Exam: Skill #41- Comparing And Ordering Fractions

1. Compare the following fractions and complete the statement below: and is __________________than .

The fractions are being compared to each other. The word "less" indicates that the first fraction is smaller in value or magnitude compared to the second fraction. The word "smaller" also conveys the same meaning, indicating that the first fraction has a lesser value or is of a smaller magnitude than the second fraction.

Explanation

The fractions are being compared to each other. The word "less" indicates that the first fraction is smaller in value or magnitude compared to the second fraction. The word "smaller" also conveys the same meaning, indicating that the first fraction has a lesser value or is of a smaller magnitude than the second fraction.

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2. Compare the fractions and complete the phrase below:

is ______________ than

.

The phrase "is less than" means that the first fraction is smaller in value than the second fraction. In this case, the word "smaller" is synonymous with "less," reinforcing the idea that the first fraction is of a smaller value compared to the second fraction.

Explanation

The phrase "is less than" means that the first fraction is smaller in value than the second fraction. In this case, the word "smaller" is synonymous with "less," reinforcing the idea that the first fraction is of a smaller value compared to the second fraction.

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3. Compare the following fractions: is ______________________ than .

The correct answer is "greater, bigger, larger". These words are all synonyms and indicate that one fraction is larger in value than the other.

Explanation

The correct answer is "greater, bigger, larger". These words are all synonyms and indicate that one fraction is larger in value than the other.

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4. Order the following fractions from Least to Greatest:

The fractions can be ordered by finding a common denominator and comparing the numerators. In this case, the common denominator is 18. After converting the fractions, we get 6/18, 9/18, 10/18, and 12/18. Comparing the numerators, we can see that 6/18 is the smallest, followed by 9/18, 10/18, and 12/18. Therefore, the fractions can be ordered as 1/3, 1/2, 5/9, and 4/6 from least to greatest.

Explanation

The fractions can be ordered by finding a common denominator and comparing the numerators. In this case, the common denominator is 18. After converting the fractions, we get 6/18, 9/18, 10/18, and 12/18. Comparing the numerators, we can see that 6/18 is the smallest, followed by 9/18, 10/18, and 12/18. Therefore, the fractions can be ordered as 1/3, 1/2, 5/9, and 4/6 from least to greatest.

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5. Order the fractions from GREATEST to LEAST:

The fractions are ordered from greatest to least based on their numerical values. The fraction 7/2 is the largest because it represents a value greater than 3, while the fraction 2/3 is the next largest because it represents a value greater than 0.5. The fraction 3/8 is smaller than both of these fractions because it represents a value less than 0.5, and the fraction 1/4 is the smallest because it represents a value less than 0.5 as well. Therefore, the correct order from greatest to least is 7/2, 2/3, 3/8, 1/4.

Explanation

The fractions are ordered from greatest to least based on their numerical values. The fraction 7/2 is the largest because it represents a value greater than 3, while the fraction 2/3 is the next largest because it represents a value greater than 0.5. The fraction 3/8 is smaller than both of these fractions because it represents a value less than 0.5, and the fraction 1/4 is the smallest because it represents a value less than 0.5 as well. Therefore, the correct order from greatest to least is 7/2, 2/3, 3/8, 1/4.

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