Question

Explain how you can convert a decimal that terminates after three decimal places to a fraction.​

Answer 1

First, let's just pick an arbitrary number as an example 7.031.

the 1 is in the thousandth place, so we can represent this as
`7(31)/(1000)`.

This is so because determining what denominator of a decimal number is can be known through what non-zero digits is on the right-most side of the number.

Explanation:

Answer 2

The third digit after a decimal point is in the "thousandth" place.

Therefore, to convert a decimal that terminates after three decimal places to a fraction, simply write the digits (without leading zeros) as the numerator and 1000 as the denominator.

For example:

`12.345=(12345)/(1000)`

`0.932=(932)/(1000)`