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 the formula for rate
Rate = (\frac{\text{Work done}}{\text{Time taken}})
Step2: Substitute the values
Work done = (\frac{1}{4}) of a painting, Time taken = 2 weeks. So rate (r=\frac{\frac{1}{4}}{2})
Step3: Divide the fraction
Dividing by a number is the same as multiplying by its reciprocal. So (r = \frac{1}{4}\times\frac{1}{2})
Step4: Calculate the product
(\frac{1\times1}{4\times2}=\frac{1}{8})
Answer:
(\frac{1}{8})