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Fraction Equivalence and Comparison
Lesson 6.1: Investigate: Equivalent Fractions
Lesson: 6.2: Generate Equivalent Fractions
Lesson 6.3: Simplest Form
Lesson 6.4: Common Denominators
Lesson 6.5: Problem Solving: Find Equivalent Fractions
Lesson 6.6: Compare Fractions Using Benchmarks
Lesson 6.7: Compare Fractions
Lesson 6.8: Compare and Order Fractions
A fraction names part of a region or part of a group. The top number of a fraction is called its numerator and the bottom part is its denominator.
So a fraction is the number of shaded parts divided by the number of equal parts as shown below:
number of shaded parts numerator
number of equal parts denominator
Looking at the numbers above, we have:
Example 1
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GCF: Greatest Common Factor
one-fourth
two-fourths
three-fourths
LCM: Least Common Multple:
Find the LCM of 12 and 15.
LCM = 60
Drake rode his bike for three-fourths of a mile and Josh rode his bike for one-fourth of a mile. Which boy rode his bike farther?
Analysis:
Solution:
These fractions have like denominators, so we can compare the numerators.
Since three is greater than one, three-fourths is greater than one-fourth. Therefore, Drake rode his bike farther.
When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator. Let's look at some more examples of comparing fractions with like denominators.
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