# How do you solve 7/9=a/5?

Jan 30, 2017

The answer as an improper fraction is $\frac{35}{9}$.
The answer as a mixed fraction is $4 \frac{3}{9}$.
The answer using a calculator is $3.888888888889$.

#### Explanation:

Solve $\frac{7}{9} = \frac{a}{5}$

First cross multiply.

$7 \times 5 = 9 \times a$

Simplify.

$35 = 9 a$

Divide both sides by $9$.

$\frac{35}{9} = a$

Switch sides.
This is not an essential step, but a lot of teachers like the variable on the left-hand side.

$a = \frac{35}{9}$

This fraction cannot be reduced.

However, it can be written as a mixed fraction.

To convert the improper fraction to a mixed fraction, divide the numerator by the denominator to get the whole number, and write the remainder as the numerator.

$35 \div 9 = 32$ remainder $3$

$\frac{35}{9} = 4 \frac{3}{9}$

You could also use a calculator.

$\frac{35}{9} = 3.888888888889$