Simplify: 8 1 4 -2 5 6 - Vidyadip

Question

Simplify: $8 \frac{1}{4}-2 \frac{5}{6}$

✓

Answer

Here,
$8 \frac{1}{4}=\frac{(8 \times 4)+1}{4}=\frac{33}{4}$ and $2 \frac{5}{6}=\frac{2 \times 6+5}{6}=\frac{17}{6}$
Now, $\frac{33}{4}-\frac{17}{6}=\frac{33 \times 3}{12}-\frac{17 \times 2}{12}$ (Since $LCM$ of $4$ and $6 = 12$)
$=\frac{99-34}{12}=\frac{65}{12}=5 \frac{5}{12}$

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