Question

divide the difference of -3/4 and 2/5by their sum

Answer 1

(-3/4-2/5) / (-3/4+2/5)

= (-15-8/20) / (-15+8/20)

= (-23/20) / (-7/20)

= -23/20×20/-7

= -23/-7

= 23/7

Answer 2

Hi friend, Harish here.

Here is your answer:

⇒ $Sum = ( \frac{-3}{4}) + ( \frac{2}{5}) = \frac{-15}{20} + \frac{8}{20} = \frac{-7}{20}$

⇒ $Dif = \frac{-3}{4} - \frac{2}{5} = \frac{-15}{20} - \frac{8}{20} = \frac{-23}{20}$

Then,

Difference ÷ Sum = $\frac{-23}{20} \div \frac{-7}{20} = \frac{-23}{20} \times \frac{-20}{7} = \frac{23}{7}$
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Hope my answer is helpful to you.