Question

divide the sum of -13/5 and 4/-15 by their difference.

Answer 1

Answer:

(-13/5)+(4/-15)/(-13/5)-(-4/5)

And..1.452

Step-by-step explanation:

Answer 2

$sum = \frac{ - 13}{5} + \frac{4}{ - 15} \\ \\ = \frac{ - 13}{5} + \frac{ - 4}{15} \\ \\ = \frac{ - 13 \times 3 + ( - 4)}{15} \\ \\ = \frac{ - 39 - 4}{15} \\ \\ = \frac{ - 43}{15}$

$difference = \frac{ - 13}{5} - \frac{4}{ - 15} \\ \\ = \frac{ - 13}{5} + \frac{ 4}{15} \\ \\ = \frac{ - 13 \times 3 + 4}{15} \\ \\ = \frac{ - 39 + 4}{15} \\ \\ = \frac{ - 35}{15}$

$\text{Ratio of sum and difference:} \\ \\ = \frac{ - 43}{15} : \frac{ - 35}{15} \\ \\ = \frac{ - 43}{15} \div \frac{ - 35}{15} \\ \\ = \frac{ - 43}{15} \times \frac{ - 15}{35} \\ \\ = \frac{43}{35} \\ \\ \boxed{\text{ Ratio of sum and difference:} = 43 : 35}$