Question

evaluate \\(\frac{1}{5} \div \left(5 \times \frac{1}{2} - 3\frac{1}{2}\
ight)\\)

Explanation:

Step1: Calculate inside the parentheses

First, calculate \(5\times\frac{1}{2}=\frac{5}{2}\), and \(3\frac{1}{2}=\frac{7}{2}\). Then subtract: \(\frac{5}{2}-\frac{7}{2}=\frac{5 - 7}{2}=\frac{-2}{2}=-1\)

Step2: Divide by the fraction

Now, divide \(\frac{1}{5}\) by \(-1\). Dividing by a number is the same as multiplying by its reciprocal, so \(\frac{1}{5}\div(-1)=\frac{1}{5}\times(-1)=-\frac{1}{5}\)

Answer:

\(-\frac{1}{5}\)