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

1 Answer
Meave60
Jan 30, 2017

The answer as an improper fraction is 35/9.
The answer as a mixed fraction is 4 3/9.
The answer using a calculator is 3.888888888889.

Explanation:

Solve 7/9=a/5

First cross multiply.

7xx5=9xxa

Simplify.

35=9a

Divide both sides by 9.

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=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-:9=32 remainder 3

35/9=4 3/9

You could also use a calculator.

35/9=3.888888888889

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