Math Problem Statement
Solution
This is a number line that appears to show fractions and mixed numbers placed at appropriate intervals.
Explanation of Key Points:
-
Fractions and Mixed Numbers:
- Fractions like , , and mixed numbers like are placed along the number line.
- is equivalent to , and is equal to , so these fractions/mixed numbers are aligned correctly on the number line.
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Intervals:
- The intervals between whole numbers , , , etc., are divided into smaller, equal parts, representing the fractions.
-
Placement:
- is between and .
- is halfway between and .
- is between and .
Let me know if you'd like further breakdown or clarification!
Related Questions:
- How do you convert improper fractions to mixed numbers?
- What are the steps to find the equivalent decimal value of these fractions?
- How are intervals on the number line divided to accommodate fractions?
- Why is equal to ?
- How can fractions be simplified when placed on a number line?
Tip:
When working with fractions on a number line, always simplify them first or convert them to mixed numbers for clarity!
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Math Problem Analysis
Mathematical Concepts
Number Lines
Fractions
Mixed Numbers
Simplification of Fractions
Formulas
Improper fraction to mixed number: \( \text{Mixed Number} = \frac{\text{Numerator}}{\text{Denominator}} \)
Simplification: \( \frac{a}{b} = c \text{ if } a = b \cdot c \)
Theorems
Equality of Fractions: \( \frac{16}{8} = 2 \) based on \( a = b \cdot c \)
Suitable Grade Level
Grades 4-6
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