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Destiny mixed together 8148\frac{1}{4} cups of grapefruit juice and 5145\frac{1}{4} cups of lemon-lime soda to make punch. How many cups of punch did Destiny make?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ cups

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Add and subtract mixed numbers: word problemsright chevron icon

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Q. Destiny mixed together 8148\frac{1}{4} cups of grapefruit juice and 5145\frac{1}{4} cups of lemon-lime soda to make punch. How many cups of punch did Destiny make?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ cups
  1. Convert to Improper Fractions: Step 11: Convert mixed numbers to improper fractions for easier addition. \newline8148 \frac{1}{4} cups of grapefruit juice becomes (8×4+1)/4=334(8 \times 4 + 1)/4 = \frac{33}{4} cups.\newline5145 \frac{1}{4} cups of lemon-lime soda becomes (5×4+1)/4=214(5 \times 4 + 1)/4 = \frac{21}{4} cups.
  2. Add Improper Fractions: Step 22: Add the two improper fractions. 334+214=(33+21)4=544\frac{33}{4} + \frac{21}{4} = \frac{(33 + 21)}{4} = \frac{54}{4} cups.
  3. Simplify Fraction: Step 33: Simplify the fraction. 544\frac{54}{4} can be simplified to 132413\frac{2}{4}, which further simplifies to 131213\frac{1}{2} cups.

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