Write each percent as a fraction. Give answers in lowest terms.
$2 percent sign$

Verified step by step guidance

Recall that a percent means 'per hundred,' so 2% can be written as the fraction $ \frac{2}{100} $.

Write the fraction $ \frac{2}{100} $ explicitly to represent 2%.

Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 2 and 100 is 2.

Divide both the numerator and the denominator by the GCD (2) to reduce the fraction to its lowest terms: $ \frac{2 \div 2}{100 \div 2} = \frac{1}{50} $.

Express the final answer as the simplified fraction $ \frac{1}{50} $, which is the fraction form of 2% in lowest terms.

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 Percent

Percent means 'per hundred' and represents a part of 100. For example, 2% means 2 out of 100, or 2/100. Recognizing this helps convert percents into fractions by placing the percent number over 100.

Converting Percents to Fractions

To convert a percent to a fraction, write the percent number as the numerator and 100 as the denominator. For instance, 2% becomes 2/100. This step is essential for expressing percents in fractional form.

Simplifying Fractions to Lowest Terms

After converting to a fraction, simplify it by dividing numerator and denominator by their greatest common divisor (GCD). For 2/100, dividing both by 2 gives 1/50, the fraction in lowest terms.

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.

$180 percent sign$

Textbook Question

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

$15 percent sign$

Textbook Question