Class 5 Exam  >  Class 5 Notes  >  Mathematics for Class 5  >  Practice Questions with Solutions: Fractions

Class 5 Maths - Fractions - Question Answers

Question 1: Simplify:

(a) 40/75

40 = 2 × 2 × 2 × 5   75 = 3 × 5 × 5
Thus,  H.C.F. of 40 and 75 is 5.

Now, 40/75 = 40 ÷ 5/75 ÷ 5 = 8/15
Thus, the simplest form of 40/75 is 8/15

(b) 27/90

27 = 3 × 3 × 3   90 = 2 × 3 × 3 × 5
Thus, H.C.F. of 27 and 90 = 3 × 3 = 9.
Now, 27/90 = 27 ÷ 9/90 ÷ 9 = 3/10
Thus, the simplest form of 27/90 is 3/10


Question 2: Replace the blanks in 35/84 = 5/? by the correct number.

Class 5 Maths - Fractions - Question Answers

Since, 35 ÷ 7 = 5, so we divide 35 by 7 and also 84 by 7. 35
35/84 = 35 ÷ 7/84 ÷ 7 = 5/12
Thus, 35/84 = 5/12.


Question 3: Convert each of the following improper fractions into mixed numbers.
(a) 14/5

Thus, 14/5 = 2(4/5)
Class 5 Maths - Fractions - Question Answers

(b) 9/5

Class 5 Maths - Fractions - Question Answers

Thus, 9/5 = 1(4/5)


Question 4: Compare
(a) 4/7 and 3/5

Given fractions are 4/7 and 3/5.
Let us now find the L.C.M. of 7 and 5.
L.C.M. of 7 and 5 = 7 × 5 = 35.
Now,
Class 5 Maths - Fractions - Question Answers
Now, compare 20/35 and 21/35
Since 20 < 21 or 21 > 20, therefore,
Class 5 Maths - Fractions - Question Answers
Hence, 3/5 > 4/7.

(b) 5/12 and 7/8

Given fractions are 5/12 and 7/8
Let us now find the L.C.M. of 12 and 8.
12 = 2 × 2 × 3, 8 = 2 × 2 × 2
So, L.C.M. of 12 and 8 = 2 × 2 × 2 × 3 = 24.
Now,
Class 5 Maths - Fractions - Question Answers
Now, compare 10/24 and 21/24.
Since, 10 < 21  or  21 > 10, therefore,
Class 5 Maths - Fractions - Question Answers
Hence, 7/8 > 5/12.


Question 5: Check whether the following pairs of fractions are equivalent or not :
(a) 6/13 and 30/65

Class 5 Maths - Fractions - Question Answers[Cross multiply]
6 × 65 = 390,   13 × 30 = 390. Both the products are equal.
Thus, 6/13 and 30/65 are equivalent.

(b) 7/12 and 42/70

Class 5 Maths - Fractions - Question Answers[Cross multiply]
7 × 70 = 490,  12 × 42 = 504.  Products are not equal.
Thus, 7/12 and 42/70 are not equivalent.


Question 6: Express each of the following mixed numbers as an improper fraction.
(a) 2(3/5)

Class 5 Maths - Fractions - Question Answers

(b) 3(4/7)

Class 5 Maths - Fractions - Question Answers


Question 7: Is the fraction 16/21 in its lowest terms?

H.C.F. of 16 and 21 is 1.

Hence, the fraction 16/21 is in its lowest terms.


Question 8: Find an equivalent fraction of 5/8 with numerator 20.

Class 5 Maths - Fractions - Question Answers
To get 20 in the numerator, we multiply 5 by 4 and also 8 by 4.

5/8 = 5 x 4/8 x 4 = 20/32
Thus, 5/8 = 20/32


Question 9: Is the fraction 20/35 in its lowest terms?

H.C.F. of 20 and 35 is 5.

Hence, the fraction 20/35 is not in its lowest terms.


Question 10: Find an equivalent fraction of 56/72 with denominator 18.

Class 5 Maths - Fractions - Question Answers

To get 18 in the denominator, we divide 72 by 4 and also, 56 by 4.
56/72 = 56 ÷ 4/72 ÷ 4 = 14/18
Thus, 56/72 = 14/18.


Question 11: Divide:
(a) 15 by 5/7

Reciprocal of 5/7 is 7/5
Thus, 15Class 5 Maths - Fractions - Question Answers

(b) 28 by 3(1/5)

Reciprocal of 3(1/5) = Reciprocal of 16/5 = 5/16.
Thus, Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers


Question 12: Find the product:
(a) 
4/11 x 5/9

Class 5 Maths - Fractions - Question Answers

(b) 3(4/7) by 9/10

Class 5 Maths - Fractions - Question Answers

(c) 2(3/8) x 3(1/5)

Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers


Question 13: Preeti had one rope of 5(1/6) m length and another of 3(1/2) m length. How much length of rope did Preeti have in all?

