Simplify : 1 3 5 +5 4 7 - Vidyadip

Question

Simplify : $1 \frac{3}{5}+5 \frac{4}{7}$

✓

Answer

$1 \frac{3}{5}+5 \frac{4}{7}=1+\frac{3}{5}+5+\frac{4}{7} $
$=(1+5)+\frac{3}{5}+\frac{4}{7}$
$ =6+\frac{(3 \times 7)+(4 \times 5)}{35} $
$=6+\left(\frac{21+20}{35}\right)$
$ =6+\frac{41}{35} $
$ =6+1 \frac{6}{35} $
$ =6+1+\frac{6}{35} $
$ =7+\frac{6}{35}$
$ =7 \frac{6}{35} $
$ \therefore 1 \frac{3}{5}+5 \frac{4}{7}=7 \frac{6}{35}$

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