Fraction to decimal conversion calculator
Decimal to fraction converter ►
How to convert fraction to decimal
Method #1
Expand the denominator to be a power of 10.
Example #1
3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:
3 | = | 3×2 | = | 6 | = | 0.6 |
5 | 5×2 | 10 |
Example #2
3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:
3 | = | 3×25 | = | 75 | = | 0.75 |
4 | 4×25 | 100 |
Example #3
5/8 is expanded to 625/1000 by multiplying the numerator by 125 and 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
2/5 = 2÷5 = 0.4
Example #2
1 2/5 = 1+2÷5 = 1.4
Method #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
- 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