Question

Simplify the expression. $$6 t \div\left(-\frac{1}{2}\right)$$

Short answer

-12t

Step-by-step solution

Identify the reciprocal of the denominator

The reciprocal of \(-\frac{1}{2}\) is \(-2\). Remember that the reciprocal of a fraction is obtained by swapping the numerator and denominator.

Replace division operation with multiplication

Replace the division operation in the expression \(6t \div -\frac{1}{2}\) with multiplication, this gives us \(6t \times -2\).

Perform the multiplication operation

Multiply 6 and -2 and keep the \(t\) attached. The result is \(-12t\)