an artist has completed $\frac{1}{4}$ of a painting in 2 weeks. at what rate is she working? simplify your…
an artist has completed $\frac{1}{4}$ of a painting in 2 weeks. at what rate is she working? simplify your answer and write it as a proper fraction, mixed number, or whole number. paintings per week
Answer
Explanation:
Step1: Recall rate - formula
Rate = $\frac{\text{Amount of work}}{\text{Time}}$
Step2: Substitute values
The amount of work is $\frac{1}{4}$ of a painting and the time is 2 weeks. So the rate $r=\frac{\frac{1}{4}}{2}$.
Step3: Simplify the fraction
When dividing by a number is the same as multiplying by its reciprocal. So $r = \frac{1}{4}\times\frac{1}{2}=\frac{1\times1}{4\times2}=\frac{1}{8}$.
Answer:
$\frac{1}{8}$