Question

By what number should the sum of −3 4 and 2 −3 be divided to get −1 3​

Answer 1

Answer:

Sum of $\dfrac{-3}{4}$ and $\dfrac{-2}{3}$ is:

$\dfrac{ - 3}{4} + \dfrac{ - 2}{3} \\ \\ \dfrac{ - 9 - 8}{12} \\ \\ \dfrac{ - 17}{12}$

Let the number by which sum is divided be x.

$\dfrac{ \frac{ - 17}{12} }{x} = \dfrac{ - 1}{3} \\ \\ \dfrac{ - 17}{12x} = \dfrac{ - 1}{3} \\ \\ - 12x = - 51 \\ \\ 12x = 51 \\ \\ x = \dfrac{51}{12}$

Hope it helps