Table of contents

0. Review of Algebra4h 16m
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 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

1:37 minutes

Problem 184

Textbook Question

Write each fraction as a percent. 9/20

Verified step by step guidance

Start by understanding that to convert a fraction to a percent, you need to multiply the fraction by 100.

Write the fraction \( \frac{9}{20} \) and set up the multiplication: \( \frac{9}{20} \times 100 \).

Simplify the multiplication by first dividing 100 by the denominator 20 to make the calculation easier.

Calculate \( 100 \div 20 \) to find the equivalent whole number that will be multiplied by the numerator.

Multiply the result from the previous step by the numerator 9 to find the percentage.

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Key Concepts

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

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator indicates how many parts are taken and the denominator indicates the total number of equal parts. Understanding fractions is essential for converting them into other forms, such as percentages.

Percentages

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions and is calculated by multiplying the fraction by 100. Knowing how to convert fractions to percentages is crucial for interpreting data and making comparisons.

Conversion Process

The conversion process from a fraction to a percentage involves multiplying the fraction by 100 and adding the percent symbol. For example, to convert 9/20 to a percentage, you would calculate (9 ÷ 20) × 100, which results in 45%. Mastering this process is key to solving problems that require percentage calculations.