Question

molly completes \\(\frac{3}{10}\\) of her science project in \\(\frac{4}{5}\\) hour.
how much of the science project does molly complete per hour?
molly completes? of the science project per hour.

Explanation:

Step1: Identify the rate formula

To find the amount completed per hour, we use the rate formula: rate = work done / time taken. Here, the work done is $\frac{3}{10}$ of the project, and the time taken is $\frac{4}{5}$ hour.

Step2: Set up the division

We need to calculate $\frac{3}{10} \div \frac{4}{5}$. Dividing by a fraction is the same as multiplying by its reciprocal, so this becomes $\frac{3}{10} \times \frac{5}{4}$.

Step3: Simplify the multiplication

First, simplify the fractions. The 5 in the numerator and 10 in the denominator can be simplified: $\frac{3}{\cancel{10}^2} \times \frac{\cancel{5}^1}{4} = \frac{3 \times 1}{2 \times 4}$. Then multiply the numerators and denominators: $\frac{3 \times 1}{2 \times 4} = \frac{3}{8}$.

Answer:

$\frac{3}{8}$