Mixed Fractions

Mixed Fraction is also known as Mixed Number

A Mixed Fraction is a whole number and a proper fraction combined.

Examples
Mixed Fraction

Each example is made up of a whole number and a proper fraction together. That is why it is called a mixed fraction or mixed number.

3 Types of Fractions

There are 3 types of fraction:

Fraction typeConditionExample
Proper FractionTop Number < Bottom NumberProper Fraction Examples
Improper FractionTop Number > Bottom NumberImproper Fraction Examples
Mix Fractiona whole number + a proper fractionMixed Fraction Examples

Converting Mixed Fractions to Improper Fractions

These are some steps to convert a mixed fraction to an improper fraction:

  1. Multiply the whole number part by the bottom number of fraction part.
  2. Add that to the top number of fraction part.
  3. Then write the result as top number of the fraction.

Examples

Mix FractionStep 1Step 2Improper Fraction
Convert Mixed to Improper Fraction 15 × 1 = 55 + 4 = 9Convert Mixed to Improper Fraction 1b
Convert Mixed to Improper Fraction 26 × 2 = 1212 + 5 = 17Convert Mixed to Improper Fraction 2b
Convert Mixed to Improper Fraction 37 × 3 = 2121 + 6 = 27Convert Mixed to Improper Fraction 3b

Converting Improper Fractions to Mixed Fractions

These are some steps to convert an improper fraction to a mixed fraction:

  1. Divide the top number by the bottom number.
  2. Write down whole number answer
  3. Write down any remainder (R) above the bottom number of fraction.

Examples

Improper FractionStep 1Step 2Step 3Mix Fraction
Convert Mixed to Improper Fraction 3b27 ÷ 7 = 3 R 63Convert Mixed to Improper Fraction 1cConvert Mixed to Improper Fraction 3
Convert Mixed to Improper Fraction 2b17 ÷ 6 = 2 R 52Convert Mixed to Improper Fraction 2cConvert Mixed to Improper Fraction 2
Convert Mixed to Improper Fraction 1b9 ÷ 5 = 1 R 41Convert Mixed to Improper Fraction 3cConvert Mixed to Improper Fraction 1

Learn More

Improper Fractions

Adding Fractions

Fractional Exponents

Dividing Fractions By Whole Numbers

Definitions Index

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