Question

1. the list shows the amount of each item needed in a fruit salad recipe. the recipe makes 5 servings. - sugar: \\(\frac{4}{8}\\) cup of brown sugar - juice: \\(\frac{3}{8}\\) cup of lemon juice, \\(\frac{2}{8}\\) cup of orange juice - fruit: \\(\frac{3}{8}\\) cup of blueberries, 1 cup of grapes, \\(\frac{7}{8}\\) cup of pineapple, \\(1\frac{1}{8}\\) cups of strawberries part a which expressions are equivalent to the total number of cups of pineapple and blueberries in the fruit salad recipe? select the two correct expressions. \\(\square\\) a. \\(\frac{1}{8}+\frac{1}{8}+\frac{6}{8}\\) \\(\square\\) b. \\(\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}\\) \\(\square\\) c. \\(\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+1\\) \\(\square\\) d. \\(\frac{1}{8}\times4\\) \\(\square\\) e. \\(\frac{1}{8}\times8\\)

Explanation:

Step1: Find total cups of fruits

The recipe has $\frac{3}{8}$ cup blueberries and $\frac{7}{8}$ cup pineapple.
Total = $\frac{3}{8} + \frac{7}{8} = \frac{10}{8}$

Step2: Evaluate Option A

Sum the fractions: $\frac{1}{8} + \frac{1}{8} + \frac{8}{8} = \frac{1+1+8}{8} = \frac{10}{8}$

Step3: Evaluate Option B

Sum the fractions: $\frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} = \frac{4}{8}$

Step4: Evaluate Option C

Convert 1 to $\frac{8}{8}$: $\frac{3}{8} + \frac{3}{8} + \frac{3}{8} + \frac{8}{8} = \frac{3+3+3+8}{8} = \frac{17}{8}$

Step5: Evaluate Option D

Calculate the product: $\frac{1}{8} \times 4 = \frac{4}{8}$

Step6: Evaluate Option E

Calculate the product: $\frac{1}{8} \times 10 = \frac{10}{8}$

Answer:

A. $\frac{1}{8} + \frac{1}{8} + \frac{8}{8}$
E. $\frac{1}{8} \times 10$