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ad-work [718]
3 years ago
10

To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran

ge sherbet, and 1⁄8 gallon of whole strawberries. How many gallons of punch will our recipe make?
Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

For this case we convert the mixed numbers to fractions:

4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}

Now we add the fractions:

\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

8 \frac {3} {8} gallons

Answer:

8 \frac {3} {8}gallons

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