# How to Convert 7.5 Percent to a Fraction

### Definition of Percent

Percent is a way to express a fraction or a ratio out of 100. It is denoted by the symbol “%”. For example, 7.5 percent means 7.5 out of 100.

### Key Facts

1. Definition of percent: Percent is a way to express a fraction or a ratio out of 100. It is denoted by the symbol “%”. For example, 7.5 percent means 7.5 out of 100.
2. Converting percent to a fraction: To convert a percent to a fraction, you can write the percent as a fraction with the percent value as the numerator and 100 as the denominator. Then, simplify the fraction if possible.
3. Simplifying the fraction: To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In the case of 7.5 percent, dividing by 2 gives us 3.75/50. Further simplification can be done by dividing both the numerator and denominator by 25, resulting in the simplest form of 7.5 percent as 3/40.

### Converting Percent to a Fraction

To convert a percent to a fraction, you can write the percent as a fraction with the percent value as the numerator and 100 as the denominator. Then, simplify the fraction if possible.

For instance, to convert 7.5 percent to a fraction, we can write it as:

7.5% = 7.5/100

### Simplifying the Fraction

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In the case of 7.5 percent, dividing by 2 gives us 3.75/50. Further simplification can be done by dividing both the numerator and denominator by 25, resulting in the simplest form of 7.5 percent as 3/40.

Therefore, 7.5 percent as a fraction in its simplest form is 3/40.

### Sources

• https://brainly.com/question/718261
• https://thepercentagecalculator.net/PercentToFraction/What-is-7.5-percent-as-a-fraction.html
• https://www.mathway.com/popular-problems/Algebra/288609

## FAQs

### What is percent?

Percent is a way to express a fraction or a ratio out of 100. It is denoted by the symbol “%”.

### How do I convert 7.5 percent to a fraction?

To convert 7.5 percent to a fraction, write it as a fraction with 7.5 as the numerator and 100 as the denominator: 7.5/100.

### Can I simplify the fraction 7.5/100?

Yes, you can simplify the fraction 7.5/100 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 25. This gives us the simplified fraction 3/40.

### What is 7.5 percent as a fraction in its simplest form?

7.5 percent as a fraction in its simplest form is 3/40.

### How do I use the fraction 3/40 to represent 7.5 percent?

You can use the fraction 3/40 to represent 7.5 percent by saying that 7.5 out of 100 is equal to 3 out of 40.

### Can I use the fraction 3/40 to find a percentage of a number?

Yes, you can use the fraction 3/40 to find a percentage of a number by multiplying the number by 3/40. For example, to find 7.5 percent of 200, you would multiply 200 by 3/40, which gives you 15.

### How is 7.5 percent related to the decimal 0.075?

7.5 percent is related to the decimal 0.075 because they both represent the same value. You can convert 7.5 percent to 0.075 by dividing 7.5 by 100.

### Can I use a percent converter to convert 7.5 percent to a fraction?

Yes, you can use a percent converter to convert 7.5 percent to a fraction. Percent converters are online tools that allow you to enter a percent value and get the equivalent fraction.