Question

You are making trail mix for your camping trip. You add 2 1/4 cups granola, 5/6 cups of chocolate chips, 1/2 cups of almonds, 1 3/8 cups of dried cranberries and 2/3 cups of raisins. How many cups of trail mix did you make in all? Write your answer as a mixed number. *

Answer 1

Answer: The mixed number is 5 5/8 cups of trail mix.

Explanation:

1. Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
2. Convert the fractions so they have 24 as their denominator.

• 2 1/4 ; 9/4 = 54/24
• 5/6 = 20/24
• 1/2 = 12/24
• 1 3/8 ; 11/8 = 33/24
• 2/3 = 16/24

3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.

4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8 since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.