molly completes $\frac{3}{10}$ of her science project in $\frac{4}{5}$ hour. how much of the science project…

Explanation:

Step1: Set up the rate - calculation formula

We use the formula for rate $r=\frac{w}{t}$, where $w$ is the work done and $t$ is the time. Here, $w = \frac{3}{10}$ and $t=\frac{4}{5}$. So the rate is $r=\frac{\frac{3}{10}}{\frac{4}{5}}$.

Step2: Divide by a fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal. So $\frac{\frac{3}{10}}{\frac{4}{5}}=\frac{3}{10}\times\frac{5}{4}$.

Step3: Multiply the fractions

Multiply the numerators together and the denominators together: $\frac{3\times5}{10\times4}=\frac{15}{40}$.

Step4: Simplify the fraction

Reduce $\frac{15}{40}$ by dividing both the numerator and denominator by 5. We get $\frac{15\div5}{40\div5}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$