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4. there are 25 boys and 20 girls in a math class. a.) what is the rati…

Question

  1. there are 25 boys and 20 girls in a math class.

a.) what is the ratio (in fraction form) of girls to boys in that class?
b.) the reduced ratio (in fraction form) is
c.) what is the unit rate of girls to boys in that math class?
d.) what is the ratio (in fraction form) of boys to girls in that class?
e.) the reduced ratio (in fraction form) is
f.) what is the unit rate of boys to girls in that math class?

Explanation:

Response
Part a

Step1: Identify girls and boys count

Girls = 20, Boys = 25

Step2: Ratio of girls to boys

Ratio = $\frac{\text{Girls}}{\text{Boys}} = \frac{20}{25}$

Step1: Find GCD of 20 and 25

GCD(20,25) = 5

Step2: Divide numerator and denominator by GCD

$\frac{20\div5}{25\div5} = \frac{4}{5}$

Step1: Unit rate is ratio as decimal

Unit rate = $\frac{20}{25} = 0.8$

Answer:

$\frac{20}{25}$

Part b