Divide the sum of 3 5 , 2 3 15 and 3 10 by sum of 1 12 and 1 8 .

First, add the given fractions, Sum of 3 5 , 2 3 15 and 3 10 = 3 5 + 33 15 + 3 10 LCM of 5 , 10 , 15 is 30 Converting them into like fractions, 3 5 = 3 × 6 5 × 6 = 18 30 , 33 15 = 33 × 2 15 × 2 = 66 30 , 3 10 = 3 × 3 10 × 3 = 9 30 Now, the sum of 3 5 , 2 3 15 and 3 10 18 30 + 66 30 + 9 30 = 18 + 66 + 9 30 = 93 30 = 31 10 Now, for sum of 1 12 and 1 8 LCM of 8 , 12 is 24 Converting into like fractions, 1 12 = 1 × 2 12 × 2 = 2 24 , 1 8 = 1 × 3 8 × 3 = 3 24 Sum of 1 12 and 1 8 1 12 + 1 8 = 2 24 + 3 24 = 2 + 3 24 = 5 24 Now, Sum of 3 5 , 2 3 15 and 3 10 ÷ Sum of 1 12 and 1 8 = 31 10 ÷ 5 24 = 31 10 × 24 5 = 372 25

E M B I B E

Active Teach Maths Ace>Chapter 2 - Fractions>HOTS

Alka Tuli and Rajesh Hassija Solutions for Chapter: Fractions, Exercise 6: HOTS

Author:Alka Tuli & Rajesh Hassija

Alka Tuli Mathematics Solutions for Exercise - Alka Tuli and Rajesh Hassija Solutions for Chapter: Fractions, Exercise 6: HOTS

Attempt the free practice questions on Chapter 2: Fractions, Exercise 6: HOTS with hints and solutions to strengthen your understanding. Active Teach Maths Ace solutions are prepared by Experienced Embibe Experts.

Questions from Alka Tuli and Rajesh Hassija Solutions for Chapter: Fractions, Exercise 6: HOTS with Hints & Solutions

EASY

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 2 - Fractions>HOTS>Q 1

Find $\frac{3}{16}$ of $3 \frac{5}{9}$ of $21$ .

HARD

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 2 - Fractions>HOTS>Q 2

Divide the sum of $\frac{3}{5}$ , $2 \frac{3}{15}$ and $\frac{3}{10}$ by sum of $\frac{1}{12}$ and $\frac{1}{8}$ .

EASY

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 2 - Fractions>HOTS>Q 3

When $\frac{3}{16}$ is multiplied by $a$ , we get $1$ . Find the value of $a$ in the form of $\frac{p}{q}$

EASY

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 2 - Fractions>HOTS>Q 4

Romi’s mother baked $9$ cakes on Romi’s birthday. Romi cut each cake equally in $9$ pieces for the guests. After the party was over, he found there were $20$ pieces left. Assuming each guest took only $1$ piece of cake, how many guests attended the party?

MEDIUM

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 2 - Fractions>HOTS>Q 5

If $\frac{1}{4}$ of a number equals $\frac{2}{5} \div \frac{1}{20}$ , what is the number?