The Correct Answer and Explanation is:
90%
To express the fraction 54/60 as a percent, we are essentially trying to find its equivalent value out of a total of 100. The word “percent” literally means “per hundred.” There are a couple of common methods to perform this conversion.
The most direct method is to first divide the numerator by the denominator and then multiply the result by 100.
- Divide the numerator by the denominator:
54 ÷ 60 = 0.9 - Multiply the decimal by 100:
0.9 × 100 = 90
So, 54/60 is equal to 90%.
An alternative method, which can sometimes make the math simpler, is to first simplify the fraction. We can find the greatest common divisor of both 54 and 60, which is 6. By dividing both the top and bottom of the fraction by 6, we can simplify it.
- 54 ÷ 6 = 9
- 60 ÷ 6 = 10
This reduces the fraction to 9/10. Now, we can convert this simpler fraction to a percentage. We want to find an equivalent fraction with a denominator of 100. To change the denominator from 10 to 100, we multiply by 10. We must do the same to the numerator to keep the fraction’s value unchanged.
- (9 × 10) / (10 × 10) = 90/100
Since a percentage is a number out of 100, the fraction 90/100 directly translates to 90%. Both methods confirm that 54/60 is equivalent to 90%. This means that 54 is 90 percent of 60.
