Students often refer to Kerala State Syllabus SCERT Class 6 Maths Solutions and Class 6 Maths Chapter 2 One Fraction Many Forms Questions and Answers Notes Pdf to clear their doubts.
SCERT Class 6 Maths Chapter 2 Solutions One Fraction Many Forms
Class 6 Kerala Syllabus Maths Solutions Chapter 2 One Fraction Many Forms Questions and Answers
One Fraction Many Forms Class 6 Questions and Answers Kerala Syllabus
Numerator and Denominator (Page No. 24)
Question 1.
Find the fractions specified below:
(i) The form of \(\frac {1}{2}\) with denominator 24
(ii) The form of \(\frac {1}{2}\) with numerator 24
(iii) The form of \(\frac {1}{3}\) with denominator 24
(iv) The form of \(\frac {1}{3}\) with numerator 24
(v) The form of \(\frac {1}{4}\) with numerator 100
Answer:
(i) \(\frac{1}{2}=\frac{12}{24}\)
(ii) \(\frac{1}{2}=\frac{24}{48}\)
(iii) \(\frac{1}{3}=\frac{8}{24}\)
(iv) \(\frac{1}{3}=\frac{24}{72}\)
(v) \(\frac{1}{4}=\frac{100}{400}\)
Question 2.
Write three different forms of \(\frac {1}{4}\).
Answer:
Three different forms of \(\frac {1}{4}\) is
\(\frac{1}{4}=\frac{2}{8}=\frac{20}{80}=\frac{50}{200}\)
Question 3.
For each pair of fractions below, find three forms with the same denominator:
(i) \(\frac{1}{2}, \frac{1}{3}\)
(ii) \(\frac{1}{2}, \frac{1}{4}\)
(iii) \(\frac{1}{3}, \frac{1}{4}\)
Answer:
Question 4.
Does \(\frac {1}{3}\) have another form with a denominator of 10, 100, or 1000? Give reasons.
Answer:
No, \(\frac {1}{3}\) does not have another form with a denominator 10, 100, or 1000, because none of these numbers is divisible by 3.
Textbook Page No. 26
Question 1.
Now, can’t you fill up the following table by multiplying the numerator and denominator by a number?
Answer:
Textbook Page No. 28
Question 1.
Write each of the following fractions in lowest terms:
(i) \(\frac {32}{64}\)
(ii) \(\frac {27}{81}\)
(iii) \(\frac {30}{45}\)
(iv) \(\frac {12}{21}\)
(v) \(\frac {45}{54}\)
Answer:
(i) \(\frac{32}{64}=\frac{16}{32}=\frac{8}{16}=\frac{4}{8}=\frac{2}{4}=\frac{1}{2}\)
The largest common factor of 32 and 64 is 32
So divide 32 and 64 by 32, we get \(\frac{32}{64}=\frac{1}{2}\)
(ii) \(\frac {27}{81}\)
3, 9, 27 are the common factors of 27 and 81
\(\frac{27}{81}=\frac{9 \times 3}{27 \times 3} ; \quad \frac{27}{81}=\frac{3 \times 9}{9 \times 9} ; \quad \frac{27}{81}=\frac{1 \times 27}{3 \times 27}\)
So divide it by the largest common factor, 27, to get \(\frac {1}{3}\)
Therefore, the lowest form is \(\frac {1}{3}\).
(iii) \(\frac {30}{45}\)
Common factors are 5 and 15
So divide it by 15
\(\frac{30}{45}=\frac{2}{3}\)
(iv) \(\frac {12}{21}\)
3 is the common factor of 12 and 21
\(\frac{12}{21}=\frac{3 \times 4}{3 \times 7}=\frac{4}{7}\)
(v) \(\frac {45}{54}\)
3, 9 are the common factors of 45 and 54.
\(\frac{45}{54}=\frac{15 \times 3}{18 \times 3}=\frac{15}{18}, \quad \frac{15}{18}=\frac{5 \times 3}{6 \times 3}=\frac{5}{6}\)
First, removing the factor 9 from it will result in \(\frac {5}{6}\)
\(\frac{45}{54}=\frac{9 \times 5}{9 \times 6}=\frac{5}{6}\)
Fraction as Division (Page No. 32)
Question 1.
20 litres of water are used to fill 8 identical bottles. How many litres of water are there in each bottle?
