The Moon-Juice Mix-Up

Maya is mixing moon juice for a rocket launch. She pours two concentrates into the same empty dispenser.

Your question

How much of the dispenser is filled altogether?

Lumi’s answer: “The dispenser is $\frac{19}{48}$ full.”

Step 1 of 4

Find the wrong step

Start with Step 1 and move downward. Choose the first line that stops making sense.

Later lines may be wrong too. Pick the first mistake.

These lines form one solution. Read them from top to bottom.

1
Use 24 as a common denominator for $\frac{3}{8}$ and $\frac{5}{12}$ .
Twenty-four is the smallest number divisible by both 8 and 12.
2
Rename $\frac{3}{8}$ as $\frac{9}{24}$ and $\frac{5}{12}$ as $\frac{10}{24}$ .
3
Add the numerators: 9 + 10 = 19.
4
Add the denominators too: 24 + 24 = 48, so the total is $\frac{19}{48}$ .