Find 15% of 325.
The Correct Answer and Explanation is :
To find 15% of 325, we can follow these steps:
- Convert the percentage to a fraction:
15% is equivalent to 15 out of 100, or ( \frac{15}{100} ). - Multiply the fraction by 325:
To find 15% of 325, we multiply 325 by ( \frac{15}{100} ): [
325 \times \frac{15}{100} = \frac{325 \times 15}{100} = \frac{4875}{100}
] - Simplify the fraction:
To simplify ( \frac{4875}{100} ), we find the greatest common divisor (GCD) of 4875 and 100. The GCD is 25. Now, divide both the numerator and denominator by 25: [
\frac{4875 \div 25}{100 \div 25} = \frac{195}{4}
]
Thus, 15% of 325 is ( \frac{195}{4} ).
Explanation:
- Percentage to Fraction: A percentage is a way of expressing a number as a fraction of 100. So, 15% is the same as ( \frac{15}{100} ).
- Multiplying the Fraction: To find a percentage of a number, you multiply the number by the fraction. Here, we multiplied 325 by ( \frac{15}{100} ).
- Simplifying the Fraction: When we get ( \frac{4875}{100} ), it can be simplified by dividing both the numerator and denominator by their GCD. In this case, the GCD of 4875 and 100 is 25, which simplifies the fraction to ( \frac{195}{4} ).
The fraction ( \frac{195}{4} ) is the simplest form, and it represents 15% of 325.