# Fraction to Decimal Calculatorfor Converting Fractions to Decimals

The Fraction to Decimal Calculator on this page will reduce fractions to simplest form, convert them into decimals, and show its work.

This free online conversion calculator will reduce fractions into simplest form and then convert the simplified fraction into a decimal number.

Plus, unlike other online conversion calculators, this calculator will show its work -- including the fraction reduction it performed, as well as the long division you would use for converting fractions into decimals manually.

If you would like to use a calculator for converting decimals into fractions, please visit the convert decimals to fractions calculator.

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

### Steps for Converting Fractions to Decimals

If you are using a hand-held calculator, you simply divide the top number by the bottom number to get the decimal equivalent.

On the other hand, if you are doing the conversion manually on a worksheet, you can save time by first reducing the fraction into simplest form.

For example, suppose you would like to convert the fraction 40/25 into a decimal. In that case, the first step would be to reduce the fraction to simplest form, like this:

Divide Top and Bottom by Greatest Common Factor

 40 = 40 ÷ 5 = 8 25 25 ÷ 5 5

Once you have reduced the fraction, the next step in manually converting the fraction to a decimal is to use long division, like this:

Use Long Division to Convert Fraction to Decimal

 1 6 5 8 0 5 goes into 8 1 time --> 5 8 minus 5 leaves a remainder of 3 & add a zero --> 3 0 5 goes into 30 6 times --> 3 0 30 minus 30 leaves no remainder --> 0

Continue adding zeros until remainder is zero, or until the desired number of decimal places is reached. Note that the red vertical line indicates where the decimal point will be inserted.

So after simplifying 40/25 to 8/5, and then using long division on the simplified fraction, we can see that the fraction 40/25 converts to the decimal 1.6, with no repeating decimals.

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

Fraction to Decimal Calculator

Instructions: Enter the numerator (top) and the denominator (bottom) of the fraction you would like the calculator to convert to a decimal, and then click the "Convert Fraction to Decimal" 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 Fraction to Decimal Calculator.

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Numerator (#):
Denominator (#):
Fraction in simplest form:
Decimal equivalent of reduced fraction:
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### Fraction to Decimal Calculator Glossary of Terms

Greatest Common Factor (GCF): The largest number that will go into two or more different numbers evenly. Finding the GCF is most often used for simplifying fractions. For example, to reduce the fraction 1000/20000 into simplest form, you would divide the top and bottom of the fraction by their greatest common factor, which is 1000 (1000 goes into both 1000 and 20000 evenly). The result would be 1/20 -- which is much easier to work with than 1000/2000.

Numerator: Enter the top number of the fraction to be converted into a decimal.

Denominator: Enter the bottom number of the fraction to be converted into a decimal.

Fraction in simplest form: This is the entered fraction after reducing the fraction into simplest form. Note that the fraction to decimal calculator will show its reduction work in a space below the calculator. If the numerator and denominator have no common factors other than 1, this field will simply display your original entry.

Decimal equivalent of reduced fraction: This is the decimal equivalent of the entered fraction after it was reduced into simplest form. The fraction to decimal calculator will display the long division you would use if you were to use the manual method of converting fractions into decimals. Note that if the result is a long decimal number and/or has repeating elements, the result can only be considered to be a close estimation.

Fraction to Decimal Calculator

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