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Understanding Percents and Fractions: Definitions and Conversions

This guide explains the concepts of percents and fractions, highlighting their definitions, comparisons, and conversion methods. A percent is a ratio that compares a number to 100, meaning "per 100". For example, 49 out of 100 is written as 49%. Learn how to convert percents into fractions by placing the percent number over 100 and simplifying. Additionally, discover how to express fractions as percents by creating a proportion with a denominator of 100, or by dividing the numerator by the denominator and converting the result to a percent.

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Understanding Percents and Fractions: Definitions and Conversions

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  1. Percents and Fractions

  2. Vocabulary • A percent is a ratio that compares a number to 100. It means “per 100.” • 49 out of 100 is 49%.

  3. Writing Percents as Fractions • Place the percent in a fraction with a denominator of 100. • Simplify the fraction. 26% 26 13 100 50 75 3 75% 100 4

  4. Writing Fractions as Percents • Write a proportion with a denominator of 100 if possible (easiest way). Then write as a percent. OR • Divide the numerator by the denominator to get a decimal. Then change the decimal to a percent by moving the decimal point to the right (multiply by 100). ? 6 24% 25 100

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