Answer:
20 ÷ 8 = \(\frac {20}{8}\)
\(\frac {16}{8}\) = 2
The remaining 4 is divided into 8 equal parts, that is,
\(\frac{4}{8}=\frac{1}{2}\)
Therefore the quantity of water contained in one bottle is 2\(\frac {1}{2}\) liters
Or \(\frac{20}{8}=\frac{10}{4}=\frac{5}{2}=2 \frac{1}{2}\)
Question 2.
A rope of length 140 centimetres is cut into 16 equal pieces. What is the length of each piece?
Answer:
140 ÷ 16 = \(\frac {140}{16}\)
= \(\frac {70}{8}\)
= \(\frac {35}{4}\)
= 8\(\frac {3}{4}\) metre
Question 3.
If 215 kilograms of rice is divided equally among 15 people, how many kilograms of rice would each get?
Answer:
215 ÷ 15 = \(\frac{215}{15}=\frac{43 \times 5}{3 \times 5}=\frac{43}{3}\)
If 42 is divided by 3 we get 14
The remainder 1 is divided into 3 parts, we get \(\frac {1}{3}\)
The kilogram of rice each get 14\(\frac {1}{3}\) kg
Class 6 Maths Chapter 2 Kerala Syllabus One Fraction Many Forms Questions and Answers
Class 6 Maths One Fraction Many Forms Questions and Answers
Question 1.
Which is the correct statement given below:
(a) The form of \(\frac {1}{3}\) with denominator 9 is \(\frac {2}{9}\)
(b) The form of \(\frac {1}{3}\) with numerator 9 is \(\frac {9}{27}\)
(c) The form of \(\frac {1}{3}\) with denominator 6 is \(\frac {4}{6}\)
(d) The form of \(\frac {1}{3}\) with numerator 2 is \(\frac {2}{6}\)
Answer:
(b) The form of \(\frac {1}{3}\) with numerator 9 is \(\frac {9}{27}\)
(d) The form of \(\frac {1}{3}\) with numerator 2 is \(\frac {2}{6}\)
Question 2.
Which is the wrong statement given below:
(a) Another form of \(\frac {1}{4}\) is \(\frac {5}{20}\)
(b) Another form of \(\frac {3}{7}\) is \(\frac {9}{21}\)
(c) Another form of \(\frac {5}{8}\) is \(\frac {30}{40}\)
(d) Another form of \(\frac {9}{10}\) is \(\frac {27}{30}\)
Answer:
(c) Another form of \(\frac {5}{8}\) is \(\frac {30}{40}\)
Multiplying 8 by 5 we get 40, and multiplying 5 by 5 we get 25.
So the another form of \(\frac {5}{8}\) is \(\frac {25}{40}\)
Question 3.
Match the following:
Answer:
Question 4.
The form of \(\frac {3}{5}\) with denominator 25 is _____________
Answer:
\(\frac{3}{5}=\frac{15}{25}\) (3 × 5 = 15, 5 × 5 = 25)
Question 5.
The form of \(\frac {1}{8}\) with numerator 10 is _____________
Answer:
\(\frac{1}{8}=\frac{10}{80}\) (1 × 10 = 10, 8 × 10 = 80)
Question 6.
Write 3 different forms of \(\frac {3}{10}\)?
Answer:
\(\frac{3}{10}=\frac{6}{20}=\frac{12}{40}=\frac{24}{80}\)
Question 7.
Write 3 different forms of the pair \(\frac {2}{5}\), \(\frac {1}{6}\) with same denominator.
Answer:
\(\frac {2}{5}\), \(\frac {1}{6}\)
Denominator 30: \(\frac{12}{30}, \frac{5}{30}\)
Denominator 60: \(\frac{24}{60}, \frac{10}{60}\)
Denominator 120: \(\frac{48}{120}, \frac{20}{120}\)
Question 8.
If 10 litres of milk are filled into 3 identical bottles. How many litres of milk are contained in one bottle?
Answer:
Milk contained in one bottle is 10 ÷ 3 = \(\frac {10}{3}\) = 3\(\frac {1}{3}\) litres
Question 9.
Dividing 12 by which number is equal to 24 divided by 18.
Answer:
24 ÷ 18 = 12 ÷ 9 (\(\frac{24}{18}=\frac{12}{9}\))
Question 10.
Write the lowest term of \(\frac {60}{90}\).
Answer:
Lowest term is \(\frac{60}{90}=\frac{2 \times 30}{3 \times 30}=\frac{2}{3}\)
Class 6 Maths Chapter 2 Notes Kerala Syllabus One Fraction Many Forms
→ Multiplying the numerator and denominator of a fraction by the same natural number gives a form of the same fraction.
