Question

Sally is running laps around a track. She runs 1 3/4 laps to warm up. Then she runs 13 2/4 laps.
How many laps does sally run in all

Answer 1

To find the total number of laps Sally runs, we need to add the two amounts together:

1. Convert the mixed numbers to improper fractions for easier addition.

For \(1 \frac{3}{4}\):
\[
1 \frac{3}{4} = \frac{4 \times 1 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}
\]

For \(13 \frac{2}{4}\):
\[
13 \frac{2}{4} = \frac{4 \times 13 + 2}{4} = \frac{52 + 2}{4} = \frac{54}{4}
\]

2. Now, add the two improper fractions:
\[
\frac{7}{4} + \frac{54}{4} = \frac{7 + 54}{4} = \frac{61}{4}
\]

3. Converting \(\frac{61}{4}\) back to a mixed number:
\[
61 \div 4 = 15 \quad \text{with a remainder of } 1
\]
So, \(\frac{61}{4} = 15 \frac{1}{4}\).

Therefore, Sally runs **15 \( \frac{1}{4} \) laps in all.**