Question

divide the sum of 13/15 and 3/5 by their difference

Answer 1

sum of 13/15 and 3/5
=22/15
difference of 13/15 and 3/5
=4/15
division=22/15÷4/15
=11/2

Answer 2

13/15 and 3/5
LCM of 15 and 5=15
so,
$\frac{13}{15} = \frac{13 \times 1}{15 \times 1} = \frac{13}{15}$
and,
$\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}$

now sum,
$\frac{13 + 9}{15} = \frac{22}{15}$
so, difference
$\frac{13 - 9}{15} = \frac{4}{15}$
now the quotient,
$step \: 1 \frac{22}{15} \div \frac{4}{15}$
$step2 \: \frac{22}{15} \times \frac{15}{4}$


ans=
$\frac{11}{2}$
ans=11/2