Question

subtract the sum of -3/2 and 2/3 from the sum of 4/3 and -5/6​

Answer 1

The answer is $\bold{\dfrac{4}{3}}$

Step-by-step explanation:

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

$⟹ {\dfrac{-3}{2}}\:+\:{\dfrac{2}{3}}$

$⟹ {\dfrac{(-9)\:+\:4}{6}}$

$⟹ {\dfrac{-5}{6}}$

Sum of $\bold{\dfrac{4}{3}}$ and $\bold{\dfrac{-5}{6}}$ :-

$⟹ {\dfrac{4}{3}}\:+\:{\dfrac{-5}{6}}$

$⟹ {\dfrac{8\:+\:(-5)}{6}}$

$⟹ {\dfrac{8\:-\:5}{6}}$

$⟹ {\dfrac{3}{6}}$

$⟹ {\dfrac{{\cancel{3}}}{{\cancel{6}}}}$

$⟹ {\dfrac{1}{2}}$

Subtracting $\bold{\dfrac{-5}{6}}$ from $\bold{\dfrac{1}{2}}$ :-

$⟹ {\dfrac{1}{2}}\:+\:{\dfrac{-5}{6}}$

$⟹ {\dfrac{3\:-\:(-5)}{6}}$

$⟹ {\dfrac{3\:+\:5}{6}}$

$⟹ {\dfrac{8}{6}}$

$⟹ {\dfrac{{\cancel{8}}}{{\cancel{6}}}}$

$⟹ {\dfrac{4}{3}}$

Hence, subtracting the Sum of $\bold{\dfrac{-3}{2}}$ and $\bold{\dfrac{2}{3}}$ from the Sum of $\bold{\dfrac{4}{3}}$ and $\bold{\dfrac{-5}{6}}$ gives $\bold{\dfrac{4}{3}}$.