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

Verified step by step guidance

Recall that a percent means 'per hundred,' so 180% can be written as the fraction $ \frac{180}{100} $.

Write the fraction $ \frac{180}{100} $ to represent 180%.

Simplify the fraction by finding the greatest common divisor (GCD) of 180 and 100. The GCD is 20.

Divide both the numerator and the denominator by the GCD 20: $ \frac{180 \div 20}{100 \div 20} = \frac{9}{5} $.

The fraction $ \frac{9}{5} $ is in lowest terms and represents 180% as a fraction.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Understanding Percentages

A percentage represents a part out of 100. Writing 180% means 180 out of 100, or 180/100. Recognizing that 'percent' literally means 'per hundred' is essential for converting percentages to fractions.

Converting Percent to Fraction

To convert a percent to a fraction, write the percentage number over 100. For example, 180% becomes 180/100. This fraction can then be simplified by dividing numerator and denominator by their greatest common divisor.

Simplifying Fractions

Simplifying a fraction involves dividing both numerator and denominator by their greatest common factor to reduce it to lowest terms. For 180/100, dividing both by 20 yields 9/5, the simplest form of the fraction.

Recommended video:

Guided course

05:45

Radical Expressions with Fractions

Related Practice

Textbook Question

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

$2 percent sign$

1013

views

Textbook Question

Write each fraction as a percent.