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Questions and Answers
How do you compare fractions with unlike denominators?
How do you compare fractions with unlike denominators?
- Divide the numerators and denominators by the same number
- Convert them to equivalent fractions with the same denominator (correct)
- Find the greatest common factor
- Multiply the numerators and denominators together
What is the lowest common denominator for 5/6 and 3/8?
What is the lowest common denominator for 5/6 and 3/8?
- 24 (correct)
- 30
- 18
- 12
What is the equivalent fraction of $\dfrac{5}{6}$ with a denominator of 24?
What is the equivalent fraction of $\dfrac{5}{6}$ with a denominator of 24?
- $\dfrac{10}{12}$
- $\dfrac{15}{18}$
- $\dfrac{25}{30}$
- $\dfrac{20}{24}$ (correct)
What is the equivalent fraction of $\dfrac{3}{8}$ with a denominator of 24?
What is the equivalent fraction of $\dfrac{3}{8}$ with a denominator of 24?
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How do you compare fractions after converting them to equivalent fractions with the same denominator?
How do you compare fractions after converting them to equivalent fractions with the same denominator?
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Study Notes
Comparing Fractions with Unlike Denominators
- To compare fractions with unlike denominators, find the lowest common denominator (LCD) of both fractions.
- The LCD is the least common multiple (LCM) of the denominators.
Finding the Lowest Common Denominator (LCD)
- The LCD of 5/6 and 3/8 is 24.
Equivalent Fractions with the Same Denominator
- The equivalent fraction of 5/6 with a denominator of 24 is 20/24.
- The equivalent fraction of 3/8 with a denominator of 24 is 9/24.
Comparing Fractions with the Same Denominator
- Compare fractions with the same denominator by comparing their numerators: the larger fraction has the larger numerator.
- In this case, 20/24 is greater than 9/24.
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