Worksheet on Fractions

Practice Questions on Fractions

1. Which of the following is the lowest form of fraction 119/91 ?

a) 1¹⁄₁₃
b) 1²⁄₁₃
c) 1⁴⁄₁₃
d) 13/17

Answer: c) 1⁴⁄₁₃

Explanation: 7 is the common factor in the numerator and denominator of the fraction 119/91.

Therefore, lowest form of ¹¹⁹⁄₉₁ = ^7×17⁄_7×13 = ¹⁷⁄₁₃

In the lowest form of a fraction, the numerator 17 and denominator 13 have only one common factor of 1.

Simplest form in mixed fractions = ¹⁷⁄₁₃
= ¹³⁺⁴⁄₁₃
= ¹³⁄₁₃ + ⁴⁄₁₃
= 1+⁴⁄₁₃
= 1⁴⁄₁₃

2. How much should I add to 5/11 make it 2³⁄₁₁?

a) 10/11
b) 15/11
c) 20/11
d) 25/11

Answer: c) 20/11

Explanation: Number should be added to ⁵⁄₁₁ make it 2³⁄₁₁

= 2³⁄₁₁ − ⁵⁄₁₁= ²⁵⁄₁₁ − ⁵⁄₁₁= ^25-5⁄₁₁= ²⁰⁄₁₁

3. What is the sum of the three shaded fractions given below?

$cmo-fractions-c4-7$

a) 1/2
b) 1/4
c) 1/3
d) 3/4

Answer: d) 3/4

Explanation: Sum of fractions = ¹⁄₄ + ¹⁄₄ + ¹⁄₄ = ³⁄₄

4. What is the fraction of pizza left if the two slices are eaten as shown?

$cmo-fractions-c4-8$

a) 1/4
b) 3/4
c) 1/8
d) 3/8

Answer: b) 3/4

Explanation: If two slices of pizza are eaten, then six slices are left.

Fraction of pizza left = 6/8
= 3/4

In the lowest form of a fraction, the numerator 3 and denominator 4 have only one common factor (a number that divides them both) of 1.

5. 140 kg of cashew sweets were bought for the marriage party. Out of which ? th was consumed by the guests. How much cashew sweets are left?

$cmo-fractions-c4-9$

a) 56 kg
b) 72 kg
c) 80 kg
d) 84 kg

Answer: a) 56 kg

Explanation: Total weight of cashew sweet purchased = 140 kg

Out of which ²⁄₅th was consumed by the guests.

Total weight of cashew sweet consumed = ³⁄₅ × 140 kg
= 3 × (¹⁴⁰⁄₅) kg
= 3 × 28 kg
= 84 kg

Total weight of cashew sweet consumed = 140 − 84 = 56 kg

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