Question

How do you multiply repeating decimals?

Answer 1

Round them or use fractions. See explanation.

Explanation:

There are really only two ways to multiply repeating decimals: you can round the decimal or use a fractional value of the decimal.

For example:

To multiply `0.bar6` by `0.bar1`, you can use one of two methods:

Round them:

`0.666666666` will round to `0.667`, if we use three decimal places, and `0.111111111` will round to `0.111`.

Multiplying `0.667*0.111=0.074`

Use fractions:

`0.bar6=2/3`, and `0.bar1=1/9`

Multiplying `2/3*1/9=2/27`, which, converted to a decimal, is also `0.074`.