What is .24 as a percent and fraction?
The Correct Answer and Explanation is:
To convert 0.24 into a percent and a fraction, we need to follow specific steps for each.
1. Converting 0.24 to a Percent:
A percent represents a value out of 100. To convert a decimal to a percentage, you multiply the decimal by 100.
Steps:
- 0.24 × 100 = 24
So, 0.24 as a percent is 24%. This means that 0.24 is equivalent to 24 out of 100, or 24%.
2. Converting 0.24 to a Fraction:
To convert a decimal into a fraction, you can treat the decimal as a fraction with a denominator of 100. The decimal 0.24 can be written as 24/100.
However, this fraction can often be simplified. To simplify 24/100, we need to find the greatest common divisor (GCD) of 24 and 100. The GCD of 24 and 100 is 4.
Now, divide both the numerator (24) and the denominator (100) by their GCD:
- 24 ÷ 4 = 6
- 100 ÷ 4 = 25
So, 24/100 simplifies to 6/25.
Conclusion:
- 0.24 as a percent is 24%.
- 0.24 as a fraction is 6/25.
This shows how the decimal 0.24 can be represented as a percent (24%) and a simplified fraction (6/25). Both conversions are standard methods in mathematics to express a decimal value in different forms.
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