Write each percent as a fraction. Give answers in lowest terms.
$8\%$

Verified step by step guidance

1. Recall that a percent means 'per hundred,' so 8% can be written as the fraction \( \frac{8}{100} \).
2. Write the fraction \( \frac{8}{100} \) explicitly to represent 8%.
3. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 8 and 100 is 4.
4. Divide both the numerator and the denominator by the GCD 4: \( \frac{8 \div 4}{100 \div 4} = \frac{2}{25} \).
5. Express the final answer as the simplified fraction \( \frac{2}{25} \), which is the fraction form of 8% in lowest terms.

Key Concepts

Understanding Percentages

A percent represents a part out of 100. Writing 8% means 8 parts out of 100, which can be expressed as the fraction 8/100. Recognizing this relationship is essential for converting percents to fractions.

Converting Percents to Fractions

To convert a percent to a fraction, write the percent number over 100 and simplify if possible. For example, 8% becomes 8/100, which can then be reduced to its simplest form by dividing numerator and denominator by their greatest common divisor.

Simplifying Fractions

Simplifying fractions involves dividing the numerator and denominator by their greatest common divisor (GCD) to express the fraction in lowest terms. For 8/100, the GCD is 4, so dividing both by 4 gives 2/25, the simplest form.