Question

peter mixes $4\frac{1}{2}$ cups of orange juice, $1\frac{1}{3}$ cups of ginger ale, and $6\frac{1}{3}$ cups of strawberry lemonade to make some punch. what is the total number of cups of punch that peter makes? \bigcirc $11\frac{3}{8}$ \bigcirc $12\frac{1}{6}$ \bigcirc $11\frac{1}{2}$ \bigcirc $11\frac{3}{5}$

Explanation:

Step1: Convert mixed numbers to fractions

$4\frac{1}{2} = \frac{9}{2}$, $1\frac{1}{3} = \frac{4}{3}$, $6\frac{1}{3} = \frac{19}{3}$

Step2: Find common denominator (6)

$\frac{9}{2} = \frac{27}{6}$, $\frac{4}{3} = \frac{8}{6}$, $\frac{19}{3} = \frac{38}{6}$

Step3: Sum the fractions

$\frac{27}{6} + \frac{8}{6} + \frac{38}{6} = \frac{27+8+38}{6} = \frac{73}{6}$

Step4: Convert back to mixed number

$\frac{73}{6} = 12\frac{1}{6}$

Answer:

$12\frac{1}{6}$ (Option B)