How to Subtract Mixed Numbers

How to Subtract Mixed Numbers

In this article, you will learn how to Subtract Mixed Numbers with similar (like) or Unlike Denominators in few easy and simple steps.

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Step by step guide for Subtracting Mixed Numbers

Use the following steps for subtracting mixed numbers.

  • Subtract the whole number of the second mixed numbers from the whole number of the first mixed number.
  • Subtract the second fraction from the first one. If the second fraction is bigger than the first fraction, borrow 1 whole number from the first mixed number.
  • Find the Least Common Denominator (LCD) if necessary.
  • Add the result of whole numbers and fractions.
  • Write your answer in the lowest terms.

Subtract Mixed Numbers – Example 1:

Subtract . \( 2 \ \frac{3}{5} \ – \ 1 \ \frac{1}{3} = \)

Solution:

Rewriting our equation with parts separated, \(2 \ + \ \frac{3}{5} \ – \ 1 \ – \ \frac{1}{3}\)
Solving the whole number parts \(2 \ – \ 1=1\) , Solving the fraction parts, \(\frac{3}{5} \ – \ \frac{1}{3}=\frac{9 \ – \ 5}{15}=\frac{4}{15}\)
Combining the whole and fraction parts, \(1 \ + \ \frac{4}{15}=1 \ \frac{4}{15}\)

Subtract Mixed Numbers – Example 2:

Subtract . \( 5 \ \frac{5}{8} \ – \ 2 \ \frac{1}{4} = \)

Solution:

Rewriting our equation with parts separated, \(5 \ +\ \frac{5}{8} \ – \ 2 \ – \ \frac{1}{4}\)
Solving the whole number parts \(5 \ – \ 2=3\) , Solving the fraction parts, \(\frac{5}{8} \ – \ \frac{1}{4}=\frac{5 \ – \ 2}{8}=\frac{3}{8}\)
Combining the whole and fraction parts, \(3 \ + \ \frac{3}{8}=3 \ \frac{3}{8}\)

Subtract Mixed Numbers – Example 3:

Subtract . \( 5 \ \frac{2}{3} \ – \ 2 \ \frac{1}{4} = \)

Solution:

Rewriting our equation with parts separated, \(5+\frac{2}{3}–2-\frac{1}{4}\)
Solving the whole number parts \(5-2=3\), Solving the fraction parts, \(\frac{2}{3}-\frac{1}{4}=\frac{8-3}{12}=\frac{5}{12}\)
Combining the whole and fraction parts, \(3+\frac{5}{12}=3 \ \frac{5}{12}\)

Subtract Mixed Numbers – Example 4:

Subtract . \( 3 \ \frac{4}{5} \ – \ 1 \ \frac{1}{2} = \)

Solution:

Rewriting our equation with parts separated, \(3+\frac{4}{5}-1-\frac{1}{2}\)
Solving the whole number parts \(3-1=2\), Solving the fraction parts, \(\frac{4}{5}-\frac{1}{2}=\frac{8-5}{10}=\frac{3}{10}\)
Combining the whole and fraction parts, \(2+\frac{3}{10}=2 \ \frac{3}{10}\)

Subtract Mixed Numbers – Exercises

Subtract.

  1. \(\color{blue}{4\frac{1}{2}-3\frac{1}{2}}\)
  2. \(\color{blue}{3\frac{3}{8}-3\frac{1}{8}}\)
  3. \(\color{blue}{6\frac{3}{5}-5\frac{1}{5}}\)
  4. \(\color{blue}{2\frac{1}{3}-1\frac{2}{3}}\)
  5. \(\color{blue}{6\frac{1}{6}-5\frac{1}{2}}\)
  6. \(\color{blue}{3\frac{1}{3}-1\frac{1}{3}}\)

Download Adding and Subtracting Mixed Numbers Worksheet

  1. \(\color{blue}{1}\)
  2. \(\color{blue}{\frac{1}{4}}\)
  3. \(\color{blue}{1\frac{2}{5}}\)
  4. \(\color{blue}{\frac{2}{3}}\)
  5. \(\color{blue}{\frac{2}{3}}\)
  6. \(\color{blue}{2}\)

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