Subtract Mixed Numbers

Subtract Mixed Numbers

Learn how to Subtract Mixed Numbers in few simple steps.

Use the following steps for subtracting mixed numbers.

  • Subtract the whole number of second mixed number from 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 first mixed number.
  • Find the Least Common Denominator (LCD) if necessary.
  • Add the result of whole numbers and fractions.
  • Write your answer in lowest terms.

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, \(1 \ + \ \frac{4}{15}=1 \ \frac{4}{15}\)

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, \(3 \ + \ \frac{3}{8}=3 \ \frac{3}{8}\)


Combining the whole and fraction parts, \(3 \ + \ \frac{3}{8}=3 \ \frac{3}{8}\)

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, \(3+\frac{5}{12}=3 \ \frac{5}{12}\)

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, \(\frac{4}{5}-\frac{1}{2}=\frac{3}{10}\)
Combining the whole and fraction parts, \(2+\frac{3}{10}=2 \ \frac{3}{10}\)

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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