Question

maggie reads 1/3 of a book every 3/4 of a week. how many books does maggie read per week?

4 books

2 1/4 books

1/4 of a book

4/9 of a book

Explanation:

Step1: Set up rate calculation

We need to find the number of books per week, so divide the fraction of the book by the fraction of the week:
$\text{Rate} = \frac{\frac{1}{3}}{\frac{3}{4}}$

Step2: Divide by multiplying reciprocal

Dividing by a fraction is multiplying by its reciprocal:
$\text{Rate} = \frac{1}{3} \times \frac{4}{3}$

Step3: Calculate the product

Multiply numerators and denominators:
$\text{Rate} = \frac{1 \times 4}{3 \times 3} = \frac{4}{9}$

Answer:

D. 4/9 of a book