Converting Fractions to Decimals

To convert a fraction to a decimal, just divide the numerator by the denominator.

Example 1:

Write 3/15 as a decimal.

Since 15 is larger than 3, in order to divide, we must add a decimal point and some zeroes after the 3.  We may not know how many zeroes to add but it doesn’t matter.  If we add to many we can erase the extras; if we don’t add enough, we can add more.

Long Division showing 3/15 = 0.2

Sometimes, you may get a repeating decimal.

Example 2:

Write 5/6 as a decimal.

Long Division showing 5/6 = 0.8333...

So, 5/6 = 0.8333....