Question

Jon drank 5/6 of a cup of orange juice in the morning and 1/3 of a cup in the afternoon. How much orange juice did Jon drink in all?

Write your answer as a fraction or as a whole or mixed number.

cups

Answer 1

To find out how much orange juice Jon drank in total, we need to add the two fractions: \( \frac{5}{6} \) and \( \frac{1}{3} \).

First, we need a common denominator for the fractions. The denominators are 6 and 3. The least common denominator (LCD) is 6.

Next, we'll convert \( \frac{1}{3} \) into a fraction with a denominator of 6:

\[
\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
\]

Now we can add the two fractions:

\[
\frac{5}{6} + \frac{2}{6} = \frac{5 + 2}{6} = \frac{7}{6}
\]

The result \( \frac{7}{6} \) can also be expressed as a mixed number:

\[
\frac{7}{6} = 1 \frac{1}{6}
\]

Thus, the total amount of orange juice that Jon drank is:

\[
\frac{7}{6} \text{ cups} \quad \text{or} \quad 1 \frac{1}{6} \text{ cups}
\]