Four vulgar fractions that is greater than 1/2 and less than 3/4
The correct answer and explanation is:
Here are four vulgar fractions (i.e., common fractions) greater than 1/2 and less than 3/4:
- 3/5
- 5/8
- 2/3
- 11/16
✅ Explanation (300 words):
Vulgar fractions are simple fractions expressed as one whole number over another, such as 1/2, 3/4, 5/8, etc. To solve this question, we need to find fractions that are greater than 1/2 but less than 3/4.
Let’s first understand what 1/2 and 3/4 mean on a number line.
- 1/2 = 0.5
- 3/4 = 0.75
So, we are looking for fractions that are between 0.5 and 0.75.
To find such fractions, we can:
- Choose fractions with different denominators.
- Convert each to a decimal to check if it falls between 0.5 and 0.75.
Let’s verify the four given answers:
- 3/5 = 0.6 → ✅ between 0.5 and 0.75
- 5/8 = 0.625 → ✅ between 0.5 and 0.75
- 2/3 ≈ 0.666… → ✅ between 0.5 and 0.75
- 11/16 ≈ 0.6875 → ✅ between 0.5 and 0.75
All four fractions meet the criteria. They are vulgar fractions, and their decimal equivalents lie strictly between 0.5 (1/2) and 0.75 (3/4).
This exercise is useful for improving number sense and understanding how to compare fractions by:
- Finding common denominators
- Converting to decimals
- Using number line reasoning
In real-world situations, comparing fractions helps in recipes, measurements, and budgeting, where exact amounts matter.
To explore further, other examples could include 7/12, 9/14, or 13/20, provided their decimal equivalents lie between 0.5 and 0.75.
So, in summary, 3/5, 5/8, 2/3, and 11/16 are valid and correct vulgar fractions that fall in the specified range.