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

Example: Find 1/8 as a Decimal

Let’s convert the fraction 1/8 to a decimal using the division method.

1 / 8 = 1 ÷ 8 = 0.125

Thus, the decimal value of 1/8 is 0.125

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.

first step in converting a fraction to decimal is to find the dividend and 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.

Second step to convert a fraction to decimal is to prepare for long division by setting up the problem

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

Third step to convert a fraction to decimal is to solve the long division problem

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 simplify it by putting the numerator over 1. This requires a few steps.

First, multiply the denominator to get to 100. To do this, try dividing 100 by the denominator to find the multiple, then multiply both the numerator and denominator by the multiple.

The next step is to move the decimal place of the top and bottom of the fraction to the left two places to simplify. And, since the numerator of any fraction with a denominator of 1 is equal to the decimal value, the numerator is the result.

Example: 1/16 to Decimal

For example, we can convert the fraction 1/16 to a decimal value using this method.

Start by finding the multiple needed to multiply the denominator by to get 100.

100 = 16 × 6.25

That means that the multiple is 6.25.

Now, multiply the numerator by the multiple (6.25).

1 × 6.25 = 6.25

Thus, the fraction 1/16 can also be represented as 6.25/100.

1 / 16 = 6.25 / 100

Move the decimal place of the top and bottom left two places to simplify.

6.25 / 100 = 0.0625 / 1

The numerator is the resulting decimal.

0.0625 / 1 = 0.0625

So, the decimal value of 1/16 is 0.0625.

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 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.