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. \(1 \ \frac{1}{2} \ + \ 2 \ \frac{2}{3}=\)
Solution:
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. \(2 \ \frac{1}{4} \ + \ 1 \ \frac{2}{5}=\)
Solution:
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. \(1 \ \frac{3}{4} \ + \ 2\ \frac{3}{8}=\)
Solution:
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. \(1 \ \frac{2}{3} \ + \ 4\ \frac{1}{6}=\)
Solution:
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
- \(\color{blue}{10}\)
- \(\color{blue}{5\frac{1}{2}}\)
- \(\color{blue}{9\frac{3}{5}}\)
- \(\color {blue}{4}\)
- \(\color{blue}{10\frac{2}{3}}\)
- \(\color{blue}{4\frac{2}{3}}\)
