Students often refer to Kerala State Syllabus SCERT Class 5 Maths Solutions and Class 5 Maths Chapter 8 Fractions Questions and Answers Notes Pdf to clear their doubts.
SCERT Class 5 Maths Chapter 8 Solutions Fractions
Class 5 Maths Chapter 8 Fractions Questions and Answers Kerala State Syllabus
Fractions Class 5 Questions and Answers Kerala Syllabus
Question 1.
i) If 3 cakes are divided equally among 4 persons, what fraction of a cake would each one get?
ii) If a 3 metre long ribbon is cut into four equal pieces, what would be the length of a piece in metres?
iii) If 3 litres of milk is divided equally among 4 persons, how much milk would each get, in litres?
Answer:
i) If one cake is divided equally among 4 persons, each will get \(\frac{1}{4}\) of the cake.
We have 3 cakes, each will get \(\frac{1}{4}\) from each cake.
So, altogether each person gets \(\frac{3}{4}\) of the whole cake.
ii) If one-meter long ribbon cut into four equal pieces, length of each piece is \(\frac{1}{4}\) metre.
Consider 3 metre long ribbon as 3 one metre long ribbons.
So, the length of a piece will be \(\frac{3}{4}\) metres.
iii) If one litre of milk is divided equally among 4 persons, each will get \(\frac{1}{4}\) litre.
Consider 3 litres of milk as 3 one litre of milk.
So, each get \(\frac{3}{4}\) litre.
Question 2.
If a 2 metre long rope is cut into 5 equal pieces, what would be the length of each piece in metres?
Answer:
If one metre long rope is cut into 5 equal pieces, each piece will be \(\frac{1}{5}\) metre.
Consider 2 metre long rope as two 1 metre long ropes.
So, the length of each piece will be \(\frac{2}{5}\) metre.
Question 3.
4 kilograms of sugar is divided into 5 packets of the same weight. How much sugar, in kilograms, is there in each packet?
Answer:
If one kilogram sugar is divided into 5 packets of the same weight each packet will have \(\frac{1}{5}\) kilograms.
Consider 4 kilograms as four 1 kilogram sugar.
So, each packet will have \(\frac{4}{5}\) kilogram.
For each of the problems below, write the answer as a single fraction and as a whole number and a fraction.
Question 4.
If an 8 metre long string is cut into 5 equal parts, what would be the length of each piece?
Answer:
Total length of the string = 8 metres
It is divided into 5 equal parts.
Giving one metre to each , it left with 3 metres.
Dividing 3 metre to 5 equal pieces each gets
Length of each piece = \(\frac{8}{5}\) = 1 \(\frac{3}{5}\) metres
Question 5.
15 litres of kerosene is divided equally into 4 cans, How much does each can contain, in litres?
Answer:
Total amount of kerosene =15 litres
Number of cans = 4
Giving 3 litres to each can, it left with 3 litres.
Distributing this 3 litres equally among 4 cans , each get \(\frac{3}{4}\) litre.
∴ Amount of kerosene in each can = \(\frac{15}{4}\) = 3 \(\frac{3}{4}\) litres
Question 6.
If 25 kilograms of sugar is divided equally among 8 persons, how much would each get, in kilograms?
Answer:
Total amount of sugar = 25 kilogram
Number of person = 8
Giving 3 kilogram of sugar to each , it left with 1 kilogram.
Distributing this 1 kilogram equally among 8 persons, each get \(\frac{1}{8}\) kilogram.
∴ Amount of sugar each would get = 25 ÷ 8 = \(\frac{25}{8}\) = 3\(\frac{1}{8}\) kilogram
For each of the problems, write the answer either as a w hole number and fraction or as quotient and remainder, according to the situation.
Question 7.
If 15 metres of cloth is divided equally among 4 persons, how many metres of cloth would each one get?
Answer:
Total length of cloth =15 metres
Number of persons = 4
Each get.= 15 ÷ 4 = \(\frac{15}{4}\) = 3 \(\frac{3}{4}\) metres
Question 8.
If 250 rupees is equally shared by 8 persons, how much money would each one get? Write this in rupees and paise.
Answer:
Total amount = 250 rupees
Number of persons = 8
Amount of money each gets = 250 ÷ 8 = \(\frac{250}{8}\) = 31 \(\frac{1}{4}\) rupees.
That is 31 rupees and 25 paise.
Question 9.
How many boxes are required to pack 100 eggs with 12 in each box?
Answer:
Total number of eggs = 100
Number of eggs in each box =12
No of boxes required = 100 ÷ 12 = 8 \(\frac{4}{12}\) = 8 \(\frac{1}{3}\)
So, 8 boxes are required to pack 100 eggs with 12 in each box and it left with 4 eggs.
Question 10.
If 15 litres of milk is divided equally among 4 persons, how much would each get, in litres?
Answer:
Total amount of milk =15 litres
Number of persons = 4
Amount of milk each get = 15 ÷ 4 = \(\frac{15}{4}\) = 3\(\frac{3}{4}\) litres
Question 11.
Among how many persons can 15 litres of milk be shared, if each is to get 4 litres?
Answer:
Total amount of milk =15 litres
Amount of milk each get = 4 litres
No of people can have milk = 15 ÷ 4 = \(\frac{15}{4}\) = 3\(\frac{3}{4}\)
So, 3 persons can share 15 litres of milk such that each get 4 litres and left with 3 litres.
Intext Questions And Answers
Question 1.
If a three metre long ribbon is cut into two equal pieces, what would be the length of each piece?
Answer:
3 metre means 2 metre and 1 metre
To cut 3 metre into two equal pieces , then half of three metre is half of 2 metre and half of 1 metre together.
