Question

How do you convert 0.51 as a fraction?

Answer 1

`51/100`

Explanation:

Consider the following integers, all with decimals.

`36.7rarr` this is written as `36` and `7` tenths, or `36frac7(10`.

`8.13rarr` this is `8` and `13` hundredths, or `8frac13(100`.

`0.999rarr` this is `999` thousandths, or `999/1000`.

Depending on how many digits come to the right of the decimal point, there is a power of ten which serves as the denominator when the decimal is written in fraction form.

When there is/are...

• `1` digit after the point `rarr` denominator`=10`
• `2` digits after the point`rarr`denominator`=100`
• `3` digits after the point`rarr`denominator`=1000`
• `4` digits after the point`rarr`denominator`=10000`

Notice that the number of digits after the decimal point is equivalent to the number of zeros in the denominator of the fraction.

In your example, there are two digits after the decimal point, `5` and `1`. Therefore, the denominator will be `100`, leaving us with a fraction of `51/100`.