# How do you solve \frac { 7} { 10} t = 28?

Dec 9, 2016

$t = 40$

#### Explanation:

The simplest way for me, is to get a common denominator first. So since $10$ is the denominator of the fraction $\frac{7}{10}$ we will simply do:

$28 \cdot 10$$/ 1 \cdot 10 = \frac{280}{10}$

Now cross multiply:

$\frac{7}{10} t = \frac{280}{10}$

70t=2800=?

Divide to get the variable alone:

$\frac{70}{70} t = \frac{2800}{70}$

Answer: $t = 40$

Dec 9, 2016

Move all of the constants to one side of the equation with algebraic operations.

#### Explanation:

1) Perform the indicated multiplication on the left side to get all of the factors.
$\left(\frac{7}{10}\right) \cdot t = 28$
2) Divide $\left(\frac{7}{10}\right)$ from both sides. (all operations must be done on both sides to maintain the equality). Or, in sequence, Divide 7 from both sides, then multiply 10 on both sides.

$t = \left(\frac{10}{7}\right) \cdot 28$
3) Carry out the indicated operations to simplify the terms.
t = (10/7)*28 ; t = (280/7) ; t = 40