# Decimal to Fraction Calculatorfor Converting Decimals to Fractions

The Decimal to Fraction Calculator on this page will convert decimals to fractions, simplify the results, and show its work.

This free online convert decimals to fractions calculator will convert a decimal number into a fraction, and then reduce the resulting fraction into simplest form -- including converting improper fractions to mixed numbers.

Plus, unlike other online conversion calculators, this calculator will show its work and give a detailed step-by-step explanation as to how it arrived at the answer.

Also, be sure to check out my other online fraction calculators for addition & subtraction, multiplication, division, and comparison.

### How to Convert Decimal to Fraction?

There are several different methods for converting decimals into fractions -- depending on whether or not the decimal number has digits to the left of the decimal point. I'll explain each scenario separately.

#### No Digits to the Left of the Decimal Point

If there are no digits to the left of the decimal point, you can simply restate the decimal number as a fraction. This is done by placing the number to the right of the decimal point as the numerator, and the denominator becomes a 1 followed by the number of zeros equal to the number of digits in the numerator, like this:

Restate 0.625 as a Fraction

 0.625 = 625 1000

Simply fraction if possible:

 625 = 625 ÷ 125 = 5 1000 1000 ÷ 125 8

#### With or Without Digits to Left of Decimal Point

If there are one or more digits to the left of the decimal point (value greater than zero), the easiest way to convert the decimal to a fraction is to simply put the decimal number over the number one, and multiply the top and bottom of the fraction by a number that will cause the numerator to become an integer, like this:

Decimal Over 1 & Multiply Top & Bottom

 3.625 1

Multiply top and bottom to get integer:

 3.625 * 1000 = 3625 1 * 1000 1000

Simply fraction if possible:

 3625 = 3625 ÷ 125 = 28 = 3 5 1000 1000 ÷ 125 8 8

Note that the number you multiply the top and bottom by is always a 1 with the same number of zeros added as the number of top digits. So if the top has 2 digits you would multiply the top and bottom by 100. If the top has 4 digits you would multiply the top and bottom by 10000, and so on.

#### With Digits to Left of Decimal Point

If there are one or more digits to the left of the decimal point and their value is greater than zero, then the decimal can be restated as a mixed number, and in turn, that mixed number can be converted to a fraction, like this:

Restate Decimal as Mixed Number, Then as Fraction

 3.625 = 3 625 1000

Convert mixed number to fraction:

 3 625 = 1000 * 3 + 625 = 3625 1000 1000 1000

Simply fraction if possible:

 3625 = 3625 ÷ 125 = 28 = 3 5 1000 1000 ÷ 125 8 8

With that, let's use the Decimal to Fraction Calculator for converting decimals into fractions and then simplifying the result.

Decimal to Fraction Calculator

Instructions: Enter a non-repeating decimal number that you would like to convert into a fraction, and then click the "Convert Decimal to Fraction" button.

Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Decimal to Fraction Calculator.

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Non-repeating decimal number (#):
Equivalent fraction:
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### Decimal to Fraction Calculator Glossary of Terms

Numerator: The value located in the top portion of a fraction.

Denominator: The value located in the bottom portion of a fraction.

Mixed number: The combination of a whole number and a fraction, such as 3 1/8. A mixed number can be converted into an improper fraction by multiplying the denominator by the whole number and adding the numerator to that product. That result then becomes the new numerator while the denominator remains the same. So 3 1/8 would convert to 25/8 (8 * 3 + 1 / 8).

Improper fraction: A fraction wherein the numerator is greater than the denominator, such as 25/8. An improper fraction can be converted to a mixed number. The whole number becomes the number of times the denominator goes into the numerator with the remainder becoming the new numerator. The denominator remains unchanged. So 25/8 would convert to the mixed number 3 1/8 (25 / 8 = 3 with a remainder of 1).

Non-repeating decimal number: Enter the non-repeating decimal number you would like to convert into a fraction.

Equivalent fraction: This is the fraction equivalent to the entered decimal number. Note that after clicking the Convert Decimal to Fraction button the decimal to fraction calculator will expand to display a detailed explanation of how it arrived at the result.

Decimal to Fraction Calculator

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