Improper fraction to mixed number
Fraction Solver, Improper to Mixed Fraction

Converts improper to mixed number \[\frac{n}{d}=w\left(\frac{r}{d}\right)\]

Improper Fraction to Mixed Fraction

Improper fraction to mixed number calculator converts an improper fraction (fraction whose numerator is greater than the denominator) to mixed number (number containing a whole number, numerator and denominator)

How to Use The Improper Fraction Calculator

Convert 5/4 to an mixed number fraction

step 1

Enter number “5” into the box marked “numerator”

step 2

Enter number “4” into the box marked “denominator”


Hit the check mark to convert the improper fraction to mixed number

What is an Improper Fraction?

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). It represents a value that is greater than or equal to 1. For example, 5/4, 7/3, and 11/2 are all examples of improper fractions.

Improper Fraction to Mixed Number Formula?

improper fraction to mixed number formula
Where w = whole number, n = number on top of the fraction (numerator), d = number at the bottom (denominator), r = remainder from the division of n and d

Steps to Convert  Improper Fractions to Mixed Number

To convert an improper fraction to a mixed number, follow these steps:

  1. Divide the numerator by the denominator.

  2. Write down the whole number part (the quotient).

  3. Write down the remainder as the new numerator.

  4. The original denominator remains the same.

Worked Example of Improper to Mixed Number Fractions

For example, let’s convert the improper fraction 7/3 to a mixed number:

  • 1. Divide 7 by 3: 7 ÷ 3 = 2 remainder 1.

  • 2. The whole number part is 2.

  • 3. The remainder, 1, becomes the new numerator.

  • 4. The original denominator, 3, remains the same.

So, 7/3 can be written as the mixed number 2 1/3.

More examples

  • 9/4 = 9 ÷ 4 = 2 remainder 1. So, 9/4 = 2 1/4.

  • 11/5 = 11 ÷ 5 = 2 remainder 1. So, 11/5 = 2 1/5.

  • 17/6 = 17 ÷ 6 = 2 remainder 5. So, 17/6 = 2 5/6.

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