Question 48588
37.5% as a common fraction without using a calculator:


Concept: There is a relationship between percentages, fractions, and decimals that help with conversions.

.25 = 25% = 1/4  ( think in terms of money: a quarter dollar is $.25, 25 cents expressed as a dollar = 25 cents/ 100 cents = 25% or simplifies to 1/4 as a common fraction)

.5 = 50% = 1/2
.75= 75% = 3/4

Solution: 

37.5% = 37.5 parts out of a 100
      = 37.5/100     
      = 37.5 x 10/ 100 x 10   ( Multiply the numerator and denominator by 10)
      = 375/1000
      = 75 / 200 ( simplify divide numerator and denominator by 5)
      = 15 / 40   
      = 3  / 8