Length of one rope = 5(1/6) m = Class 5 Maths - Fractions - Question Answers
Length of another rope 3(1/2) m = Class 5 Maths - Fractions - Question Answers
Total length of the two ropes = Class 5 Maths - Fractions - Question Answers[L.C.M. of 6 and 2 = 6]
Class 5 Maths - Fractions - Question Answers
Hence, Preeti has 8(2/3) m rope in all.


Question 14: Find the difference between 7/15 and 9/10.

L.C.M. of 15 and 10 is 30.
Now,
Class 5 Maths - Fractions - Question Answers
Hence, 27/30 > 14/30
Hence, the difference ofClass 5 Maths - Fractions - Question Answers


Question 15: Find the product of 1/2 x 3/4 x 5/8

Class 5 Maths - Fractions - Question Answers


Question 16: Divide:
(a) 5/8 by 2/7

Reciprocal of 2/7 is 7/2.
Thus, Class 5 Maths - Fractions - Question Answers

(b) 3(5/7) by 13/14

Reciprocal of 13/14 is 14/13
Thus, Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers

(c) Reciprocal ofClass 5 Maths - Fractions - Question Answers

Thus, Class 5 Maths - Fractions - Question Answers


Question 17: Compare

(a) 3/11 and 5/7

Given fractions are 3/11 and 5/7.
Cross multiply Class 5 Maths - Fractions - Question Answers

Now, 3 × 7 = 21 and 11 × 5 = 55.

Since, 21 < 55, hence, Class 5 Maths - Fractions - Question Answers

(b) 7/10 and 9/13

Cross multiply Class 5 Maths - Fractions - Question Answers

Now, 7 × 13 = 91 and 10 × 9 = 90.
Since, 91 > 90, hence,Class 5 Maths - Fractions - Question Answers


Question 18: Add 1/6, 7/12, and 1/8.

L.C.M. of 6, 12 and 8 is 24.
Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers(Changing to its lowest terms)


Question 19: Alka walks 3(1/4) km in 1 hour. How far does she go in 7 hours?

Distance covered in hour = 3(1/4) km = 13/4 km.
Distance covered in 7 hours =Class 5 Maths - Fractions - Question Answers
Hence, Alka goes 22(3/4) km in 7 hours.


Question 20: The cost of 5(5/8) litres of milk is Rs 37(1/2). What is the cost of 1 litre of milk?

Cost of 5(5/8) litres of milk = Rs 37(1/2)
The cost of 1 litre of milk = Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers
Hence, the cost of 1 litre of milk is 6(2/3).


Question 21: Subtract 2(1/6) from 3(3/5).

Class 5 Maths - Fractions - Question Answers[Changing the mixed numbers into improper fractions]
Class 5 Maths - Fractions - Question Answers[L.C.M. of 5 and 6 = 30]
Class 5 Maths - Fractions - Question Answers


Question 22: Add 5/12 and 3/8.

Let us find the L.C.M. of 12 and 8. L.C.M. of 12 and 8 = 24.
Now,Class 5 Maths - Fractions - Question Answers
Thus, Class 5 Maths - Fractions - Question Answers


Question 23: Arrange the following fractions in ascending order.Class 5 Maths - Fractions - Question Answers

Let us find the L.C.M. of the denominators of the given fractions:
5 = 1 × 5, 3 = 1 × 3, 15 = 3 × 5, 10 = 2 × 5

Thus, L.C.M of 5, 3, 15 and 10 = 2 × 3 × 5 = 30.
Now, we change each of the given fractions into equivalent fractions with denominator 30.
Class 5 Maths - Fractions - Question AnswersClass 5 Maths - Fractions - Question Answers
Clearly, 2 < 20 < 21 < 24, so, Class 5 Maths - Fractions - Question Answers
Hence Class 5 Maths - Fractions - Question Answers
Hence, the ascending order is Class 5 Maths - Fractions - Question Answers


Question 24: A vessel had 3(1/4) litres of milk. A cat drank 1/2 litres. How much milk is left in the vessel?

Milk in the vessel = Class 5 Maths - Fractions - Question Answers
Milk left in the vesselClass 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers
Hence, Class 5 Maths - Fractions - Question Answers of milk is left in the vessel.


Question 25: Shyam has Rs 42. He wants to buy chocolates for that money. If the cost of each chocolate is Rs 4(1/5), how many chocolates can he buy?

Cost of 1 chocolate = Rs 4(1/5)
Amount of money Shyam has = Rs 42
Number of chocolates Shyam can buy = Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers
Hence, Shyam can purchase 10 chocolates for Rs 42.


Question 26: Add 2(1/4), 3(5/8) and 5(1/6).

Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers[Changing the mixed numbers into improper fractions]
Class 5 Maths - Fractions - Question Answers


Question 27: Add 5/11 and 3/11.

Class 5 Maths - Fractions - Question Answers


Question 28: Divide:
(a) 5/7 by 4

Reciprocal of 4 is 1/4.
Thus, Class 5 Maths - Fractions - Question Answers

(b) 3(4/5) by 19.

Reciprocal of 19 is 1/19.
Thus,Class 5 Maths - Fractions - Question Answers


Question 29: Subtract 3/4 from 2(4/7).

