Question
Simplify:
$2 \frac{3}{4}-1 \frac{5}{6}$
$2 \frac{3}{4}-1 \frac{5}{6}$
✓
Answer
$2 \frac{3}{4}-1 \frac{5}{6}=\frac{11}{4}-\frac{1}{6}=\frac{11 \times 6}{4 \times 6}-\frac{11 \times 4}{6 \times 4} $
$=\frac{23 \times 4}{12 \times 4}-\frac{13 \times 3}{16 \times 3} \ldots \ldots \ldots .(\text { LCM of } 4,6=24) $
$=\frac{66}{24}-\frac{44}{24} $
$=\frac{66-44}{24} $
$=\frac{22}{24}=\frac{11}{12}$
$=\frac{23 \times 4}{12 \times 4}-\frac{13 \times 3}{16 \times 3} \ldots \ldots \ldots .(\text { LCM of } 4,6=24) $
$=\frac{66}{24}-\frac{44}{24} $
$=\frac{66-44}{24} $
$=\frac{22}{24}=\frac{11}{12}$
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