FRACTIONS
Writing fractions with a common denominator to add or subtract
Let's find \( \frac{2}{5}+\frac{1}{3} \)
First write the addition with a common denominator. Then add.
\[
\frac{2}{5}+\frac{1}{3}=\frac{\square}{\square}+\frac{\square}{\square}=\frac{\square}{\square}
\]

Answer

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Answer

\[\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}\]

Steps

Step 1 ：\[\mathrm{lcm}(5,3) = 15\]

Step 2 ：\[\frac{2}{5}+\frac{1}{3}=\frac{2\times3}{5\times3}+\frac{1\times5}{3\times5}\]

Step 3 ：\[\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}\]