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

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1:34 minutes

Problem 130

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1/50 Decimal ? Percent 2%

Verified step by step guidance

Step 1: Understand that the problem requires converting a fraction to both a decimal and a percent.

Step 2: To convert the fraction \( \frac{1}{50} \) to a decimal, divide the numerator (1) by the denominator (50).

Step 3: To convert the decimal obtained in Step 2 to a percent, multiply the decimal by 100.

Step 4: Recognize that the percent equivalent is already given as 2%, which can be used to verify the decimal conversion.

Step 5: Ensure that the fraction, decimal, and percent are consistent with each other, confirming the accuracy of the conversions.

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Key Concepts

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

Fraction to Decimal Conversion

To convert a fraction to a decimal, divide the numerator by the denominator. For example, for the fraction 1/50, you would perform the division 1 ÷ 50, which results in 0.02. This method is fundamental in understanding how fractions relate to decimal values.

Decimal to Percent Conversion

To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign. For instance, converting 0.02 to a percent involves calculating 0.02 × 100, which equals 2%. This conversion is essential for expressing values in different formats, particularly in financial and statistical contexts.

Lowest Terms of a Fraction

A fraction is in its lowest terms when the numerator and denominator have no common factors other than 1. For example, the fraction 1/50 is already in its lowest terms because 1 is a prime number and cannot be simplified further. Understanding this concept is crucial for accurately representing fractions.