Question

ben wants to try a new honey-glazed salmon recipe. he starts with $1\frac{2}{3}$ cups of honey. he uses $\frac{1}{5}$ of it to make the glaze. how much honey does ben have left?
write your answer as a whole number, fraction, or mixed number. simplify any fractions.
_______ cups
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Explanation:

Step1: Convert mixed number to fraction

$1\frac{2}{3} = \frac{1\times3 + 2}{3} = \frac{5}{3}$

Step2: Find remaining fraction of honey

$1 - \frac{1}{5} = \frac{4}{5}$

Step3: Calculate leftover honey

$\frac{5}{3} \times \frac{4}{5} = \frac{20}{15} = \frac{4}{3}$

Step4: Convert to mixed number (optional)

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

Answer:

$\frac{4}{3}$ or $1\frac{1}{3}$ cups