Fraction to Decimal Calculator

Convert a fraction to a decimal by entering your fraction below. Keep reading to see four different ways to turn a fraction into a decimal without a calculator below.

How to Convert a Fraction to Decimal

A number can be expressed as a fraction, decimal, or percentage, and sometimes it’s necessary to convert between the different forms to represent a number differently.

There are several methods to convert a fraction to a decimal; we’ll cover each of them below.

Method 1: Convert a Fraction to Decimal Using a Calculator

The simplest method to transform a fraction number to a decimal value is to simply divide the numerator by the denominator to get the decimal value. The numerator is the top number, and the denominator is the bottom number.

So, the fraction to decimal formula is:

numerator / denominator = numerator ÷ denominator

You might also be interested in our fraction to percent calculator for similar conversions.

Method 2: Convert a Fraction to Decimal Using Long Division

Long division offers another way to convert to decimal form. This is done by identifying the dividend and the divisor, then using those values in long division.

First, find the dividend and the divisor. The fraction’s numerator will be the dividend, and the denominator will be the divisor.

Next, place the dividend and divisor in long division form. You will need to add a decimal point and as many zeros as needed if the dividend is smaller than the divisor.

Finally, solve the long division problem to complete the conversion from fraction to decimal.

Here’s a tip: use a long division calculator to solve this problem and see each step.

Method 3: Convert a Fraction to Decimal by Simplifying

An alternate method to convert a fraction to a decimal number is to express the numerator as a fraction over 100.

When a fraction is out of 100, it is much easier to convert the value into a decimal because decimals are based on a system of powers of 10. This requires a few steps.

First, multiply the denominator to get to 100. To do this, you can divide 100 by the denominator to obtain the factor and then multiply both the numerator and denominator by that factor.

Next, you have to move the decimal point two places to the left for both the numerator and denominator to simplify the fraction. This will create a fraction out of 1. Since any fraction out of 1 is equal to the decimal value, the numerator is your final result.

Method 4: Use a Conversion Chart

Another way to convert fractions to decimals is to consult a conversion chart, such as the one below, which shows the decimal values of a few common fractions.

Fraction to Decimal Conversion Chart

Fraction to decimal conversion chart showing common fractions and their decimal equivalents. The chart shows fractions with denominators up to 20.

Fraction	Decimal
1/2	0.5
1/3	0.3333
2/3	0.6667
1/4	0.25
3/4	0.75
1/5	0.2
2/5	0.4
3/5	0.6
4/5	0.8
1/6	0.1667
5/6	0.8333
1/7	0.1429
2/7	0.2857
3/7	0.4286
4/7	0.5714
5/7	0.7143
6/7	0.8571
1/8	0.125
3/8	0.375
5/8	0.625
7/8	0.875
1/9	0.1111
2/9	0.2222
4/9	0.4444
5/9	0.5556
7/9	0.7778
8/9	0.8889
1/10	0.1
3/10	0.3
7/10	0.7
9/10	0.9
1/11	0.0909
2/11	0.1818
3/11	0.2727
4/11	0.3636
5/11	0.4545
6/11	0.5455
7/11	0.6364
8/11	0.7273
9/11	0.8182
10/11	0.9091
1/12	0.0833
5/12	0.4167
7/12	0.5833
11/12	0.9167
1/13	0.0769
2/13	0.1538
3/13	0.2308
4/13	0.3077
5/13	0.3846
6/13	0.4615
7/13	0.5385
8/13	0.6154
9/13	0.6923
10/13	0.7692
11/13	0.8462
12/13	0.9231
1/14	0.0714
3/14	0.2143
5/14	0.3571
9/14	0.6429
11/14	0.7857
13/14	0.9286
1/15	0.0667
2/15	0.1333
4/15	0.2667
7/15	0.4667
8/15	0.5333
11/15	0.7333
13/15	0.8667
14/15	0.9333
1/16	0.0625
3/16	0.1875
5/16	0.3125
7/16	0.4375
9/16	0.5625
11/16	0.6875
13/16	0.8125
15/16	0.9375
1/17	0.0588
2/17	0.1176
3/17	0.1765
4/17	0.2353
5/17	0.2941
6/17	0.3529
7/17	0.4118
8/17	0.4706
9/17	0.5294
10/17	0.5882
11/17	0.6471
12/17	0.7059
13/17	0.7647
14/17	0.8235
15/17	0.8824
16/17	0.9412
1/18	0.0556
5/18	0.2778
7/18	0.3889
11/18	0.6111
13/18	0.7222
17/18	0.9444
1/19	0.0526
2/19	0.1053
3/19	0.1579
4/19	0.2105
5/19	0.2632
6/19	0.3158
7/19	0.3684
8/19	0.4211
9/19	0.4737
10/19	0.5263
11/19	0.5789
12/19	0.6316
13/19	0.6842
14/19	0.7368
15/19	0.7895
16/19	0.8421
17/19	0.8947
18/19	0.9474
1/20	0.05
3/20	0.15
7/20	0.35
9/20	0.45
11/20	0.55
13/20	0.65
17/20	0.85
19/20	0.95

[ see more rows ]

See our inch fraction calculator for a comprehensive inch fraction to decimal chart.

You’ll probably also find our equivalent fraction chart useful.

How to Convert Mixed Fractions to Decimal

All four of these methods work for proper and improper fractions, but they don’t support mixed fractions. Note that a mixed fraction is a whole number in front of a fraction, like this:

1 3 / 4

So, when working with mixed numbers, the first step is to convert them to an improper fraction. You can convert a mixed fraction to an improper fraction easily.

First, multiply the whole number by the fraction denominator and create a new fraction with the result as the numerator over the existing denominator. Then, add the fractions together.

1 3 / 4 = 1 × 4 / 4 + 3 / 4
1 3 / 4 = 4 / 4 + 3 / 4
1 3 / 4 = 7 / 4

Then, after the mixed number is in improper fraction form, you can convert it to a decimal number using any of the methods above.

More Fraction to Decimal Conversions

See the steps to convert these common fractions to decimal form.

Frequently Asked Questions

Why do you divide a fraction to make it a decimal?

When do you need to convert fractions to decimals?

Can every fraction be converted to a decimal?