Simplify.
-$\frac { 2 } { 3 } \div \frac { 1 } { 6 } \cdot \left( \frac { 3 } { 10 } - \frac { 1 } { 2 } \right)$

A) $- 20$
B) 1
C) $- \frac { 4 } { 5 }$
D) $- \frac { 1 } { 45 }$

Question

Simplify.
-$\frac { 2 } { 3 } \div \frac { 1 } { 6 } \cdot \left( \frac { 3 } { 10 } - \frac { 1 } { 2 } \right)$

A) $- 20$
B) 1
C) $- \frac { 4 } { 5 }$
D) $- \frac { 1 } { 45 }$

Quizplus · Accepted Answer

To simplify the expression, we first need to use the order of operations. 
Inside the parentheses, we need to simplify the expression:

$$\frac { 3 } { 10 } - \frac { 1 } { 2 } = \frac { 3 } { 10 } - \frac { 5 } { 10 } = -\frac { 2 } { 10 } = -\frac { 1 } { 5 } $$

Now, we can rewrite the expression:

$$\frac { 2 } { 3 } \div \frac { 1 } { 6 } \cdot \left( -\frac { 1 } { 5 } \right)$$

To divide fractions, we multiply by the reciprocal.

$$\frac { 2 } { 3 } \cdot \frac { 6 } { 1 } \cdot \left( -\frac { 1 } { 5 } \right) = -\frac { 4 } { 5 }$$

Therefore, the answer is C.

Simplify - 23÷16⋅(310−12)\frac { 2 } { 3 } \div \frac { 1 } { 6 } \cdot \left( \frac { 3 } { 10 } - \frac { 1 } { 2 } \right)32​÷61​⋅(103​−21​)