1. Equivalent ratios

2. Steps for Equivalent ratios
Express the given ratio in fractional form
Then multiply that fraction’s numerator and denominator with the same number.
Then write the answers in ratio form.

3. Example1: Write any 3 equivalent ratios for 4 : 7
Solution: Ratio 4 : 7 in fractional form is
Multiply that fraction’s numerator and denominator with the same number like 2,3 and 4
X 2
Equivalent fraction of
4 and 7 are multiplied by common number 2
X 2
X 3
4 and 7 are multiplied by common number 3
Equivalent fraction of
X 3
X 4
Equivalent fraction of
4 and 7 are multiplied by common number 4
X 4
Therefore, Equivalent ratios are 8 : 14 , 12 : 21 , 16 : 28

4. Example2: Write any 3 equivalent ratios for 9 : 13
Solution: Ratio 9 : 13 in fractional form is
Multiply that fraction’s numerator and denominator with the same number like 2,3 and 4
X 2
9 and 13 are multiplied by common number 2
Equivalent fraction of
X 2
X 3
Equivalent fraction of
9 and 13 are multiplied by common number 3
X 3
X 4
9 and 13 are multiplied by common number 4
Equivalent fraction of
X 4
Therefore, Equivalent ratios are 18 : 26 , 27 : 39 , 36 : 52

5. 16 Ans 16 Example3: Find the missing number in 4 : 9 = □ : 36
Solution:
4 : 9 = □ : 36 in fractional form is
We know we can get equivalent fraction by multiplying numerator and denominator with the same number.
X 4 16
Numerator 4 is also multiplied by 4
Denominators 9 is multiplied by 4 to get 36
X 4
Ans 16

6. 72 Ans 72 Example4: Find the missing number in 5 : 8 = 45: □ Solution:
5 : 8 = 45: □ in fractional form is
We know we can get equivalent fraction by multiplying numerator and denominator with the same number.
X 9
Numerator 5 is multiplied by 9 to get 45 72
Denominators 8 is also multiplied by 9
X 9
Ans 72

7. Try these
1. The equivalent ratio of 7:8 is_______.
2. Find the missing ratio:
5:9 = 35: □
32:20 = □ : 5