Question

steven used $4\frac{1}{2}$ cups of sugar to make 24 muffins. how much sugar is in each muffin?\
a $\frac{3}{16}$\
b $5\frac{1}{3}$\
c 108\
d 19.5

Explanation:

Step1: Convert mixed number to improper fraction

The total sugar is \(4\frac{1}{2}\) cups. Convert this to an improper fraction: \(4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}\) cups.

Step2: Divide total sugar by number of muffins

To find the sugar per muffin, divide the total sugar by the number of muffins (24). So we calculate \(\frac{9}{2}\div24\). Dividing by a number is the same as multiplying by its reciprocal, so \(\frac{9}{2}\times\frac{1}{24}=\frac{9}{48}\). Simplify this fraction by dividing numerator and denominator by 3: \(\frac{9\div3}{48\div3}=\frac{3}{16}\).

Answer:

A. \(\frac{3}{16}\)