Mixed Number to Decimal Calculator
Convert mixed numbers or mixed fractions to decimal numbers. Mixed number to decimal calculator finds the decimal equivalent by converting a mixed number, fraction, integer or whole number to a decimal and shows the work.
How to Convert a Mixed Number to a Decimal
Follow these 2 steps to convert a mixed number to a decimal:
- Convert the fraction to a decimal: Divide the numerator by the denominator
- Add this decimal number to the whole number part of the mixed number
A mixed number is a whole number plus a fraction. To find the decimal form of a fraction just divide the numerator by the denominator using a calculator or long division. Then add the decimal number to the whole number.
Example: Convert the mixed number 7 1/4 to a decimal
- Convert the fraction to a decimal: Divide 1 by 4
1 ÷ 4 = 0.25
- Add 0.25 to the whole number 7:
7 + 0.25 = 7.25
Note that this solution works even if the fraction part of the mixed number is an improper fraction.
Example: Convert the mixed number 3 9/5 to a decimal
- Convert the fraction to a decimal: Divide 9 by 5
9 ÷ 5 = 1.8
- Add 1.8 to the whole number 3:
3 + 1.8 = 4.8
Secondary Method: Convert a Mixed Number to a Decimal by Fraction Addition
Alternatively you can convert a mixed number to a decimal by first converting the mixed number to two fractions, adding them and simplifying to a decimal.
Example: Convert the mixed number 5 2/3 to a decimal
- 5 2/3 = 5/1 + 2/3
- 5 2/3 = (5/1 * 3/3) + 2/3
- 5 2/3 = 15/3 + 2/3
- 5 2/3 = 17/3
- 5 2/3 = 5.667
A mixed number such as 7 1/4 can be converted to a decimal. It is implied that 7 1/4 is really 7 + 1/4 and that 7 = 7/1, therefore we are first adding the fraction 7/1 + 1/4. Since 4 is the denominator in the original fraction part we will use it as our common denominator. 7/1 * 4/4 = 28/4. Then, 28/4 + 1/4 = 29/4. 29/4 = 29 � 4 = 7.25.
You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division.
To convert a decimal to a fraction see the Decimal to Fraction Calculator.