Question

Divide the sum of 3/8 and -5/12 by the reciprocal of -15/8×16/26.​

Answer 1

Step-by-step explanation:

Sum of 3/8 & -5/12 =

$= \frac{3}{8} + \frac{ - 5}{12} \\ = \frac{3 \times 12}{8 \times 12} - \frac{5 \times 8}{12 \times 8} \\ = \frac{36 - 40}{96} \\ = \frac{ - 4}{96} \\ = \frac{ - 1}{24}$

Reciprocal of -15/8 × 16/26

$= \frac{ - 15}{8} \times \frac{16}{26} \\ = \frac{ - 15 \times 16}{8 \times 26} \\ = \frac{ - 15 \times 2}{26} \\ = \frac{ - 15}{13}$

Reciprocal of -15/13 = -13/15

Divide = >>

$= \frac{ - 1}{24} \div \frac{ - 13}{15} \\ = \frac{ - 1}{24} \times \frac{ - 15}{13} \\ = \frac{5}{8\times 13} \\ = \frac{5}{104}$