A recipe requires $\frac{1}{4}$ lb of onions to make $3$ servings of soup. mark has $1\frac{1}{2}$ lb of onions. how many servings can mark make.

Full solution

Q. A recipe requires

\frac{1}{4}

lb of onions to make

3

servings of soup. mark has

1\frac{1}{2}

lb of onions. how many servings can mark make.

Convert to Improper Fraction: Convert Mark's amount of onions from mixed number to improper fraction. $1\frac{1}{2}$ lb = $\frac{3}{2}$ lb.
Divide to Find Sets: Determine how many sets of $\frac{1}{4}$ lb are in $\frac{3}{2}$ lb. Perform the division $\frac{3}{2} \div \frac{1}{4}$ . Convert $\frac{1}{4}$ to $0.25$ and divide: $\frac{3}{2} \div 0.25 = 6$ .
Calculate Total Servings: Calculate the total number of servings Mark can make. Since each $\frac{1}{4}$ lb makes $3$ servings, multiply $6$ by $3$ . $6 \times 3 = 18$ servings.