Question

Simplify 1/2 of 1 whole number 2/5 / 1/5

Answer 1

To simplify the expression \(\frac{1}{2} \times \frac{2}{5} \div \frac{1}{5}\), we can follow these steps:

1. Start with the expression:
\[
\frac{1}{2} \times \frac{2}{5} \div \frac{1}{5}
\]

2. Division by a fraction is equivalent to multiplying by its reciprocal. So, we rewrite the expression:
\[
\frac{1}{2} \times \frac{2}{5} \times \frac{5}{1}
\]

3. Now, we can simplify the multiplication:
\[
\frac{1}{2} \times \frac{2}{5} \times 5 = \frac{1 \times 2 \times 5}{2 \times 5} = \frac{10}{10}
\]

4. Simplifying \(\frac{10}{10}\) gives us:
\[
1
\]

Thus, the simplified result of the expression is:
\[
\boxed{1}
\]