→ If the numerator and denominator of a fraction have a common factor, then dividing them by this common factor gives a form of this fraction.
→ The form of a fraction in the lowest terms is obtained by removing all common factors of the numerator and denominator by division.
→ If we remove common factors of the numerator and denominator of a fraction, then we get another form of the same fraction.
→ In writing divisions with remainders as fractions, we can remove common factors of the numerator and denominator.
Fractions are numerical representations used to describe parts of a whole or the ratio between quantities. A fraction consists of two components: the numerator (the top number), which shows how many parts are being considered, and the denominator (the bottom number), which indicates the total number of equal parts the whole is divided into. Fractions are commonly used in everyday life to divide objects or quantities evenly, express proportions, and make comparisons. In this chapter, we will explore the concept of fractions in detail and learn how a single fraction can be expressed in various forms.
Numerator and Denominator
→ A portion of two equal parts is called a half. It is also known as one by two portion and is written as \(\frac {1}{2}\).
→ If an object is divided into 4 equal parts and 2 parts are taken, or it is divided into 6 equal parts and 3 parts are taken, or even if it is divided into 8 equal parts and 4 parts are taken. In all these cases, the portion taken is the same as \(\frac {1}{2}\) of the whole.
→ If an object is divided into 3 equal parts, then 1 part is \(\frac {1}{3}\) (one-third) and 2 parts are \(\frac {2}{3}\) (two-thirds) of the whole.
→ If an object is divided into 4 equal parts, then 1 part represents \(\frac {1}{4}\) (one-fourth or a quarter), and 3 parts represent \(\frac {3}{4}\) (three-fourths or three-quarters) of the whole.
→ Like this, fractions are the numbers used to represent parts of an object being considered.
→ If 2 objects are divided into 3 equal parts, then one part will be \(\frac {2}{3}\) of it.
→ If 3 objects are divided into 2 equal parts, each part will be \(\frac {3}{2}\), which is equal to one and a half.
\(\frac{3}{2}=1+\frac{1}{2}=1 \frac{1}{2}\)
Now let’s check the different forms of a fraction in detail:
→ Different forms of the fraction \(\frac {1}{2}\) are \(\frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{5}{10}\)
→ Similarly different forms of \(\frac {1}{3}\) are \(\frac{2}{6}, \frac{3}{9}, \frac{4}{12}, \frac{5}{15}\)
→ If an object is divided into 100 equal parts and we take 50 of them or divide it into 50 equal parts and we take 25 of them will be half \(\frac {1}{2}\). So \(\frac{1}{2}, \frac{25}{50}, \frac{50}{100}\) are all different forms of a fraction.
→ Similarly, we can see the different forms of the fraction \(\frac {1}{3}\) as \(\frac{10}{30}, \frac{20}{60}, \frac{100}{300}\)
→ For the fraction \(\frac {1}{2}\), its numerator is 1 and denominator is 2.
→ For the fraction \(\frac {2}{3}\), its numerator is 2 and denominator is 3.
To get the different forms of a fraction when the numerator is 1, we can write the numerator as the number used to multiply the denominator.
Another form of \(\frac {1}{2}\)
If we multiply 2 by 8, we get 16
So another form of \(\frac {1}{2}\) is \(\frac {8}{16}\).
Another form of \(\frac {1}{5}\)
If we multiply 5 by 10, we get 50
Numerator = 10, Denominator = 50
So another form of \(\frac {1}{5}\) is \(\frac {10}{50}\).
The form of \(\frac {1}{7}\) with denominator 21
If we multiply 7 by 3, we get 21
The numerator of another form is 3
So the another form is \(\frac {3}{21}\)
The form of \(\frac {1}{4}\) with denominator 10 is \(\frac {10}{40}\)
Because the denominator is multiplied by 10 is its numerator.
Write the different forms of \(\frac {1}{7}\)
Write the numerator as the number multiplied by 7
7 × 4 = 28 → \(\frac {4}{28}\)
7 × 6 = 42 → \(\frac {6}{42}\)
7 × 10 = 70 → \(\frac {10}{70}\)
Complete the following given below.
Question 1.
The form of \(\frac {1}{6}\) with denominator 12 is _____________
Answer:
The denominator of \(\frac {1}{6}\) is multiplied by 2, we get 12.
So its numerator is 12
Therefore the form is \(\frac {2}{12}\)
Question 2.
