How do you turn a fraction into a decimal

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Video How do you turn a fraction into a decimal

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 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.

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 / 41 3 / 4 = 4 / 4 + 3 / 41 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.

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