Peyton recorded her height twice a year. She grew 5 1/4 inches in 3 1/2 years. What was Peyton’s average growth rate per year?

Height in which Peyton grew in 3 ½ years = 5 ¼ inches

Height Peyton grows each year =

= 5 ¼ ÷ 3 ½

= 21/4 ÷ 7/2

= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )

= 42/28

Let us simplify this by dividing the numerator and denominator by 2 .

= 42 ÷ 2 / 28 ÷ 2

= 21/14

= 1 7/14 inches

Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .

= Both 7 and 14 are divisible by 2 .

So , 1 whole 7 ÷ 2 / 14 ÷ 2

= 1 whole 1/2

= 1 1/2

Therefore , Peyton's average growth rate per year was 1 1/2 inches .

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