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

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1:32 minutes

Problem 173

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 15%

Verified step by step guidance

Start by understanding that a percent is a way of expressing a number as a fraction of 100. So, 15% can be written as \( \frac{15}{100} \).

Next, simplify the fraction \( \frac{15}{100} \) by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 15 and 100 is 5. Divide both the numerator and the denominator by their GCD.

Perform the division: \( \frac{15 \div 5}{100 \div 5} \).

Write the simplified fraction, which is the fraction in its lowest terms.

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Key Concepts

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

Percentages

A percentage represents a fraction out of 100. It is a way to express a number as a part of a whole, making it easier to compare different quantities. For example, 15% means 15 out of every 100, which can be useful in various applications such as finance, statistics, and everyday calculations.

Fractions

A fraction consists of a numerator and a denominator, representing a part of a whole. To convert a percentage to a fraction, you place the percentage value over 100. For instance, 15% can be expressed as 15/100, which can then be simplified to its lowest terms by dividing both the numerator and denominator by their greatest common divisor.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, you divide both the numerator and denominator by their greatest common factor. For example, the fraction 15/100 can be simplified to 3/20, as both 15 and 100 can be divided by 5.