Question
Add $2 \frac{4}{5}$ and $3 \frac{5}{6}$
✓
Answer
Here, we have,
$2 \frac{4}{5}+3 \frac{5}{6}=2+\frac{4}{5}+3+\frac{5}{6}=5+\frac{4}{5}+\frac{5}{6}$
Now $\frac{4}{5}+\frac{5}{6}=\frac{4 \times 6}{5 \times 6}+\frac{5 \times 5}{6 \times 5} ($Since $LCM$ of $5$ and $6 = 30)$
$= \frac{24}{30}+\frac{25}{30}=\frac{49}{30}=\frac{30+19}{30}=1+\frac{19}{30}$
Thus, $5+\frac{4}{5}+\frac{5}{6}=5+1+\frac{19}{30}=6+\frac{19}{30}=6 \frac{19}{30}$
Therefore, $2 \frac{4}{5}+3 \frac{5}{6}=6 \frac{19}{30}$
$2 \frac{4}{5}+3 \frac{5}{6}=2+\frac{4}{5}+3+\frac{5}{6}=5+\frac{4}{5}+\frac{5}{6}$
Now $\frac{4}{5}+\frac{5}{6}=\frac{4 \times 6}{5 \times 6}+\frac{5 \times 5}{6 \times 5} ($Since $LCM$ of $5$ and $6 = 30)$
$= \frac{24}{30}+\frac{25}{30}=\frac{49}{30}=\frac{30+19}{30}=1+\frac{19}{30}$
Thus, $5+\frac{4}{5}+\frac{5}{6}=5+1+\frac{19}{30}=6+\frac{19}{30}=6 \frac{19}{30}$
Therefore, $2 \frac{4}{5}+3 \frac{5}{6}=6 \frac{19}{30}$
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