The denominator of a fraction is 7 less than 3 times the numerator. The fraction is equal to 0.40.

Question

Find the fraction and explain how you got your answer.

Answer 1

ANSWER: The fraction is 2/5

 

Let's call the numerator x. Then the is denominator is 3x-7 (7 less than 3 times the numerator). Now set up the equation and solve for x:

 

x/(3x-7)=0.40

 

x=0.40(3x-7)

x=1.2x-2.8

2.8=.2x

14=x

 

Therefore the numerator is 14 and the denominator is 3(14)-7=35

 

The fraction is 14/35 which reduces to 2/5