Eric makes a fruit salad. He uses \( \frac{1}{2} \) cup blueberries, \( \frac{2}{3} \) cup strawberries, and \( \frac{3}{4} \) cup apples. How much fruit did Eric use in all? Enter your answer as a mixed number in simplest form by filling in the boxes. cups

To find the total amount of fruit Eric used, we need to add the fractions together: \[ \frac{1}{2} + \frac{2}{3} + \frac{3}{4} \] To add these fractions, we need a common denominator. The least common multiple of 2, 3, and 4 is 12. Now, we can convert each fraction: \[ \frac{1}{2} = \frac{6}{12} \] \[ \frac{2}{3} = \frac{8}{12} \] \[ \frac{3}{4} = \frac{9}{12} \] Now, we can add these fractions: \[ \frac{6}{12} + \frac{8}{12} + \frac{9}{12} = \frac{23}{12} \] To convert \( \frac{23}{12} \) to a mixed number, we get: \[ 23 \div 12 = 1 \text{ R } 11 \] So, \( \frac{23}{12} \) can be expressed as \( 1 \frac{11}{12} \). Therefore, the total amount of fruit Eric used is: 1 \( \frac{11}{12} \) cups.