Question

levi ran 3 1/3 miles on monday 2 1/2 miles on tuesday if his weekly goal is 10 miles how much more does he need to run

Answer 1

To find out how much more Levi needs to run, first, we need to add the distances he has already run on Monday and Tuesday.

1. Convert the mixed numbers to improper fractions:
- \(3 \frac{1}{3} = \frac{10}{3}\) miles
- \(2 \frac{1}{2} = \frac{5}{2}\) miles

2. Find a common denominator to add these two fractions. The least common multiple of 3 and 2 is 6.

Convert both fractions:
- \(\frac{10}{3} = \frac{20}{6}\)
- \(\frac{5}{2} = \frac{15}{6}\)

3. Now add the two distances:
\[
\frac{20}{6} + \frac{15}{6} = \frac{35}{6}
\]

4. Now, convert \(\frac{35}{6}\) back to a mixed number:
\(\frac{35}{6} = 5 \frac{5}{6}\) miles.

5. Now subtract the distance he has run from his weekly goal:
- Weekly goal: 10 miles = \(\frac{60}{6}\)
- Distance run: \(\frac{35}{6}\)

\[
\frac{60}{6} - \frac{35}{6} = \frac{25}{6}
\]

This fraction, \(\frac{25}{6}\), can be converted back to a mixed number:
\[
\frac{25}{6} = 4 \frac{1}{6} \text{ miles}
\]

Thus, Levi needs to run **4 1/6 miles** more to reach his weekly goal of 10 miles.