Question

Divide the sum of 13/5 and -12/7 by their difference.​

Answer 1

Answer:

$\frac{31}{151}$

Step-by-step explanation:

To divide the sum of 13/5 and -12/7 by thier difference.

So first we have to find the sum and difference of both then divide them.

$sum \: = \\ \frac{13}{5} + \frac{ - 12}{7} \\ (LCM \: of \: 5 \: and \: 7 \: is \: 35) \\ = \frac{(13 \times 7) + ( - 12 \times 5)}{35} \\ = \frac{91 + ( - 60)}{35} \\ = \frac{91 - 60}{35} \\ = \frac{31}{35}$

sum = 31/35

$difference \: = \\ \frac{13}{5} - \frac{ - 12}{7} \\ = \frac{(13 \times 7) - ( - 12 \times 5)}{35} \\ = \frac{91 - ( - 60)}{35} \\ = \frac{91 + 60}{35} \\ = \frac{151}{35}$

Difference = 151/35

Now division = sum ÷ difference

$\frac{31}{35} \div \frac{151}{35} \\ = \frac{31}{35} \times \frac{35}{151} \\ = \frac{31 \times 35}{35 \times 151} \\ = \frac{31}{151} \times \frac{35}{35} \\ \frac{31}{151}$

Hence the answer is 31/151

hope it helps.

Answer 2

see the above pic for answer

i hope you get your answer

thanks for asking