Question

Evaluate the expression shown below and write ur answer as a fraction in simplest form. - 1/10 divided by - 1/4 • 9/5

Answer 1

To evaluate the expression \(-\frac{1}{10} \div -\frac{1}{4} \cdot \frac{9}{5}\), we start by dealing with the division first.

1. Dividing two negative fractions gives a positive result:
\[
-\frac{1}{10} \div -\frac{1}{4} = \frac{1}{10} \cdot \frac{4}{1} = \frac{4}{10}
\]

2. Now simplify \(\frac{4}{10}\):
\[
\frac{4}{10} = \frac{2}{5} \quad (\text{divide both numerator and denominator by 2})
\]

3. Now we need to multiply \(\frac{2}{5}\) by \(\frac{9}{5}\):
\[
\frac{2}{5} \cdot \frac{9}{5} = \frac{2 \cdot 9}{5 \cdot 5} = \frac{18}{25}
\]

The final answer is:
\[
\frac{18}{25}
\]

This fraction is already in simplest form.