Question

1. $\frac{\frac{3}{4}\text{ page}}{2\text{ minutes}}$

$square$ page in 1 minute

Explanation:

Step1: Set up the rate - division formula

We want to find the number of pages read per minute. Given that $\frac{3}{4}$ page is read in 2 minutes, we use the formula: rate = $\frac{\text{amount of work}}{\text{time}}$. Let $x$ be the number of pages read in 1 minute. Then $x=\frac{\frac{3}{4}}{2}$.

Step2: Divide the fraction by a whole number

When dividing a fraction $\frac{a}{b}$ by a whole number $c$, we can rewrite it as $\frac{a}{b}\times\frac{1}{c}$. So, $\frac{\frac{3}{4}}{2}=\frac{3}{4}\times\frac{1}{2}$.

Step3: Multiply the fractions

To multiply two fractions $\frac{a}{b}\times\frac{c}{d}$, we multiply the numerators together and the denominators together. Here, $\frac{3}{4}\times\frac{1}{2}=\frac{3\times1}{4\times2}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$