Question

1. racing a swimmer completes a $1\frac{1}{2}$ mile race. how many yards did the swimmer swim?
2. cooking a main dish cooks for $1\frac{3}{4}$ hours. for how many minutes does the main dish cook?

Explanation:

Step1: Convert mixed number to improper fraction (Q28)

$1\frac{1}{2} = \frac{3}{2}$

Step2: Apply mile to yard conversion (Q28)

We know 1 mile = 1760 yards, so:
$\frac{3}{2} \times 1760 = 2640$

Step3: Convert mixed number to improper fraction (Q29)

$1\frac{3}{4} = \frac{7}{4}$

Step4: Apply hour to minute conversion (Q29)

We know 1 hour = 60 minutes, so:
$\frac{7}{4} \times 60 = 105$

Answer:

1. The swimmer swam 2640 yards.
2. The main dish cooks for 105 minutes.