Micah is making a cinnamon and sugar mixture to sprinkle on toast. His recipe uses 1/8

Question

cup of cinnamon and 1/2
cup of sugar. Find 1/8+1/2
and interpret this sum in the context of the problem.(1 point)
cup. This is the total amount of cinnamon sugar the recipe makes.

Answer 1

To find the sum of \( \frac{1}{8} \) cup of cinnamon and \( \frac{1}{2} \) cup of sugar, we first need to express both fractions with a common denominator. The least common multiple of 8 and 2 is 8.

1. Convert \( \frac{1}{2} \) to a fraction with a denominator of 8: \[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]

2. Now, add \( \frac{1}{8} \) and \( \frac{4}{8} \): \[ \frac{1}{8} + \frac{4}{8} = \frac{1 + 4}{8} = \frac{5}{8} \]

Thus, the sum \( \frac{1}{8} + \frac{1}{2} = \frac{5}{8} \).

In the context of the problem, \( \frac{5}{8} \) cup represents the total amount of the cinnamon and sugar mixture that Micah is making. Therefore, the total mixture consists of \( \frac{5}{8} \) cup of cinnamon and sugar combined.