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Improper Fractions to Mixed Numbers Worksheet

Divide the numerator by the denominator to write each improper fraction as a mixed number.

Free printable

Improper Fractions to Mixed Numbers

15 questions, one page, US Letter. Print it and do it on paper.

On the sheet: Write each improper fraction as a mixed number. Divide the numerator by the denominator. The whole-number part of the answer is the whole number. The remainder is the new numerator, over the same denominator.

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About this worksheet

An improper fraction has a numerator bigger than its denominator, so it is more than one whole: 17/5 is seventeen fifths. A mixed number says the same amount as wholes and a part: 3 2/5.

To convert, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator, over the same denominator.

A worked example

23/4 = ?

  1. Divide the numerator by the denominator: 23 ÷ 4 = 5 r 3.
  2. The quotient, 5, is the whole number.
  3. The remainder, 3, goes over the same denominator: 3/4.

Answer: 23/4 = 5 3/4

The common mistake

What it looks like: Swapping the quotient and the remainder: 23/4 = 3 5/4.

Why it happens: Division gives two numbers, and it's easy to put each in the other's place.

How to fix it: The quotient counts whole groups of 4, so it is the whole number. The remainder is what's left, so it goes on top. The new numerator is always smaller than the denominator.

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