How do you solve \frac { 1 } { 4 } + \frac { 1 } { 5 } = \frac { 1 } { t }?

1 Answer
Jul 20, 2018

Multiply all three terms by 4 xx 5 xx t to remove the denominators and then solve by working backwards.

Explanation:

( 4 xx 5 xx t ) xx 1/4 + ( 4 xx 5 xx t) xx 1/5 = (4 xx 5 xx t) xx 1/t

This gives

5 xx t + 4 xx t = 4xx 5

Combining like terms gives

9t = 20

Divide both sides by 9

9t/9 = 20/9

t = 20/9 = 2 2/9