Arithmetic Grade Six
Lesson Eighty-five: Converting Decimals to Fractions
Converting decimals to fractions is really just a
special case of reducing fractions. All decimals are is
fractions with denominators which are multiples of ten.
For instance, .4 is the same as 4/10, .27 is the same as
27/100, and .333 is the same as 333/1000. An easy way to
determine the denominator for the fraction is to count the
number of digits to the right of the decimal point in the
decimal value. This corresponds to the number of zeroes which
will be in your denominator. Also remember that .4 is pronounced
four-tenths, .27 is pronounced twenty-seven-hundredths, and .333
three-hundred-thirty-three-thousandths.
Once you understand the above information, the rest of the
problem is simply to reduce the fraction.
Here are a few examples:
| DECIMAL |
FRACTION |
REDUCED |
| .25 |
25/100 |
1/4 |
| .3 |
3/10 |
3/10 |
| .66 |
66/100 |
33/50 |
| .8 |
8/10 |
4/5 |
| .15 |
15/100 |
3/20 |
| .175 |
175/1000 |
7/40 |
Click here to do the next set of problems.