Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 7 Practice 2 Equivalent Ratios to score better marks in the exam.

## Math in Focus Grade 5 Chapter 7 Practice 2 Answer Key Equivalent Ratios

**Write ratios to compare the two sets of items.**

Question 1.

The ratio of the number of CDs in Group A to the number of CDs in

Group B is ___ : ____

Answer: 4 : 8

Explanation:

Given,

Number of CD’s in Group A is 4,

Number of CD’s in Group B is 8,

So,the ratio of the number of CD’s in Group A to the number of CD’s in Group B is 4 : 8

Question 2.

The ratio of the number of CD-holders in Group A to the number of CD-holders in Group B is ___ : ____

Answer: 1 : 2

Explanation:

Given,

The number of CD – holders in Group A is 1,

The number of CD – holders in Group B is 2,

So the ratio of the number of CD – holders in Group A to the number of CD – holders in Group B is 1 : 2.

Question 3.

____ : ____ = ____ : ____ in simplest form.

Answer: 18 : 12 = 3 : 2

Explanation:

Given,

Both the numbers 18 and 12 can be divisible by 6 we get 3 : 2 to be in the simplest form.

**Write ratios to compare the two sets of items.**

Question 4.

The ratio of the number of pencils in Group A to the number of pencils in

Group B is ___ : _____

Answer: 18 : 27

Explanation:

In Group A there are 6 bundles of pencils each bundle has 3,

We need to multiply 6 with 3 we get 18,

In Group B there are 9 bundles of pencils each bundle has 3,

We need to multiply 9 with 3 we get 27,

So the ratio of the number of pencils in Group A to the number of pencils in Group B is 18 : 27.

Question 5.

The ratio of the number of bundles in Group A to the number of bundles in

Group B is ___ : ____

Answer: 6 : 9

Explanation:

There are 6 bundles of pencils in Group A,

There are 9 bundles of pencils in Group B,

So the ratio of the number of bundles in Group A to the number of bundles in Group B is 6 : 9.

Question 6.

18 : 27 = 6 : 9 = ___ : ____ in simplest form.

Answer: 2 : 3

Explanation:

Given,

Numbers 18 and 27 are divisible by 3 in the form 6 : 9,

To make it into the simplest form we need to divide by 3, we get 2 : 3.

**Find the greatest common factor of each set of numbers.**

Example :

4 and 6 __2__

Question 7.

6 and 9 _______

Answer:

The greatest coomon factor of each set of numbers is 3

Explanation:

Both the numbers 6 and 9 are divisible by 3.

Quantities 8.

6 and 18 _____

Answer: 6

Explanation:

There are four common factors of 6 and 18 that are 1,2, 3 and 6,

So the greatest common factor is 6.

Question 9.

12 and 32 ____

Answer:

4

Explanation:

The greatest common factor for 12 and 32 is 4.

**Complete.**

Question 10.

Answer: 9: 15

Quantities 11.

Answer: 28:16

Question 12.

4 : 3 = 24 : ___

Answer:24:18

Question 13.

8 : 3 = 64 : ___

Answer: 64:24

Question 14.

4 : 9 = ___ : 45

Answer: 20:45

Question 15.

6 : 7 = 42 : ___

Answer: 42:49

Question 16.

5 : 8 = 45 : ___

Answer: 45:72

Question 17.

9 : 6 = ___ : 54

Answer: 81:54

**Complete to express each ratio in simplest form.**

Question 18.

Answer: 3:2

Question 19.

Answer: 5:7

Question 20.

12 : 30 = ___ : 5

Answer: 2:5

Both the numbers 12 and 30 need to be divisble by 6 to get the simplest form of 2 : 5

Question 21.

14 : 28 = 1 : ___

Answer: 1:2

Question 22.

60 : 45 = ___ : 3

Answer: Both the numbers 60 and 45 need to be divisble by 15 to get the simplest form of 4 : 3.

Question 23.

72 : 104 = __ : 13

Answer: Both the numbers 72 and 104 need to be divisble by 8 to get the simplest form of 9 : 13.

Question 24.

6 : 16 = __ : __

Answer: Both the numbers 6 and 16 need to be divisble by 2 to get the simplest form of 3 : 8.

Question 25.

15 : 35 = __ : ___

Answer: Both the numbers 15 and 35 need to be divisble by 5 to get the simplest form of 3 : 7.

Question 26.

4 : 48 = ___, ___

Answer: Both the numbers 4 and 48 need to be divisble by 4 to get the simplest form of 1 : 12.

Question 27.

56 : 21 = __ : ___

Answer: Both the numbers 56 and 21 need to be divisble by 7 to get the simplest form of 8 : 3.