Question

Evaluate the expression. $$2-8 \div \frac{-2}{3}$$

Short answer

The value of the expression \(2 - 8 \div \frac{-2}{3}\) is 14.

Step-by-step solution

Handle Division first

According to BIDMAS/BODMAS, division should be handled before subtraction. The division given in the equation is \(8 \div \frac{-2}{3}\). To perform this operation, multiply 8 by the reciprocal of \(\frac{-2}{3}\), that is \(\frac{-3}{2}\).

Perform the multiplication

Now perform the multiplication, \(8 * \frac{-3}{2}\), which equals to -12.

Perform the subtraction

Now, substitute -12 into the original expression in place of \(8 \div \frac{-2}{3}\), we will get \(2 - -12\). Two negatives make a positive, so this becomes \(2 + 12\).

Final calculation

Evaluate the final expression \(2 + 12\), which equals 14.