Question

Simplify the expression:Two-thirds divided by (negative 4) minus (one-sixth minus StartFraction 8 over 6 EndFraction)

Answer 1

Answer:

1

Step-by-step explanation:

Brainliest please

Answer 2

we have been given an expression $\frac{\frac{2}{3}}{-4}-\left(\frac{1}{6}-\frac{8}{6}\right)$. We are asked to simplify our given expression.

Using quotient rule $\frac{\frac{a}{b}}{c}=\frac{a}{bc}$, we will get:

$\frac{2}{3\cdot -4}-\left(\frac{1}{6}-\frac{8}{6}\right)$

$\frac{2}{-12}-\left(\frac{1}{6}-\frac{8}{6}\right)$

Now, we will combine like terms:

$\frac{2}{-12}-\left(\frac{1-8}{6}\right)$

$\frac{2}{-12}-\left(\frac{-7}{6}\right)$

$-\frac{2}{12}+\frac{7}{6}$

$-\frac{1}{6}+\frac{7}{6}$

Let us combine like terms:

$\frac{-1+7}{6}$

$\frac{6}{6}=1$

Therefore, our expression simplifies to 1.