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 18+12
and interpret this sum in the context of the problem.(1 point)
cup. This is the total amount of cinnamon sugar the recipe makes.

1 answer

To find \( \frac{1}{8} + \frac{1}{12} \), we first need to find a common denominator.

The least common multiple (LCM) of 8 and 12 is 24.

Next, we convert the fractions:

  1. Convert \( \frac{1}{8} \) to a fraction with a denominator of 24: \[ \frac{1}{8} = \frac{3}{24} \]

  2. Convert \( \frac{1}{12} \) to a fraction with a denominator of 24: \[ \frac{1}{12} = \frac{2}{24} \]

Now we can add the two fractions: \[ \frac{3}{24} + \frac{2}{24} = \frac{5}{24} \]

Thus, \( \frac{1}{8} + \frac{1}{12} = \frac{5}{24} \).

Interpretation in the context of the problem: The sum \( \frac{5}{24} \) represents the total amount of cinnamon and sugar mixture (in cups) that Micah will use for his recipe to sprinkle on toast.