Fraction To Decimal Calculator
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How to convert fraction to decimal
Method #1
Expand the denominator to be a power of 10.
Example #1
35 is expanded to 610 by multiplying the numerator by 2 and the denominator by 2:
| 3 | = | 3×2 | = | 6 | = | 0.6 |
| 5 | 5×2 | 10 |
Example #2
34 is expanded to 75100 by multiplying the numerator by 25 and the denominator by 25:
| 3 | = | 3×25 | = | 75 | = | 0.75 |
| 4 | 4×25 | 100 |
Example #3
58 is expanded to 6251000 by multiplying the numerator by 125 and the denominator by 125:
| 5 | = | 5×125 | = | 625 | = | 0.625 |
| 8 | 8×125 | 1000 |
Method #2
- Use calculator to divide the fraction's numerator by the denominator.
- For mixed numbers add the integer.
Example #1
25 = 2÷5 = 0.4Example #2
125 = 1+2÷5 = 1.4Method #3
Use long division to divide the fraction's numerator by the fraction's denominator.
Example
Calculate 3/4 by long division of 3 divided by 4:
| 0.75 | |
| 4 | 3 |
| 0 | |
| 30 | |
| 28 | |
| 20 | |
| 20 | |
| 0 |
Fraction to decimal conversion table
| 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 |
Decimal to fraction conversion ►
See also
- How to convert fraction to decimal
- Decimal to fraction conversion
- 1/2 to decimal
- 1/3 to decimal
- 1/4 to decimal
- 1/8 to decimal
- 1/16 to decimal
- 1/32 to decimal
- Fraction to percent conversion
- Percent to decimal conversion
- Fractions calculator
- Simplifying fractions calculator
- Adding fractions calculator
- Subtracting fractions calculator
- Multiplying fractions calculator
- Dividing fractions calculator
- GCD calculator
- Fraction conversion
- Number conversion
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