A recipe for fruit salad calls for 1(1/8)

Question

cups of blueberries and 2(3/4)
cups of strawberries. How many cups of blueberries and strawberries are needed in the recipe?(1 point)

Answer 1

To find the total cups of blueberries and strawberries needed for the recipe, we need to add the amounts of each fruit together.

1. First, let's convert the mixed numbers to improper fractions:

   • For blueberries: \( 1 \frac{1}{8} = \frac{8 \times 1 + 1}{8} = \frac{9}{8} \)

   • For strawberries: \( 2 \frac{3}{4} = \frac{4 \times 2 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4} \)

2. Now we need to add \( \frac{9}{8} \) and \( \frac{11}{4} \). To do this, we need a common denominator. The least common denominator (LCD) of 8 and 4 is 8.

   • Convert \( \frac{11}{4} \) to eighths: \[ \frac{11}{4} = \frac{11 \times 2}{4 \times 2} = \frac{22}{8} \]

3. Now we can add the two fractions: \[ \frac{9}{8} + \frac{22}{8} = \frac{9 + 22}{8} = \frac{31}{8} \]

4. Finally, we can convert \( \frac{31}{8} \) back to a mixed number:

   • Divide 31 by 8, which goes 3 times, with a remainder of 7.
   • Therefore, \( \frac{31}{8} = 3 \frac{7}{8} \).

So, the total amount of fruit needed for the recipe is 3(7/8) cups of blueberries and strawberries combined.