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.