Exam: Skill #41- Comparing And Ordering Fractions

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.

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.

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.

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.

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.