Question
Simplify:
$2 \frac{5}{7}+\frac{3}{14}-\frac{13}{21}$
$2 \frac{5}{7}+\frac{3}{14}-\frac{13}{21}$
✓
Answer
$2 \frac{5}{7}+\frac{3}{14}-\frac{13}{21} $
$=\frac{19}{7}+\frac{3}{14}-\frac{13}{21} $
$=\frac{19 \times 6}{7 \times 6}+\frac{3 \times 3}{14 \times 3}-\frac{13 \times 2}{21 \times 2} \ldots \ldots . .(\text { LCM of } 7,14,21=42) $
$=\frac{114}{42}+\frac{9}{42}-\frac{26}{42} $
$=\frac{114+9-26}{42}=\frac{123-26}{42} $
$=\frac{97}{42}=2 \frac{13}{42}$
$=\frac{19}{7}+\frac{3}{14}-\frac{13}{21} $
$=\frac{19 \times 6}{7 \times 6}+\frac{3 \times 3}{14 \times 3}-\frac{13 \times 2}{21 \times 2} \ldots \ldots . .(\text { LCM of } 7,14,21=42) $
$=\frac{114}{42}+\frac{9}{42}-\frac{26}{42} $
$=\frac{114+9-26}{42}=\frac{123-26}{42} $
$=\frac{97}{42}=2 \frac{13}{42}$
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