Question
Add the fractions $\frac38$ and $\frac23$
✓
Answer
Converting the given fration into like factions, we have
$LCM$ of the denominators of $\frac38$ and $\frac23$
$\begin{array}{c|c}2&8,3\\\hline2&4,3\\\hline2&2,3\\\hline3&1,3\\\hline&1,1\end{array}$
$\therefore$ $LCM$ of $8$ and $3 = 2 \times 2 \times 2 \times 3 = 24$
Now, we convert the given fractions into an equivalent fraction with denominator 24.
So, $\frac38=\frac{3\times3}{8\times9}=\frac{9}{24}$ and $\frac{2}{3}=\frac{2\times8}{3\times8}=\frac{16}{24}$
$\therefore\frac38+\frac23=\frac{9}{24}+\frac{16}{24}=\frac{25}{24}$
$LCM$ of the denominators of $\frac38$ and $\frac23$
$\begin{array}{c|c}2&8,3\\\hline2&4,3\\\hline2&2,3\\\hline3&1,3\\\hline&1,1\end{array}$
$\therefore$ $LCM$ of $8$ and $3 = 2 \times 2 \times 2 \times 3 = 24$
Now, we convert the given fractions into an equivalent fraction with denominator 24.
So, $\frac38=\frac{3\times3}{8\times9}=\frac{9}{24}$ and $\frac{2}{3}=\frac{2\times8}{3\times8}=\frac{16}{24}$
$\therefore\frac38+\frac23=\frac{9}{24}+\frac{16}{24}=\frac{25}{24}$
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