Practice Objectives
- Demonstrate the ability to determine the relationship between two fractions
- Demonstrate the ability to compare and order two or more fractions
Practice Comparing & Ordering Fractions
Instructions:
Answer 7/10 questions correctly to pass.
Problem:
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Comparing Fractions with unlike denominators:
- When the numerators are equal, the fraction with the smaller denominator is larger
- When the numerators are not equal:
- Find the cross products:
- Multiply the denominator of the left fraction by the numerator of the right fraction
- Multiply the denominator of the right fraction by the numerator of the left fraction
- The numerator from the larger product belongs to the larger fraction
- The numerator from the smaller product belongs to the smaller fraction
- If the cross products are equal, the fractions are equal
Ordering Fractions:
- Find the LCD of all denominators
- Change each fraction into an equivalent fraction where the LCD is its denominator
- Compare numerators in pairs:
- The larger numerator belongs to the larger fraction
- The smaller numerator belongs to the smaller fraction
Step-by-Step:
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