How do you solve 1/4t-1/6=-4/9?

2 Answers
Jun 29, 2017

t = -20/18

Explanation:

First put the 1/6 on the other side so that t is on its own.

1/4 t = -4/9 + 1/6

Find a common denominator, 18, so that the two fractions can be added together.

1/4 t = (-8 + 3)/18 -> -5/18

t/4 = -5/18

18t = -20

t = -20/18

Jun 29, 2017

t=-10/9

Explanation:

First, bring the constants (a number on its own) to the right-hand side in order to isolate t. We end up with t on the left-hand side and the constants on the right-hand side. If we bring -1/6 over, we have to do the inverse operation. In this case, we do
addition like this:

t/4-1/6=-1/9
t/4=-1/9+1/6
t/4=-5/18

We can then cross multiply which is when we multiply the denominators and numerators that are diagonal to each other, like this:

t*18=-5*4
18t=-20

All we have to do is to divide each side by 18 to get t by itself.

(18t)/18=-20/18
t=-10/9

Hope this helps you, mate.