Question

The Nelson family 1/4 of a gallon of orange juice on Saturday and 2/5 of a gallon of orange juice on Sunday morning how much orange juice did they drink in all?

Answer 1

To find out how much orange juice the Nelson family drank in total over the weekend, we can add the amounts they consumed on Saturday and Sunday.

1. **Amount consumed on Saturday**: \( \frac{1}{4} \) gallon
2. **Amount consumed on Sunday**: \( \frac{2}{5} \) gallon

To add these fractions, we need to find a common denominator. The denominators here are 4 and 5. The least common multiple of 4 and 5 is 20.

Next, we convert each fraction to have a denominator of 20:

1. For \( \frac{1}{4} \):
\[
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
\]

2. For \( \frac{2}{5} \):
\[
\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
\]

Now we can add the two fractions:
\[
\frac{5}{20} + \frac{8}{20} = \frac{5 + 8}{20} = \frac{13}{20}
\]

Thus, the Nelson family drank a total of \( \frac{13}{20} \) gallon of orange juice over the weekend.