Write each percent as a fraction. Give answers in lowest terms. 180%

Verified step by step guidance

1. Start by understanding that a percent is a part per hundred, so 180% means 180 per 100.
2. Write 180% as a fraction: $\frac{180}{100}$.
3. Simplify the fraction by finding the greatest common divisor (GCD) of 180 and 100.
4. The GCD of 180 and 100 is 20, so divide both the numerator and the denominator by 20.
5. This will give you the fraction in its lowest terms.

Key Concepts

Percentages

A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100, or 50/100. Understanding percentages is crucial for converting them into fractions, as it provides the basis for the relationship between the two forms.

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number). To convert a percentage to a fraction, you place the percentage value over 100 and simplify it to its lowest terms. For instance, 180% can be written as 180/100.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, you divide both the numerator and denominator by their greatest common divisor (GCD). For example, the fraction 180/100 can be simplified by dividing both by 20, resulting in 9/5, which is in lowest terms.