Math Problem Statement
What is the correct answer
Solution
The problem in the image is a proportion problem, where we are given that inch represents 1 meter, and we are asked to find how many meters 5 inches represents.
Solution Steps:
-
Write the proportion:
We can set up the proportion based on the relationship between inches and meters: Here, is the number of meters corresponding to 5 inches. -
Convert fraction to decimal:
. So, the proportion becomes: -
Solve for :
Now, solve the proportion:
So, 5 inches represents 20 meters.
Let me know if you'd like further details or clarification!
Here are some related questions you could explore:
- How do you convert between different units using proportions?
- What is the relationship between decimals and fractions, and how do you convert between them?
- How can you solve proportion problems with variables in both the numerator and denominator?
- How can cross-multiplication help in solving proportions?
- What is the importance of unit conversion in real-world applications?
Tip: Always check your units when solving proportion problems. The units must be consistent on both sides for the math to work correctly.
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Math Problem Analysis
Mathematical Concepts
Proportions
Unit Conversion
Fractions to Decimals
Formulas
Proportion formula: (a/b) = (c/d)
Theorems
Cross-multiplication in proportions
Suitable Grade Level
Grades 7-9
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