What is 250 percent as a fraction
The correct answer and explanation is:
To convert 250 percent into a fraction, follow these steps:
- Understanding Percent: A percentage represents a value out of 100. Therefore, 250 percent means 250 out of 100, or 250/100.
- Simplifying the Fraction: The fraction 250/100 can be simplified. To do this, find the greatest common divisor (GCD) of 250 and 100. The GCD of 250 and 100 is 50.
- Divide Both the Numerator and Denominator by the GCD: Divide both 250 and 100 by 50. 250100=250÷50100÷50=52\frac{250}{100} = \frac{250 ÷ 50}{100 ÷ 50} = \frac{5}{2}
- Final Answer: The simplified fraction form of 250 percent is 5/2.
Explanation:
The percent sign “%” is shorthand for “per hundred,” meaning that 250 percent is equivalent to 250 out of 100. To express this as a fraction, write it as 250/100. To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 50 in this case. The result is the fraction 5/2.
This fraction indicates that 250 percent is equal to 5/2, or 2.5 in decimal form. When expressing percentages, converting them into fractions can be helpful in mathematical contexts, particularly when dealing with ratios, proportions, or when the number is involved in further algebraic manipulation.
By following this process of dividing by the GCD, the fraction is expressed in its simplest form. This is a crucial step when working with fractions, as it helps avoid unnecessary complexity in calculations or interpretations.