The form of \(\frac {1}{10}\) with denominator 40 is _____________
Answer:
The denominator of \(\frac {1}{10}\) is multiplied by 4, we get 40.
So its numerator is 4
Therefore the form is \(\frac {4}{40}\)
Question 3.
The form of \(\frac {1}{8}\) with numerator 4 is _____________
Answer:
The denominator of \(\frac {1}{8}\) is multiplied by 4, we get 32.
So its numerator is 4
That is \(\frac{1}{8}=\frac{4}{32}\)
(Since the numerator will be the number used to multiply the denominator)
Question 4.
The form of \(\frac {1}{12}\) with numerator 5 is _____________
Answer:
The denominator of \(\frac {1}{12}\) is multiplied by 5, we get 60.
So its numerator is 5
Therefore the form is \(\frac{1}{12}=\frac{5}{60}\)
Question 5.
The form of \(\frac {1}{5}\) with denominator 50 is _____________
Answer:
The denominator of \(\frac {1}{5}\) is multiplied by 10, we get 50.
So its numerator is 10
Therefore the form is \(\frac{1}{5}=\frac{10}{50}\)
Question 6.
The form of \(\frac {1}{7}\) with numerator 20 is _____________
Answer:
The denominator of \(\frac {1}{7}\) is multiplied by 20, we get 140.
So its numerator is 20
Therefore the form is \(\frac{1}{7}=\frac{20}{140}\)
Question 7.
Any 3 different forms of \(\frac {1}{4}\) is _____________
Answer:
Different forms of \(\frac {1}{4}\) is,
Question 8.
Any 3 different forms of \(\frac {1}{8}\) is _____________
Answer:
Different forms of fractions:
So far, we have discussed the different forms of fractions with a numerator of 1.
To find the different forms of fractions in this form, we can take the numerator as the number that is used to multiply the denominator.
\(\frac{1}{4}=\frac{1 \times 10}{4 \times 10}=\frac{10}{40}\)
How do we find the different forms of \(\frac {2}{5}\)?
For this, we have to multiply both the numerator and denominator by the same number.
In the fraction \(\frac {2}{5}\), multiply 5 by 2, we get 10.
Here, we multiply the denominator by 2, so we need to multiply the numerator also by 2.
That is, \(\frac{2}{5}=\frac{2 \times 2}{5 \times 2}=\frac{4}{10}\)
Another form, \(\frac{2}{5}=\frac{2 \times 5}{5 \times 5}=\frac{10}{25}\)
That means instead of taking 2 from 5 equal parts, take 4 from 10 equal parts (\(\frac{2}{5}=\frac{4}{10}\))
Similarly, instead of taking 2 from 5 equal parts, take 10 from 25 equal parts (\(\frac{2}{5}=\frac{10}{25}\))
Now check the different forms of \(\frac {3}{7}\).
\(\frac{3}{7}=\frac{6}{14}\) (multiply 7 by 2, we get 14, and multiply 3 by 2, we get 6)
\(\frac{3}{7}=\frac{30}{70}\) (multiply 7 by 10 we get 70, and multiply 3 by 10 we get 30)
Complete the following given below:
Question 1.
The form of \(\frac {2}{3}\) with denominator 15 is _____________
Answer:
Multiply 3 by 5 to get the denominator as 15
So, multiply 2 by 5, and we get the numerator as 10
\(\frac{2}{3}=\frac{2 \times 5}{3 \times 5}=\frac{10}{15}\)
Question 2.
The form of \(\frac {3}{4}\) with denominator 100 is _____________
Answer:
Multiply 4 by 25 to get the denominator as 100
So, multiply 3 by 25, and we get the numerator as 75
\(\frac{3}{4}=\frac{3 \times 25}{4 \times 25}=\frac{75}{100}\)
Question 3.
The form of \(\frac {5}{8}\) with numerator 25 is _____________
Answer:
Multiply 5 by 5 to get the numerator as 25
So, multiply 8 by 5, and we get the denominator as 40
\(\frac{5}{8}=\frac{5 \times 5}{8 \times 5}=\frac{25}{40}\)
Question 4.
The form of \(\frac {7}{10}\) with numerator 70 is _____________
Answer:
Multiply 7 by 10 to get the numerator as 70
So, multiply 10 by 10, we get the denominator as 100
\(\frac{7}{10}=\frac{7 \times 10}{10 \times 10}=\frac{70}{100}\)
Question 5.
