Question

Matt is baking a cake. The recipe calls for & cup of sugar for the cake and & cup of sugar for the frosting. How many cups of sugar will he need in all? (1 point)

Answer 1

To determine the total amount of sugar Matt needs, you need to add the sugar for the cake and the sugar for the frosting.

Let’s assume the amounts are:
- For the cake: \( \frac{1}{2} \) cup
- For the frosting: \( \frac{1}{3} \) cup

Now, calculate the total:

1. Find a common denominator for \( \frac{1}{2} \) and \( \frac{1}{3} \). The least common multiple of 2 and 3 is 6.
2. Convert \( \frac{1}{2} \) and \( \frac{1}{3} \) to have a denominator of 6:
- \( \frac{1}{2} = \frac{3}{6} \)
- \( \frac{1}{3} = \frac{2}{6} \)

3. Now add the two fractions:
\[
\frac{3}{6} + \frac{2}{6} = \frac{5}{6}
\]

So, Matt will need \( \frac{5}{6} \) cups of sugar in total.