Class 5 Maths - Fractions - Question Answers[Changing 2(4/7) into an improper fraction]
Class 5 Maths - Fractions - Question Answers [L.C.M. of 7 and 4 = 28]
Class 5 Maths - Fractions - Question Answers


Question 30: Add 3/17, 4/17 and 2/17.

Class 5 Maths - Fractions - Question Answers


Question 31: Arrange the following fractions in descending order. Class 5 Maths - Fractions - Question Answers

Let us find the L.C.M of the denominators of the given fractions:
8 = 2 × 2 × 2, 4 = 2 × 2, 12 = 2 × 2 × 3,   16 = 2 × 2 × 2 × 2
L.C.M. of 8, 4, 12 and 16 = 2 × 2 × 2 × 2 × 3 = 48.
Now, change each of the given fractions into equivalent fractions with denominator 48.
Class 5 Maths - Fractions - Question Answers
Clearly, 36 > 33 > 30 > 28.
 Thus,Class 5 Maths - Fractions - Question Answers
Hence, the descending order is Class 5 Maths - Fractions - Question Answers


Question 32: Multiply:

(a) 4/9 by 10

Class 5 Maths - Fractions - Question Answers

(b) 7/15 by 18.

Class 5 Maths - Fractions - Question Answers

(c) 2(3/8) by 25

Class 5 Maths - Fractions - Question Answers


Question 33: Swati had 8(3/4) m long rope. She cut it into 7 equal parts. Find the length of each piece of the rope.

Length of the rope = 8(3/4) m.
Number of pieces cut out = 7
Length of each piece
Class 5 Maths - Fractions - Question Answers
Hence, the length of each piece of the rope = 1(1/4) m.


Question 34: Add 3(2/5) and 4(3/10)

Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers [Add whole numbers and fractions separately]
Class 5 Maths - Fractions - Question Answers[L.C.M. of 5 and 10 = 10]
Class 5 Maths - Fractions - Question Answers
Another method: Change the mixed numbers into improper fractions and add.
Class 5 Maths - Fractions - Question Answers
Class 5 Maths - Fractions - Question Answers


Question 35: Find the reciprocal of:
(a)  9
(b) 7/8
(c) 4/15
(d) 3(4/7)

(a) Reciprocal of 9 = 1/9

(b) Reciprocal of 7/8 = 8/7

(c) Reciprocal of 4/15 = 15/4.
(d) 3(4/7) = 25/7
Reciprocal of 25/7 = 7/25


Question 36: Subtract 3/8 from 5/12

Let us find the L.C.M. of 8 and 12.
L.C.M. of 8 and 12 = 24.
Now,
Class 5 Maths - Fractions - Question Answers
Hence, Class 5 Maths - Fractions - Question Answers


Question 37: AddClass 5 Maths - Fractions - Question Answers

Class 5 Maths - Fractions - Question Answers[Changing 3(5/6) into an improper fraction]
Class 5 Maths - Fractions - Question Answers [L.C.M. of 15, 10 and 6 = 30]
Class 5 Maths - Fractions - Question Answers [Changing into its lowest terms]


Question 38: Subtract 4/9 from 5.

We write the whole number as a fraction by putting 1 in the denominator.
Clearly, Class 5 Maths - Fractions - Question Answers
Now, L.C.M. of 1 and 9 = 9.
Hence, Class 5 Maths - Fractions - Question Answers


Question 39: Add 3(5/8)and 1/6.

Class 5 Maths - Fractions - Question Answers[Changing 3(5/8) into an improper fraction]
Class 5 Maths - Fractions - Question Answers[L.C.M. of 8 and 6 = 24]
Class 5 Maths - Fractions - Question Answers


Question 40: The cost of 1 m of cloth is 15(2/5). Find the cost of 4(3/7) m of cloth.

Cost of 1 m of cloth = Rs 15(2/5) = Rs 77/5
Cost of 4(3/7) m of cloth = Class 5 Maths - Fractions - Question Answers
Hence, the cost of 4(3/7) m of cloth = Rs 68(1/5).

The document Class 5 Maths - Fractions - Question Answers is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Class 5 Maths - Fractions - Question Answers

1. What are fractions?
Ans. Fractions are numbers that represent parts of a whole. They are used to describe a part of a whole object or a group of objects. Fractions consist of a numerator (the number on top) and a denominator (the number on the bottom).
2. How do you read a fraction?
Ans. To read a fraction, you say the numerator as a cardinal number and the denominator as an ordinal number. For example, the fraction 3/4 is read as "three-fourths".
3. What is a proper fraction?
Ans. A proper fraction is a fraction where the numerator is less than the denominator. In other words, the value of the fraction is less than 1. For example, 2/5 is a proper fraction.
4. How do you add fractions?
Ans. To add fractions, you need to have a common denominator. If the denominators are different, you need to find the least common multiple (LCM) of the denominators and convert the fractions to have the same denominator. Then, you can add the numerators together and keep the denominator the same.
5. How do you simplify fractions?
Ans. To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and denominator. Divide both the numerator and denominator by the GCD to get the simplified form of the fraction. For example, the fraction 8/12 can be simplified to 2/3 by dividing both the numerator and denominator by 4.
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