To find the total amount of blueberries and strawberries needed for the fruit salad, you need to add the two amounts together.
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Convert the mixed numbers to improper fractions:
- For blueberries: \( 1 \frac{1}{8} = \frac{8}{8} + \frac{1}{8} = \frac{9}{8} \)
- For strawberries: \( 2 \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \)
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Find a common denominator to add the two fractions. The least common denominator (LCD) of 8 and 4 is 8.
Convert \(\frac{11}{4}\) to eighths: \[ \frac{11}{4} = \frac{11 \times 2}{4 \times 2} = \frac{22}{8} \]
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Now, add the two fractions: \[ \frac{9}{8} + \frac{22}{8} = \frac{9 + 22}{8} = \frac{31}{8} \]
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Convert \(\frac{31}{8}\) back to a mixed number: \[ 31 \div 8 = 3 \text{ R } 7, \text{ so } \frac{31}{8} = 3 \frac{7}{8} \]
Therefore, the total amount of blueberries and strawberries needed in the recipe is \( 3 \frac{7}{8} \) cups.