Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

Previous problemNext problem

1:18 minutes

Problem 176

Textbook Question

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

Verified step by step guidance

Start by understanding that a percent is a way of expressing a number as a fraction of 100. So, 8% means 8 out of 100.

Write the percent as a fraction: \( \frac{8}{100} \).

To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 8 and 100 is 4.

Divide both the numerator and the denominator by their GCD: \( \frac{8 \div 4}{100 \div 4} \).

Simplify the fraction to its lowest terms: \( \frac{2}{25} \).

Verified video answer for a similar problem:

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

Video duration:

Play a video:

Was this helpful?

Key Concepts

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

Percent

A percent is a way of expressing a number as a fraction of 100. The term 'percent' comes from the Latin phrase 'per centum,' meaning 'by the hundred.' For example, 8% means 8 out of every 100, which can be represented as the fraction 8/100.

Simplifying Fractions

Simplifying a fraction involves reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1. This is done by dividing both the numerator and denominator by their greatest common divisor (GCD). For instance, the fraction 8/100 can be simplified by dividing both by 4, resulting in 2/25.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator are coprime, meaning they share no common factors other than 1. This ensures that the fraction is expressed in its simplest form, making it easier to understand and use in calculations. For example, 2/25 is in lowest terms, while 8/100 is not.