Solve 5 2/15 a =3 2/25

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the equation:

5 2/15 a = 3 2/25

Solve for a.

Solution:

In order to solve for a, we must convert first the mixed number to decimals. To do so divide the fraction part and add the quotient to the whole number.

5 2/15
= 2/15
=0.1333..
= 5 + 0.1333..
= 5.13333..

3 2/25
= 2/25
= 0.08
= 3 + 0.08
= 3.08

Equate the values back in the equation. 

5.1333… a = 3.08

Divide both sides by 5.1333.. in order to determine the value of a.

5.1333… a/5.1333.. = 3.08/5.1333…

a =0.6

Final answer:

a =0.6