Question

Use unit fractions to convert.
12 and one fourth
galequals​___ qt

Answer 1

To convert 12 and one fourth gallons to quarts using unit fractions, you can follow these steps:

1. **Convert the mixed number to an improper fraction**:
\[
12 \text{ and } \frac{1}{4} = 12 + \frac{1}{4} = \frac{48}{4} + \frac{1}{4} = \frac{49}{4} \text{ gallons}
\]

2. **Use the conversion factor** for gallons to quarts:
- There are 4 quarts in 1 gallon.

3. **Set up the conversion using the unit fraction**:
\[
\frac{49}{4} \text{ gallons} \times \frac{4 \text{ quarts}}{1 \text{ gallon}} = \frac{49 \cdot 4}{4} \text{ quarts}
\]

4. **Cancel out the gallons**:
\[
= 49 \text{ quarts}
\]

So, 12 and one fourth gallons equals **49 quarts**.