That is one and a half meter
Question 2.
If 2 litre milk is divided equally among 3 persons, how much would each get?
Answer:
Each would get 2 ÷ 3 = \(\frac{2}{3}\) litre
Question 3.
If seven litres of milk is divided equally among two kids, how much would each get, in litres?
Answer:
If we give three litres to each then it left with one litre of milk. The one litre left can also be shared by giving half a litre to each.
i. e, Each would get 7 ÷ 2, which gives quotient 3 and remainder 1.
7 ÷ 2 = \(\frac{7}{2}\) = 3\(\frac{1}{2}\)litres.
Question 4.
If 7 pens are divided between two persons, how many pens would each get?
Answer:
Total no of pens = 7
No of pen would each get = \(\frac{7}{2}\) = 3 \(\frac{1}{2}\)
Class 5 Maths Chapter 8 Kerala Syllabus Fractions Questions and Answers
Question 1.
Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person?
Answer:
Number of fruits = 1
Number of persons = 6
Part of cake each person get = \(\frac{1}{6}\) part
Question 2.
Sidharth has a cake. He cuts it into 10 equal parts. He gave 2 parts to Naman, 3 parts to Nidhi, 1 part to Seema and the remaining four parts he kept for himself.Find:
i) What fraction of cake he gave to Naman?
ii) What fraction of cake he gave to Nidhi?
iii) What fraction of cake,he gave to Seema?
Answer:
Number of cakes = 1
Number of parts = 10
Each part is \(\frac{1}{10}\)
i) Sidharth gave 2 parts to Naman.
∴ Fraction of cake with Naman = 2 × \(\frac{1}{10}\) = \(\frac{2}{10}\)
ii) Sidharth gave 3 parts to Nidhi.
∴ Fraction of cake with Nidhi = 3 × \(\frac{1}{10}\) = \(\frac{3}{10}\)
iii) Sidharth gave 1 part to Seema.
∴ Fraction of cake with Seema = \(\frac{1}{10}\)
Question 3.
If 6500 rupees is equally shared by 16 persons, how much money would each one get? Write this in rupees and paise.
Answer:
Total amount = 6500 rupees
Number of persons =16
Amount each person get = 6500 ÷ 16 = \(\frac{6500}{16}\)
= 406 \(\frac{1}{4}\) rupees
= 406 rupees and 25
Question 4.
Nine litres of milk is equally shared by four kids. How much does each get?
What if it were shared by three?
Answer:
Amount of milk = 9 litres
Number of kids = 4
Amount of milk each kid get = \(\frac{9}{4}\) = 2 \(\frac{1}{2}\) litres.
If it is shared by three, amount of milk each kid get = \(\frac{9}{3}\) = 3 litres.
Question 5.
Six kilogram of rice is packed into four identical bags. How much rice is in each bag?
Answer:
Amount of rice = 6 kilogram
Number of bags = 4
∴ Amount of rice in each bag = 6 ÷ 4 = \(\frac{6}{4}\)
= 1 \(\frac{2}{4}\)
= 1 \(\frac{1}{2}\) kilograms
Question 6.
Among how many persons can 23 litres of milk be shared, if each is to get 5 litres?
Answer:
Total amount of milk = 23 litres
Amount of milk each get = 5 litres
23 ÷ 5 = \(\frac{23}{5}\) = 4\(\frac{3}{5}\)
Distributing 5 litres of milk each to 4 persons, it left with 3 litres of milk.
So, 4 persons can share 23 litres of milk such that each get 5 litres and left with 3 litres.
Question 7.
4 metre long ribbon equally divided into 3 equal parts. What is the length of each piece ?
Answer:
Total length of the ribbon = 4 metres
Number of equal parts = 3
Length of each piece = 4 ÷ 3 = \(\frac{4}{3}\)
= 1 \(\frac{1}{3}\) metres
Class 5 Maths Chapter 8 Notes Kerala Syllabus Fractions
What is equal sharing?
Imagine you have 12 cookies and you want to share them equally among your 4 friends. How many cookies will each friend get? 3 cookies each, right? Equal sharing means dividing something (like cookies, toys, or money) into equal parts so everyone gets the same amount.
In this chapter we deal with equal sharing. Portions that are exactly the same size are referred to as equal parts. Equal sharing is mathematically called as division and division is denoted by the symbol “÷”. This can also represented by fractions, i.e. fractional share.
Division rule :
- Dividend = (Divisor × Quotient) + Remainder
- The dividened is the number that is to be divided.
- The divisor is the number to be divided with.
- The Quotient is the result.
Fractional Share
Suppose we have a cake and we have to divide it equally among two persons. Then each will get half of the original cake.
What if we divide equally among three persons?
That is each will get \(\frac{1}{3}\) of the original cake.
Now, if we cut other cake and give equally to three persons, again each get another \(\frac{1}{3}\) part of the cake.
So, each person gets \(\frac{2}{3}\) of the whole cake.
Now look at another problem:
We have to divide 2 metre long ribbon into three equal parts.
Next fold each 1 metre part into 3 and mark the folds.
Now, if we cut off pairs of these parts, we get three equal parts.
Dividing one into three equal parts and taking two of them, and dividing two into three equal 2 parts and taking one of them, both are \(\frac{2}{3}\).
New Fractions
Suppose we have to divide 3 cake among two persons. First, we can give one whole cake to each.
Thus, each one gets one and a half cake.
- Portions that are exactly the same size is equal parts.
- Equal sharing is mathematically called as division, which is denoted by the symbol “÷”
- Division Rule:
Dividend = (Divisor × Quotient) + Remainder - The dividend is the number that is to be divided.
- The divisor is the number to be divided with
- Quotient is the result.