The Fraction to Decimal Transition Tool. Embark on a seamless journey from intricate ratios to simplified decimals.
Expand the denominator to be a power of 10.
is expanded to
by multiplying the numerator by 2 and the denominator by 2:
| 3 | = | 3×2 | = | 6 | = | 0.6 |
| 5 | 5×2 | 10 |
is expanded to
by multiplying the numerator by 25 and the denominator by 25:
| 3 | = | 3×25 | = | 75 | = | 0.75 |
| 4 | 4×25 | 100 |
is expanded to
by multiplying the numerator by 125 and the denominator by 125:
| 5 | = | 5×125 | = | 625 | = | 0.625 |
| 8 | 8×125 | 1000 |
Use long division to divide the fraction's numerator by the fraction's denominator.
Calculate 3/4 by long division of 3 divided by 4:
| 0.75 | |
| 4 | 3 |
| 0 | |
| 30 | |
| 28 | |
| 20 | |
| 20 | |
| 0 |
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.33333333 |
| 2/3 | 0.66666667 |
| 1/4 | 0.25 |
| 2/4 | 0.5 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.16666667 |
| 2/6 | 0.33333333 |
| 3/6 | 0.5 |
| 4/6 | 0.66666667 |
| 5/6 | 0.83333333 |
| 1/7 | 0.14285714 |
| 2/7 | 0.28571429 |
| 3/7 | 0.42857143 |
| 4/7 | 0.57142858 |
| 5/7 | 0.71428571 |
| 6/7 | 0.85714286 |
| 1/8 | 0.125 |
| 2/8 | 0.25 |
| 3/8 | 0.375 |
| 4/8 | 0.5 |
| 5/8 | 0.625 |
| 6/8 | 0.75 |
| 7/8 | 0.875 |
| 1/9 | 0.11111111 |
| 2/9 | 0.22222222 |
| 3/9 | 0.33333333 |
| 4/9 | 0.44444444 |
| 5/9 | 0.55555556 |
| 6/9 | 0.66666667 |
| 7/9 | 0.77777778 |
| 8/9 | 0.88888889 |
| 1/10 | 0.1 |
| 2/10 | 0.2 |
| 3/10 | 0.3 |
| 4/10 | 0.4 |
| 5/10 | 0.5 |
| 6/10 | 0.6 |
| 7/10 | 0.7 |
| 8/10 | 0.8 |
| 9/10 | 0.9 |
| 1/11 | 0.09090909 |
| 2/11 | 0.18181818 |
| 3/11 | 0.27272727 |
| 4/11 | 0.36363636 |
| 5/11 | 0.45454545 |
| 6/11 | 0.54545454 |
| 7/11 | 0.63636363 |
| 8/11 | 0.72727272 |
| 9/11 | 0.81818181 |
| 10/11 | 0.90909091 |
The converter takes a fraction as input, divides the numerator by the denominator, and provides the resultant value in decimal format.