Question

divide the sum of -3/5 and 12/7 by the product of -13/7 and -1/2​

Answer 1

Answer:

6/13

Step-by-step explanation:

Say the sum is x and the product is y.

So we need to do, x/y

Now, x = -3/5 + 12/7 = (-21 + 36)/35 = 15/35 = 3/7

and y =  -13/7 × -1/2​ = 13/(7×2) = 13/14

Hence,

x/y

= (3/7) ÷ (13/14)

= (3/7) × (14/13)

= (3×14) ÷ (7×13)

= (3×2) ÷ 13

= 6/13

Answer 2

Answer:

$\frac{6}{5}$

Step-by-step explanation:

• As per the data given in the question, we need to divide the sum of $-\frac{3}{5}$ and $\frac{12}{7}$ by the product of $-\frac{13}{7}$ and $-\frac{1}{2}$

• Sum of $-\frac{3}{5}$ and $\frac{12}{7}$

$=-\frac{3}{5} +\frac{12}{7}$

• To add the above fractions, we need to find the LCM of denominators

• LCM of denominators $=35$

• By taking $35$ as denominator, we get

$=\frac{-21+60}{35}$

$=\frac{39}{35}$

• Product of $-\frac{13}{7}$ and $-\frac{1}{2}$

$-\frac{13}{7} \times-\frac{1}{2}$

$=\frac{13}{14}$

• Now,

$\frac{39}{35} \div\frac{13}{14}$

$=\frac{39}{35} \times\frac{14}{13}$

$=\frac{6}{5}$

Hence, the answer is $\frac{6}{5}$.