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

검증된 단계별 안내

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.

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주요 개념

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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.

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