Question

solve. use proportions if necessary.

1. 24 is $\frac{3}{4}$ of what number?
2. 15 is what fraction of 75?

Explanation:

Step1: Define unknown number (Q24)

Let $x$ = the unknown number. Set up equation: $24 = \frac{3}{4}x$

Step2: Solve for x (Q24)

Multiply both sides by $\frac{4}{3}$: $x = 24 \times \frac{4}{3}$

Step3: Calculate x (Q24)

$x = 8 \times 4 = 32$

Step4: Set up fraction (Q25)

Write as $\frac{15}{75}$, simplify by dividing numerator/denominator by 15: $\frac{15\div15}{75\div15} = \frac{1}{5}$

Answer:

1. 32
2. $\frac{1}{5}$