If you mix the yogurt-covered raisins and yogurt-covered dates together, how many cups will there be in all? Yogurt snaCk mix INGREDIENTS: \( \frac{\frac{3}{8} \text { cup yogurt-covered raisins }}{\frac{\frac{3}{4} \text { cup yogurt-covered peanuts }}{\frac{1}{3} \text { cup yogurt-covered almonds }}} \begin{array}{l}\frac{\frac{1}{2} \text { cup yogurt-covered pretzels }}{\frac{1}{8} \text { cup yogurt-covered blueberries }} \\ \text { Write your answer as a fraction or as a whole or mixed number. } \\ \frac{7}{8} \text { cup yogurt-covered dates }\end{array} \)

To find the total amount of yogurt-covered raisins and yogurt-covered dates, we need to first simplify the expression for the yogurt-covered raisins and then add it to the amount of yogurt-covered dates. ### Step 1: Simplify the yogurt-covered raisins The expression for yogurt-covered raisins is given as: \[ \frac{\frac{3}{8} \text{ cup yogurt-covered raisins}}{\frac{\frac{3}{4} \text{ cup yogurt-covered peanuts}}{\frac{1}{3} \text{ cup yogurt-covered almonds}}} \] To simplify this, we can rewrite the denominator: \[ \frac{\frac{3}{4}}{\frac{1}{3}} = \frac{3}{4} \times \frac{3}{1} = \frac{9}{4} \] Now, we can rewrite the expression for yogurt-covered raisins: \[ \frac{\frac{3}{8}}{\frac{9}{4}} = \frac{3}{8} \times \frac{4}{9} = \frac{12}{72} = \frac{1}{6} \] ### Step 2: Add the yogurt-covered dates Now we have: - Yogurt-covered raisins: \( \frac{1}{6} \) cup - Yogurt-covered dates: \( \frac{7}{8} \) cup Next, we need to add these two fractions together. To do this, we need a common denominator. The least common multiple of 6 and 8 is 24. ### Step 3: Convert fractions to have a common denominator Convert \( \frac{1}{6} \) to a fraction with a denominator of 24: \[ \frac{1}{6} = \frac{1 \times 4}{6 \times 4} = \frac{4}{24} \] Convert \( \frac{7}{8} \) to a fraction with a denominator of 24: \[ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} \] ### Step 4: Add the fractions Now we can add the two fractions: \[ \frac{4}{24} + \frac{21}{24} = \frac{4 + 21}{24} = \frac{25}{24} \] ### Final Answer The total amount of yogurt-covered raisins and yogurt-covered dates is: \[ \frac{25}{24} \text{ cups} \] This can also be expressed as a mixed number: \[ 1 \frac{1}{24} \text{ cups} \] Thus, the final answer is: \[ \frac{25}{24} \text{ cups} \text{ or } 1 \frac{1}{24} \text{ cups} \]