76% is between which of the following two numbers 1/5 and 1/4 ,1/3 and 1/2, 2/3 and 7/10 , 3/4 and 5/6?
The correct answer and explanation is:
Correct Answer: 3/4 and 5/6
Explanation (300 words):
To determine between which two fractions 76% lies, we need to convert each fraction into a percentage and compare it to 76%.
Let’s convert all given fractions to percentages:
- 1/5 = 0.20 = 20%
- 1/4 = 0.25 = 25%
- 1/3 ≈ 0.333… = 33.33%
- 1/2 = 0.5 = 50%
- 2/3 ≈ 0.666… = 66.67%
- 7/10 = 0.7 = 70%
- 3/4 = 0.75 = 75%
- 5/6 ≈ 0.833… = 83.33%
Now, compare these values to 76%:
- 76% is greater than 1/5 (20%) and 1/4 (25%) – too low.
- 76% is greater than 1/3 (33.33%) and 1/2 (50%) – still too low.
- 76% is greater than 2/3 (66.67%) and 7/10 (70%) – still less than 76%.
- 76% is greater than 3/4 (75%) and less than 5/6 (83.33%) – this is the correct range.
Thus, 76% falls between 3/4 and 5/6.
Why this matters:
Understanding percentages in terms of fractions helps with quick mental math, estimation, and interpreting data in everyday life. For instance, if a test score is 76%, it helps to know that’s just slightly above 3/4 (75%) and closer to 80% (or 4/5), which gives context to how good the score is. Similarly, in real-world decisions like budgeting, shopping discounts, or voting statistics, recognizing that 76% is closer to 3/4 than 5/6 helps you draw better conclusions quickly.
So, the correct range is:
✅ Between 3/4 and 5/6.