Math Problem Statement

What is the correct answer

What is the correct answer?

Solution

The problem in the image is a proportion problem, where we are given that 14\frac{1}{4} inch represents 1 meter, and we are asked to find how many meters 5 inches represents.

Solution Steps:

  1. Write the proportion:
    We can set up the proportion based on the relationship between inches and meters: 14 inch1 meter=5 inchesx meters\frac{\frac{1}{4} \text{ inch}}{1 \text{ meter}} = \frac{5 \text{ inches}}{x \text{ meters}} Here, xx is the number of meters corresponding to 5 inches.

  2. Convert fraction to decimal:
    14=0.25\frac{1}{4} = 0.25. So, the proportion becomes: 0.251=5x\frac{0.25}{1} = \frac{5}{x}

  3. Solve for xx:
    Now, solve the proportion: 0.25×x=50.25 \times x = 5 x=50.25=20x = \frac{5}{0.25} = 20

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:

  1. How do you convert between different units using proportions?
  2. What is the relationship between decimals and fractions, and how do you convert between them?
  3. How can you solve proportion problems with variables in both the numerator and denominator?
  4. How can cross-multiplication help in solving proportions?
  5. 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