Question

Divide the sum of -13/5 and 12/7 by the product of -31/7 and 1/2

Answer 1

Answer:

14/35

Step-by-step explanation:

Sum of -13/5 and 12/7

$= \frac{ - 13}{5} + \frac{12}{7} \\ \\ by \: taking \: lcm \: of \: 5 \: and \: 7 \\ we \: get \\ \\ = \frac{ - 13(7) + 12(5)}{35} \\ \\ = \frac{ - 91 + 60}{35} \\ \\ = \frac{ - 31}{35}$

Product of -31/7 and 1/2 = -31/7×1/2

= -31/14

Now according to question

= Sum/ product

=

$= \frac{ \frac{ - 31}{35} }{ \frac{ - 31}{14} } \\ \\ = \frac{31}{35} \times \frac{14}{31} \\ \\ = \frac{14}{35}$

Hope this helps you

Answer 2

Step-by-step explanation:

$\frac{ - 13}{5} + \frac{12}{7} \\ = \frac{ - 91 + 60}{35} \\ = \frac{ - 31}{35}$

$\frac{ - 31}{7} ( \frac{1}{2} ) \\ = \frac{ - 31}{14}$

$\frac{ - 31}{35} \div \frac{ - 31}{14 } \\ = \frac{ - 31}{35} \times \frac{14}{ - 31} \\ = \frac{14}{35}$