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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1:37 minutes

Problem 137

Textbook Question

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

Verified step by step guidance

Step 1: Understand that the problem is asking to find the fraction and decimal equivalents of the given percent, which is 50%.

Step 2: Recall that a percent is a way of expressing a number as a fraction of 100. Therefore, 50% can be written as \( \frac{50}{100} \).

Step 3: Simplify the fraction \( \frac{50}{100} \) by finding the greatest common divisor (GCD) of 50 and 100, which is 50.

Step 4: Divide both the numerator and the denominator of \( \frac{50}{100} \) by their GCD, 50, to get the fraction in its lowest terms.

Step 5: Convert the simplified fraction to a decimal by dividing the numerator by the denominator.

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Key Concepts

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

Fraction Basics

A fraction represents a part of a whole and is expressed as a ratio of two integers, with the numerator (top number) indicating how many parts are taken and the denominator (bottom number) showing the total number of equal parts. To express a fraction in its lowest terms, one must divide both the numerator and denominator by their greatest common divisor (GCD).

Decimal Representation

Decimals are another way to represent fractions, particularly those with denominators that are powers of ten. The decimal equivalent of a fraction is found by dividing the numerator by the denominator. For example, the fraction 1/2 converts to 0.5 in decimal form, which is useful for calculations and comparisons.

Percentages

A percentage is a way of expressing a number as a fraction of 100, denoted by the symbol '%'. To convert a decimal to a percentage, multiply the decimal by 100. For instance, 0.5 as a decimal is equivalent to 50% when expressed as a percentage, indicating that it represents half of a whole.

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7:39m