To find out how many miles Jenna has run so far, we first need to calculate 75% of the total distance of the race, which is 2 1/2 miles.
-
Convert 2 1/2 miles to an improper fraction: \[ 2 \frac{1}{2} = \frac{5}{2} \]
-
Calculate 75% of \(\frac{5}{2}\): \[ 75% = \frac{75}{100} = \frac{3}{4} \]
-
Now, multiply \(\frac{3}{4}\) by \(\frac{5}{2}\): \[ \text{Miles run} = \frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8} \]
-
Convert \(\frac{15}{8}\) into a mixed number: \[ \frac{15}{8} = 1 \frac{7}{8} \]
Therefore, Jenna has run \(1 \frac{7}{8}\) miles so far.
1 answer