Josephine is training for a 5 k race. On Saturday
she ran miles. On Sunday she ran times
the distance she ran on Saturday. How many
miles did Josephine run in all, this weekend?

Ask by Blake Olson. in the United States

Mar 21,2025

Question

Josephine is training for a 5 k race. On Saturday
she ran miles. On Sunday she ran times
the distance she ran on Saturday. How many
miles did Josephine run in all, this weekend?

Ask by Blake Olson. in the United States

Mar 21,2025

UpStudy AI · Accepted Answer

1. Convert the Saturday distance $$2 \frac{1}{4}$$ miles to an improper fraction:
   $$
   2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} \text{ miles.}
   $$

2. Convert the multiplier for the Sunday distance $$3 \frac{1}{2}$$ to an improper fraction:
   $$
   3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}.
   $$

3. Calculate the distance run on Sunday by multiplying the Saturday distance by the Sunday multiplier:
   $$
   \text{Sunday distance} = \frac{7}{2} \times \frac{9}{4} = \frac{63}{8} \text{ miles.}
   $$

4. Add the Saturday and Sunday distances to find the total distance:
   $$
   \text{Total distance} = \frac{9}{4} + \frac{63}{8}.
   $$
   
5. To add the fractions, convert $$\frac{9}{4}$$ to a fraction with denominator 8:
   $$
   \frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8}.
   $$

6. Now, add the fractions:
   $$
   \frac{18}{8} + \frac{63}{8} = \frac{18 + 63}{8} = \frac{81}{8} \text{ miles.}
   $$

7. Express the total distance as a mixed number:
   $$
   \frac{81}{8} = 10 \frac{1}{8} \text{ miles.}
   $$

Thus, Josephine ran a total of $$10 \frac{1}{8}$$ miles this weekend.
Josephine ran a total of $$10 \frac{1}{8}$$ miles this weekend.

Josephine is training for a 5 k race. On Saturday
she ran miles. On Sunday she ran times
the distance she ran on Saturday. How many
miles did Josephine run in all, this weekend?

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Josephine is training for a 5 k race. On Saturday she ran miles. On Sunday she ran times the distance she ran on Saturday. How many miles did Josephine run in all, this weekend?

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Josephine is training for a 5 k race. On Saturday
she ran miles. On Sunday she ran times
the distance she ran on Saturday. How many
miles did Josephine run in all, this weekend?