The tutorial provides an introduction to percentages, which are essentially fractions with a denominator of 100.
The percent symbol (%) is used to denote percentages.
Example: Scoring 75 on a test out of 100 questions is equivalent to 75%.
What is a Percent?
Percent is a way of expressing a number as a fraction of 100.
Converting Percentages
Example 1: Convert 55% to a Fraction
Step 1: Represent 55% as a fraction with a denominator of 100 (55/100).
Step 2: Reduce the fraction to its lowest terms by dividing both numerator and denominator by 5.
Result: The simplified fraction is 11/20.
Example 2: Convert 55% to a Decimal
Step 1: Represent 55% as a fraction with a denominator of 100 (55/100).
Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator, which is the same as moving the decimal point two places to the left.
Result: The decimal is 0.55.
Example 3: Convert 0.25 to a Percent
Step 1: Multiply the decimal by 100% (0.25 x 100%).
Step 2: Simplification involves moving the decimal point two places to the right.
Result: The percentage is 25%.
Example 4: Convert 42/60 to a Percent
Step 1: Convert the fraction to a decimal by dividing the numerator by the denominator (42/60).
Step 2: Simplify the decimal to 0.7.
Step 3: Multiply the decimal by 100% (0.7 x 100%).
Result: The percentage is 70%.
Resources
Summary and Worksheet:
A summary PDF is available to review this topic, which includes examples.
A worksheet PDF contains practice questions and answers to test understanding.
Navigation
Previous Topic: Decimals and Rounding
Next Topic: Simple Operations with Percent
Additional Information
This tutorial is part of "Prealgebra" by Lynn Marecek & Mary Anne Anthony-Smith, licensed under CC BY 4.0.
Always refer to your professor's instructions if they differ from the material provided.
Contact Information
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