Micah is making a cinnamon and sugar mixture to sprinkle on toast. His recipe uses 18 cup of cinnamon and 12 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

First, let's calculate \( \frac{1}{8} + \frac{1}{2} \).

To add these fractions, we need a common denominator. The least common denominator between 8 and 2 is 8.

Convert \( \frac{1}{2} \) to have a denominator of 8:

\[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]

Now we can add the fractions:

\[ \frac{1}{8} + \frac{4}{8} = \frac{1 + 4}{8} = \frac{5}{8} \]

In the context of the problem, this sum \( \frac{5}{8} \) represents the total amount of cinnamon and sugar mixture when we consider \( \frac{1}{8} \) cup of cinnamon and \( \frac{1}{2} \) cup of sugar. Notably, the recipe calls for 1.5 cups total (which is \( \frac{18}{16} \) from cinnamon and \( \frac{12}{16} \) from sugar). The sum \( \frac{5}{8} \) cups would be part of the total mixture.

Thus, the answer shows that if we use \( \frac{1}{8} \) cup of cinnamon and \( \frac{1}{2} \) cup of sugar, we have a total of \( \frac{5}{8} \) cup of the mixture made.