The 3 forms of \(\frac {3}{8}\) is _____________
Answer:
Different forms is,
Question 6.
The 3 forms of \(\frac {5}{7}\) is _____________
Answer:
Different forms is,
Till now, we have discussed the fractions with a numerator of 1 and different numbers separately.
In general, we can say this: “Multiplying the numerator and denominator of a fraction by the same natural number gives a form of the same fraction.”
For example: \(\frac{1}{5}=\frac{1 \times 6}{5 \times 6}=\frac{6}{30}, \quad \frac{2}{5}=\frac{2 \times 6}{5 \times 6}=\frac{12}{30}\)
Lowest terms:
We can form the different forms of a fraction by multiplying the numerator and denominator by the same number.
Let’s look at another form of \(\frac {20}{25}\);
We can divide 20 and 25 by their factor 5.
Divide 20 by 5, and we get 4
Divide 25 by 5, we get 5
Therefore \(\frac{20}{25}=\frac{4}{5}\)
Now 1 is the only number that can divide 4 and 5.
So the lowest form of \(\frac {20}{25}\) is \(\frac {4}{5}\).
Now let’s look at another form of \(\frac {30}{36}\);
Divide 30 and 36 by their common factor 2, we get
\(\frac{30}{36}=\frac{15}{18}\)
Now, divide 15 and 18 by their common factor 3, and we get
\(\frac{15}{18}=\frac{5}{6}\) (15 ÷ 3 = 5, 18 ÷ 3 = 6)
There is no common factor for 5 and 6.
So the lowest form of \(\frac {30}{36}\) is \(\frac {5}{6}\).
(Instead of dividing the numerator and denominator of the fraction \(\frac {30}{36}\) by 2 and 3, it is enough to divide both 30 and 36 by their common factor 6)
\(\frac{30}{36}=\frac{15}{18}=\frac{5}{6}\)
Like this, find another form of \(\frac {40}{50}\) by removing their common factor;
Divide both 40 and 50 by their common factor 5,
40 ÷ 5 = 8, 50 ÷ 5 = 10
\(\frac{40}{50}=\frac{8}{10}\)
2 is the factor of 8 and 10.
So, divide both 8 and 10 by 2, we get
8 ÷ 2 = 4, 10 ÷ 2 = 5
\(\frac{8}{10}=\frac{4}{5}\)
There is no common factor for 4 and 5, so the lowest form of \(\frac {40}{50}\) is \(\frac {4}{5}\).
(When the numerator and denominator of \(\frac {40}{50}\) is divided by 10 we get \(\frac {4}{5}\))
By removing the common factor of the numerator and denominator of any fraction, we get the lowest form of this fraction.
In general, if the numerator and denominator of a fraction have a common factor, then dividing them by this common factor gives a form of this fraction.
Write each of the following fractions in lowest terms:
(i) \(\frac {21}{28}\)
Answer:
7 is a factor of 21 and 28
Divide 21 by 7 we get 3
Divide 28 by 7 we get 4
\(\frac{21}{28}=\frac{3}{4}\) (3 and 4 do not have any common factor)
(ii) \(\frac {35}{50}\)
Answer:
5 is a factor of 35 and 50
35 ÷ 5 = 7, 50 ÷ 5 = 10
\(\frac{35}{50}=\frac{7}{10}\)
(iii) \(\frac {6}{60}\)
Answer:
2 is the factor of 6 and 60
So, \(\frac{6}{60}=\frac{3}{30}\)
3 is the factor of 3 and 30
\(\frac{3}{30}=\frac{1}{10}\)
(iv) \(\frac {40}{70}\)
Answer:
5 is a factor of 40 and 70
So, \(\frac{40}{70}=\frac{8}{14}\)
2 is a factor of 8 and 14
\(\frac{8}{14}=\frac{4}{7}\)
4 and 7 do not have any common factor.
So the lowest form is \(\frac {4}{7}\)
(Also 40 and 70 can be divided by 10 to get \(\frac {4}{7}\))
(v) \(\frac {7}{70}\)
Answer:
7 is the factor of 7 and 70
7 ÷ 7 = 1, 70 ÷ 10 = 7
\(\frac{7}{70}=\frac{1}{10}\)
Fraction as Division
In class 5, we have seen that the fraction \(\frac {2}{3}\) can be expressed in two different ways.
- If one is divided into 3 equal parts and 2 fares are taken from it.
- If two is divided into 3 equal parts and 1 is removed from it.
