Math Problem Statement

Jordan runs 3/4 mile each day. How many miles does Jordan run in 12 days?

Solution

The problem asks how many miles Jordan runs in 12 days if Jordan runs 34\frac{3}{4} mile each day.

To solve this, we can multiply the distance Jordan runs each day by the number of days:

34×12=3×124=364=9\frac{3}{4} \times 12 = \frac{3 \times 12}{4} = \frac{36}{4} = 9

So, Jordan runs 9 miles in 12 days.

Would you like further details or explanations? Here are some related questions:

  1. How do you handle multiplication with fractions?
  2. What would happen if Jordan ran a different fraction of a mile each day, say 56\frac{5}{6}?
  3. How can you represent repeated addition as multiplication with fractions?
  4. How would the result change if Jordan ran for 15 days instead of 12?
  5. How can you apply this method to other word problems involving daily activity over time?

Tip: When multiplying fractions by whole numbers, you multiply the numerator by the whole number and keep the denominator the same!

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Math Problem Analysis

Mathematical Concepts

Multiplication of Fractions
Unit Rate
Repeated Addition

Formulas

Fraction Multiplication: (a/b) × c = (a × c) / b

Theorems

Basic Properties of Multiplication

Suitable Grade Level

Grades 4-6