Math Problem Statement
Solution
Let's break down the problem in the image step by step:
Problem:
- George builds section of fence in hour.
- We are asked to find what fraction of the fence George can build per hour.
Solution Approach:
To find the amount of fence George builds per hour, we need to divide the section of fence built () by the time it takes ( hour). This can be expressed as:
When dividing fractions, we multiply by the reciprocal of the divisor. So:
Final Answer:
George builds of a section of the fence per hour.
Would you like further details on this process, or any clarifications?
Follow-up Questions:
- What is the general rule for dividing fractions?
- Can you apply this method to different values of fence sections and time?
- How would this change if George built of the fence in hour?
- What if George built of the fence in of an hour?
- How would you calculate the time needed if George built an entire fence at the same rate?
Tip:
When dividing fractions, remember to multiply by the reciprocal of the second fraction!
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Math Problem Analysis
Mathematical Concepts
Fractions
Division of Fractions
Multiplication of Fractions
Unit Rate
Formulas
Division of fractions: a ÷ b = a × (1/b)
Multiplication of fractions: a/b × c/d = (a × c)/(b × d)
Theorems
Reciprocal Theorem: Division by a fraction is equivalent to multiplying by its reciprocal
Suitable Grade Level
Grade 5-7
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