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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1:51 minutes

Problem 159

Textbook Question

Write each percent as a decimal. 6 1/4%

Verified step by step guidance

Convert the mixed number \(6 \frac{1}{4}\%\) into an improper fraction. To do this, multiply the whole number 6 by the denominator 4, then add the numerator 1. This gives you \(\frac{25}{4}\%\).

To convert a percentage to a decimal, divide the percentage by 100. So, divide \(\frac{25}{4}\) by 100.

Simplify the division by multiplying \(\frac{25}{4}\) by \(\frac{1}{100}\).

This results in \(\frac{25}{400}\).

Simplify the fraction \(\frac{25}{400}\) by finding the greatest common divisor of 25 and 400, and divide both the numerator and the denominator by this number.

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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 of 100. It is a way to express a number as a part of a whole, making it easier to compare relative sizes. For example, 25% means 25 out of 100, or 25/100. Understanding percentages is crucial for converting them into decimals.

Fractions

A fraction consists of a numerator and a denominator, representing a part of a whole. In the case of 6 1/4%, the '1/4' indicates a fractional part that needs to be converted into a decimal for accurate calculations. Mastery of fractions is essential for performing operations involving percentages.

Decimal Conversion

Converting a percentage to a decimal involves dividing the percentage by 100. For instance, to convert 6 1/4% to a decimal, first convert the fraction to a decimal (1/4 = 0.25), then add it to 6, resulting in 6.25. Finally, divide by 100 to get 0.0625. This process is fundamental in various mathematical applications.