Question

1. kate is making soup. the recipe calls for 4\frac{2}{3} cups of water. if she cuts the recipe in half, what is the total amount of water she will need?

options:
\frac{1}{3}\frac{9}{3}
\frac{1}{3}\frac{2}{6}
\frac{2}{3}\frac{2}{3}
\frac{2}{3}\frac{2}{3}

Explanation:

Step1: Convert mixed - number to improper fraction

The original amount of water is $4\frac{2}{3}$ cups. Convert it to an improper fraction: $4\frac{2}{3}=\frac{4\times3 + 2}{3}=\frac{14}{3}$ cups.

Step2: Divide by 2

Since she cuts the recipe in half, we divide the amount of water by 2. $\frac{14}{3}\div2=\frac{14}{3}\times\frac{1}{2}$.

Step3: Multiply fractions

$\frac{14}{3}\times\frac{1}{2}=\frac{14\times1}{3\times2}=\frac{14}{6}=\frac{7}{3}=2\frac{1}{3}$ cups.

Answer:

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