you plan to run 7/8 of what your marathon training schedule says to do today. if the training schedule says to run 12 3/5 of a mile, how far will you run today?

To find out how far you'll run today, we need to calculate \( \frac{7}{8} \) of the total distance of 12 3/5 miles.

1. Convert the mixed number 12 3/5 into an improper fraction:
   \[
   12 \frac{3}{5} = \frac{12 \times 5 + 3}{5} = \frac{60 + 3}{5} = \frac{63}{5}
   \]

2. Now, multiply \( \frac{7}{8} \) by \( \frac{63}{5} \):
   \[
   \frac{7}{8} \times \frac{63}{5} = \frac{7 \times 63}{8 \times 5} = \frac{441}{40}
   \]

3. Convert \( \frac{441}{40} \) into a mixed number by dividing 441 by 40:
   \[
   441 \div 40 = 11 \text{ remainder } 1
   \]
   So, \( \frac{441}{40} = 11 \frac{1}{40} \).

Thus, you'll run **11 1/40 miles** today.

Would you like any further details or have any questions?

Here are 5 related questions you could explore:
1. What would happen if you only ran 3/4 of your training schedule?
2. How far would you run if the schedule said to run 15 miles, but you planned to do 7/8 of it?
3. What percentage of the total distance will you run today?
4. How do you convert mixed numbers to improper fractions and vice versa?
5. How much farther would you have to run to complete the full training distance?

**Tip:** When dealing with mixed numbers, always convert them to improper fractions for easier multiplication or division.

Find out how to calculate 7/8 of 12 3/5 miles in this step-by-step guide. Convert the mixed number to an improper fraction and use fraction multiplication to determine the distance you'll run today. This problem is ideal for students in Grades 6-8 and covers fractions and mixed numbers.

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