Problem

Perform the indicated operation.
\[
13 \frac{2}{5}+23 \frac{2}{3}
\]
\[
13 \frac{2}{5}+23 \frac{2}{3}=
\]
(Simplify your answer.)

Answer

Expert–verified
Hide Steps
Answer

Convert the result back to a mixed number. The final answer is \(\boxed{37 \frac{1}{15}}\).

Steps

Step 1 :Convert each mixed number to an improper fraction. The first number, \(13 \frac{2}{5}\), becomes \(\frac{67}{5}\) and the second number, \(23 \frac{2}{3}\), becomes \(\frac{71}{3}\).

Step 2 :Add the two fractions together. \(\frac{67}{5} + \frac{71}{3} = \frac{556}{15}\).

Step 3 :Simplify the result. \(\frac{556}{15}\) simplifies to \(37 \frac{1}{15}\).

Step 4 :Convert the result back to a mixed number. The final answer is \(\boxed{37 \frac{1}{15}}\).

link_gpt