Directions: Solve the word problem. Write your answer in ratio, fraction, decimal and percent. Show your answer using models.

A class of sixty (60) students is comprised of thirty-six (36) females and twenty-four (24) males. We can see that thirty-six out of sixty (36/60) students are females and twenty-four out of sixty (24/60) are males. The two fractions can be read 60 as thirty-six sixtieths and twenty-four sixtieths. Represent this part-whole concept in a model with ratio, percent, decimal, and fraction.

3 answers

Females / Males = 36 / 24 = 12 ∙ 3 / 12 ∙ 2 = 3 / 2

Females:

36 / 60

36 / 60 = ( 36 ∙ 5 / 3 ) / ( 60 ∙ 5 / 3 ) =

( 180 / 3 ) / ( 300 / 3 ) = 60 / 100 = 60% = 0.6

Males:

24 / 60

24 / 60 = ( 24 ∙ 5 / 3 ) / ( 60 ∙ 5 / 3 ) =

( 120 / 3 ) / ( 300 / 3 ) = 40 / 100 = 40% = 0.4
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