Math Problem Statement

Jorge can mow one lawn in 3/4 hour. How many lawns can he mow in 3 3/4 hours?

Solution

To determine how many lawns Jorge can mow in 3 3/4 hours, we can approach the problem by dividing the total time he has by the time it takes him to mow one lawn.

Step-by-Step Solution:

  1. Convert the mixed number into an improper fraction: 334=154 hours3 \frac{3}{4} = \frac{15}{4} \text{ hours}

  2. Divide the total time by the time it takes to mow one lawn: Number of lawns=15434=154×43=15×44×3=6012=5\text{Number of lawns} = \frac{\frac{15}{4}}{\frac{3}{4}} = \frac{15}{4} \times \frac{4}{3} = \frac{15 \times 4}{4 \times 3} = \frac{60}{12} = 5

Conclusion:

Jorge can mow 5 lawns in 3 3/4 hours.

Would you like more details on this, or do you have any questions?

Here are some related questions:

  1. How long will it take Jorge to mow 7 lawns?
  2. If Jorge works for 5 1/2 hours, how many lawns can he mow?
  3. What fraction of a lawn can Jorge mow in 1/2 hour?
  4. How much time would Jorge need to mow 8 lawns?
  5. If Jorge mows 2 lawns per hour, how many lawns can he mow in 6 hours?

Tip: When dividing fractions, remember to multiply by the reciprocal of the divisor.

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Math Problem Analysis

Mathematical Concepts

Fractions
Division of Fractions
Multiplication of Fractions

Formulas

Division of fractions: a/b ÷ c/d = a/b × d/c
Multiplication of fractions: a/b × c/d = (a × c)/(b × d)

Theorems

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Suitable Grade Level

Grades 5-6