Equivalent ratios

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.

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

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

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

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

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