Improper Fractions

Definitions

There are 3 types of fractions

Fraction typeConditionExamples
Proper FractionNumerator < DenominatorProper Fraction
Improper FractionNumerator > DenominatorImproper Fraction
Mix FractionA whole number + proper fractionMix Fraction

So, An Improper Fraction is a fraction that has a top number larger than (or equal to) the bottom number.

Converting Improper Fractions to Mixed Fractions

How to convert an improper fraction to a mixed fraction ?

  1. Divide the numerator by the denominator.
  2. Write down whole number answer
  3. Write down any remainder (R) above the denominator.

Examples

Improper FractionStep 1Step 2Step 3Mix Fraction
Improper Fraction 14 ÷ 3 = 1 R 11Proper Fraction 1Mix Fraction 1
Improper Fraction 211 ÷ 4 = 2 R 32Proper Fraction 2Mix Fraction 2
Improper Fraction 319 ÷ 5 = 3 R 43Proper Fraction 3Mix Fraction 3

Converting Mixed Fractions to Improper Fractions

How to convert a mixed fraction to an improper fraction ?

  1. Multiply the whole number part by the denominator of fraction part.
  2. Add that to the numerator of fraction part.
  3. Then write the result on top of the denominator.

Examples

Mix FractionStep 1Step 2Improper Fraction
Mix Fraction 35 × 3 = 1515 + 4 = 19Proper Fraction 3
Mix Fraction 22 × 4 = 88 + 3 = 11Proper Fraction 2
Mix Fraction 13 × 1 = 33 + 1 = 4Proper Fraction 1

Learn More

Fractions

Simplest Form of Fractions

Reciprocal of a Fraction

Rationalize the Denominator

Definitions Index

Leave a Reply

Your email address will not be published. Required fields are marked *

Facebook
Twitter
PINTEREST
LINKEDIN
INSTAGRAM