Any division can be written as a fraction like this.
For example 8 ÷ 4 = \(\frac {8}{4}\)
The lowest form is
\(\frac{8}{4}=\frac{2}{1}\) = 2
10 ÷ 5 = \(\frac {10}{5}\) = 2
24 ÷ 6 = \(\frac {24}{6}\) = 4
We can write like this.
\(\frac {4}{1}\) means 4 itself.
Like this, any natural number with a denominator of 1 can be expressed as a fraction.
\(\frac {5}{1}\) = 5, \(\frac {50}{1}\) = 50, \(\frac {100}{1}\) = 100
The remaining divisions can also be written as fractions.
If a 3 metre ribbon is divided equally among 2 people. Then what is the length of the ribbon each will get?
Answer:
One will get 3 ÷ 2.
Each person will get 1 metre of ribbon and 1 metre as a remainder.
Divide the remainder of 1 metre equally among the 2 people.
Each will get \(\frac {1}{2}\) metre.
So one person will get, 1 metre + \(\frac {1}{2}\) metre = 1\(\frac {1}{2}\) metre.
Like this, what is 8 ÷ 3?
8 ÷ 3 = \(\frac {8}{3}\)
Divide 6 into 3 equal parts, we get 2
Divide the remaining 2 into 3 equal parts, that is \(\frac {2}{3}\)
So, \(\frac{8}{3}=2 \frac{2}{3}\)
\(\frac {15}{4}\)
Divide 12 by 4, and we get 3
Divide the remaining 3 into 4 equal parts, we get \(\frac {3}{4}\)
So, \(\frac{15}{4}=3 \frac{3}{4}\)
If 14 is divided into 4 parts
\(\frac{14}{4}=\frac{7}{2}\)
That means dividing 14 into 4 parts is the same as dividing 7 into 2 parts.
\(\frac{14}{4}=3 \frac{2}{4}=3 \frac{1}{2}\)
\(\frac{7}{2}=3 \frac{1}{2}\)
Write the following in the form of fractions:
15 ÷ 3 = \(\frac {15}{3}\) = 5
21 ÷ 7 = \(\frac {21}{7}\) = 3
24 ÷ 4 = \(\frac {24}{4}\) = 6
32 ÷ 16 = \(\frac {32}{16}\) = 2
7 ÷ 3 = \(\frac {7}{3}\)
If 7 is divided into 3 parts, we get 2, and the remaining 1 is divided into 3 parts
\(\frac{7}{3}=2 \frac{1}{3}\)
25 ÷ 7 = \(\frac {25}{7}\)
If 21 is divided into 7 equal parts, we get 3, and the remaining 4 is divided into 7 parts
\(\frac{25}{7}=3 \frac{4}{7}\)
Answer the following questions:
Question 1.
If a 12 metre long ribbon is divided among 5 people. How long will a person get?
Answer:
12 ÷ 5 = \(\frac {12}{5}\)
If 10 is divided into 5 equal parts, we get 2, and the remaining 2 is divided into 5 parts, that is \(\frac {2}{5}\)
One person will get 2\(\frac {2}{5}\)
Question 2.
If a 37 metre iron rod is divided into 5 equal parts. What is the length of the rod in metres?
Answer:
37 ÷ 5 = \(\frac {37}{5}\)
If 35 is divided into 5 equal parts, we get 7, and the remaining 2 is divided into 5 parts, that is \(\frac {2}{5}\)
The length of one rod is 7\(\frac {2}{5}\) metre
Question 3.
If 18 kg of sugar is packed equally in 7 identical packets. What is the quantity of sugar in one packet?
Answer:
18 ÷ 7 = \(\frac {18}{7}\)
If 14 is divided into 7 equal parts, we get 2, and the remaining 4 is divided into 7 parts, that is \(\frac {4}{7}\)
Sugar in one packet is 2\(\frac {4}{7}\)
Question 4.
If 20 litres of coconut oil are filled in 6 bottles, then how many liters are in each bottle contains.
Answer:
20 ÷ 6 = \(\frac {20}{6}\)
If 18 is divided into 6 equal parts, we get 3, and the remaining 2 is divided into 6 parts, that is \(\frac{2}{6}=\frac{1}{3}\).
One bottle contain 3\(\frac {1}{3}\)
Or dividing 20 into 6 parts is the same as dividing 10 into 3 parts.
\(\frac{20}{6}=\frac{10}{3}, \quad \frac{10}{3}=3 \frac{1}{3}\)