Question
Simplify: $\frac{6}{5}\times\frac{3}{7}-\frac{1}{5}\times\frac{3}{7}$
✓
Answer
Given, $\frac{6}{5}\times\frac{3}{7}-\frac{1}{5}\times\frac{3}{7}$
$=\frac{6\times3}{5\times7}-\frac{1\times3}{5\times7}=\frac{18}{35}-\frac{3}{35}$
$=\frac{18-3}{35}=\frac{15}{35}=\frac{15\div5}{35\div5}$
$[$dividing numeator and denominator by $5]$
$=\frac{3}{7}$
$=\frac{6\times3}{5\times7}-\frac{1\times3}{5\times7}=\frac{18}{35}-\frac{3}{35}$
$=\frac{18-3}{35}=\frac{15}{35}=\frac{15\div5}{35\div5}$
$[$dividing numeator and denominator by $5]$
$=\frac{3}{7}$
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