How to Convert Fractions to Decimals
Converting a fraction to a decimal is a simple process of division. A fraction represents a part of a whole, and the fraction bar itself acts as a division symbol.
Identify the numbers
The top number is the numerator, and the bottom number is the denominator.
Perform division
Divide the numerator by the denominator using a calculator or long division.
Decimal = Numerator ÷ Denominator Specialized Conversions
If you are working with mixed numbers or inch measurements, use our specialized tools for even faster results.
Frequently Asked Questions
What is a mixed fraction?
A mixed fraction (or mixed number) is a number that combines a whole number and a proper fraction. For example, 2 1/2 is a mixed fraction consisting of the whole number 2 and the fraction 1/2.
How do you convert a mixed fraction to a decimal?
To convert a mixed fraction to a decimal, convert the fractional part to a decimal by dividing the numerator by the denominator, then add the result to the whole number. For 1 1/4, divide 1 by 4 (0.25) and add it to 1 to get 1.25.
What is 1 1/2 as a decimal?
1 1/2 as a decimal is 1.5. This is found by converting 1/2 to 0.5 and adding it to the whole number 1.
What is 2 3/4 as a decimal?
2 3/4 as a decimal is 2.75. The fraction 3/4 is equivalent to 0.75, which when added to 2 gives 2.75.
What is 3 1/3 as a decimal?
3 1/3 as a decimal is approximately 3.3333... it is a mixed number with a repeating decimal part.
Is a mixed number the same as an improper fraction?
A mixed number and an improper fraction represent the same value but in different formats. For example, the mixed number 1 1/2 is equal to the improper fraction 3/2.
How do you convert a mixed number to an improper fraction first?
Multiply the whole number by the denominator of the fraction and add the numerator to get the new numerator, then keep the original denominator. For 2 1/3, (2 x 3) + 1 = 7, so the improper fraction is 7/3.
What is 5 1/4 as a decimal?
5 1/4 as a decimal is exactly 5.25. You add the whole number 5 to the decimal equivalent of 1/4, which is 0.25.