Math Problem Statement

Melissa's family is going hiking around Teddy Roosevelt Island on the Swamp Trail. Each lap they walk is 1 1/4 miles. If they walk 4 laps, how many miles did they walk?

Solution

The problem states:

Melissa's family is going hiking around Teddy Roosevelt Island on the Swamp Trail. Each lap they walk is 1141 \frac{1}{4} miles. If they walk 4 laps, how many miles did they walk?

Solution:

  1. Convert the mixed number to an improper fraction: 114=54 miles1 \frac{1}{4} = \frac{5}{4} \text{ miles}

  2. Multiply the distance of one lap by the number of laps: Total distance=4×54\text{Total distance} = 4 \times \frac{5}{4}

  3. Simplify the expression: 4×54=204=5 miles4 \times \frac{5}{4} = \frac{20}{4} = 5 \text{ miles}

So, Melissa's family walked a total of 5 miles.

Would you like any more details or have any questions?

Relative Questions:

  1. How do you convert a mixed number into an improper fraction?
  2. What other methods could you use to multiply fractions?
  3. If Melissa’s family walked half of a lap more, how many miles would they have walked?
  4. How would the total distance change if each lap was 2122 \frac{1}{2} miles instead?
  5. Can you express the distance of 4 laps as a decimal?

Tip:

When multiplying fractions, always simplify the fractions first if possible to make the multiplication easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication of Fractions
Mixed Numbers

Formulas

Total Distance = Number of Laps × Distance per Lap

Theorems

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Suitable Grade Level

Grades 4-6