Write the decimal as a fraction
Count the decimal places and use the matching power of 10 as the denominator. For example, 2.75 becomes 275/100.
Decimal to Mixed Number Calculator
Convert a decimal with an absolute value greater than 1 into an exact improper fraction and mixed number. Enter a value such as 2.75 or -3.5 to get both forms together with every simplification step.
Enter a Decimal with an Absolute Value Greater Than 1
Get the exact improper fraction and mixed-number result.
Enter a decimal with an absolute value greater than 1 to see the improper fraction, mixed number, and calculation steps.
Need to convert a value from -1 through 1? Use the decimal to fraction calculator instead.
How to Convert a Decimal to a Mixed Number
Simplify the improper fraction
Divide the numerator and denominator by their greatest common divisor. Dividing 275/100 by 25 gives 11/4.
Separate the whole number
Divide 11 by 4. The quotient is 2 and the remainder is 3, so 11/4 becomes the mixed number 2 3/4.
Improper Fractions and Mixed Numbers
An improper fraction has a numerator that is greater than or equal to its denominator. A mixed number writes the same value as a whole number plus a proper fraction. Neither form is more accurate: 11/4, 2 3/4, and 2.75 are exactly equivalent.
Keep the improper fraction when it is useful for multiplication or algebra. Use the mixed number when the whole-number part makes the result easier to read in measurements, recipes, or everyday work.
Decimal to Mixed Number Examples
2.75 = 2 3/4
2.75 = 275/100 = 11/4 = 2 3/4.
1.25 = 1 1/4
1.25 = 125/100 = 5/4 = 1 1/4.
-3.5 = -3 1/2
-3.5 = -35/10 = -7/2 = -3 1/2.
Decimal to Mixed Number FAQ
How do you convert a decimal to a mixed number?
Write the decimal as a fraction over a power of 10, simplify it, and divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the numerator of the proper fraction.
What is 2.75 as a mixed number?
2.75 as a mixed number is 2 3/4. Write 2.75 as 275/100, simplify it to 11/4, then divide 11 by 4 to get 2 with a remainder of 3.
Is an improper fraction the same value as a mixed number?
Yes. An improper fraction and its mixed-number form represent the same value. For example, 11/4 and 2 3/4 are equivalent because both equal 2.75.
Can a negative decimal be written as a mixed number?
Yes. Keep the negative sign in front of the complete result. For example, -3.5 equals -7/2 and can be written as -3 1/2.
For common equivalents, visit the decimal to fraction chart.