Adding Mixed Numbers

Adding Mixed Numbers

Learn how to add Mixed Numbers in few simple steps.

Step by step guide to Adding Mixed Numbers

Use the following steps for adding mixed numbers.

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

Example 1:

Add mixed numbers. \(1 \ \frac{1}{2} \ + \ 2 \ \frac{2}{3}=\)

Answer:

Rewriting our equation with parts separated, \(1+\frac{1}{2}+2+\frac{2}{3} \),

Solving the whole number parts \(1+2=3\),

Solving the fraction parts \(\frac{1}{2}+\frac{2}{3}\), and rewrite to solve with the equivalent fractions.
\( \frac{3}{6}+\frac{4}{6}=\frac{7}{6}=1 \ \frac{1}{6} \), then Combining the whole and fraction parts \(3+1+\frac{1}{6}=4 \ \frac{1}{6}\)

Example 2:

Add mixed numbers. \(2 \ \frac{1}{4} \ + \ 1 \ \frac{2}{5}=\)

Answer:

Rewriting our equation with parts separated, \(2+\frac{1}{4}+1+\frac{2}{5} \),

Solving the whole number parts \(2+1=3\),

Solving the fraction parts \(\frac{1}{4}+\frac{2}{5} \), and rewrite to solve with the equivalent fractions.
\( \frac{5}{20}+\frac{8}{20}=\frac{13}{20} \), then Combining the whole and fraction parts \(3+\frac{13}{20}=3 \ \frac{13}{20}\)

Example 3:

Add mixed numbers. \(1 \ \frac{3}{4} \ + \ 2\ \frac{3}{8}=\)

Answer:

Rewriting our equation with parts separated, \(1+\frac{3}{4}+2+\frac{3}{8} \),

Solving the whole number parts \(1+2=3\), Solving the fraction parts \(\frac{3}{4}+\frac{3}{8}\), and rewrite to solve with the equivalent fractions.
\( \frac{6}{8}+\frac{3}{8}=\frac{9}{8}=1 \ \frac{1}{8}\) , then combining the whole and fraction parts \(3+1+\frac{1}{8}=4 \frac{1}{8}\)

Example 4:

Add mixed numbers. \(1 \ \frac{2}{3} \ + \ 4\ \frac{1}{6}=\)

Answer:

Rewriting our equation with parts separated, \(1+\frac{2}{3}+4+\frac{1}{6 }\),

Solving the whole number parts \(1+4=5\), Solving the fraction parts \(\frac{2}{3}+\frac{1}{6 }\), and rewrite to solve with the equivalent fractions.
\( \frac{2}{3}+\frac{1}{6}=\frac{5}{6 }\), then combining the whole and fraction parts \(5+\frac{5}{6}=5 \ \frac{5}{6}\)

Exercises

Add.

  • \(\color{blue}{4 \frac{1}{2} + 5 \frac{1}{2}}\)
  • \(\color{blue}{2 \frac{3}{8} + 3 \frac{1}{8}}\)
  • \(\color{blue}{6 \frac{1}{5} + 3 \frac{2}{5}}\)
  • \(\color{blue}{1 \frac{1}{3} + 2 \frac{2}{3}}\)
  • \(\color{blue}{5 \frac{1}{6} + 5 \frac{1}{2}}\)
  • \(\color{blue}{3 \frac{1}{3} + 1 \frac{1}{3}}\)

Download Adding and Subtracting Mixed Numbers Worksheet

Answers

  • \(\color{blue}{10}\)
  • \(\color{blue}{5\frac{1}{2}}\)
  • \(\color{blue}{9\frac{3}{5}}\)
  • \(\color {blue}{4}\)
  • \(\color{blue}{10\frac{2}{3}}\)
  • \(\color{blue}{4\frac{2}{3}}\)

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