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Understanding Fractions, Decimals, and Percents: Conversion Techniques

This instructional guide focuses on the relationship between fractions, decimals, and percents. It aims to equip students with the skills to convert between these numerical formats effectively. By mastering these conversions, learners will find it easier to solve various mathematical problems. The content aligns with California State Standards and emphasizes understanding percentages as parts of a hundred, and finding decimal and percent equivalents of common fractions. Engaging exercises reinforce the concepts and encourage independent practice.

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Understanding Fractions, Decimals, and Percents: Conversion Techniques

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  1. 9-16th grade math Relating Fractions, Decimals, and Percents

  2. Objective • To convert a percent to a fraction or decimal and convert a fraction or a decimal to a percent. • Why? To know how to relate numbers and integers in different ways that will help you to solve problems easier.

  3. California State Standards NS 1.2 (Gr 5): Interpret percents as part of a hundred: find decimal and percent equivalents for common fractions and explain why they represent the same value.

  4. Vocabulary • Percent • A special ratio that compares a number with 100 • Percent = “each hundred” • % = 1 0 0 • 100% = all work is used (1/1 or 100/100 or 5/5, etc.)

  5. How to Change Fractions to Decimals to Percents (and any other way) 1)To convert a fraction to a decimal ... Divide 2) To convert a decimal to a percent … move the decimal 2 spaces to the right. Think of it as moving the decimal point into the % spot. 3) To convert a percent to a fraction … convert % back to a fraction and use place value. Reduce. 4) To convert a decimal to a fraction … use place value and reduce. 5) To convert a fraction to a percent … convert to a decimal then to a percent- moving the decimal two places to the right and place the % symbol. 6) To convert a percent to a decimal … move the % 2 spaces to the left and replace the % symbol with a decimal point (.) • ¾ = .75 • .75 = 75% • 75% = 75/100 = ¾ • .75 = 75/100 = ¾ • ¾ = .75 = 75%

  6. Try It! Complete each table. 1 2 3 4

  7. Objective Review • To convert a percent to a fraction or decimal and convert a fraction or a decimal to a percent. • Why? You now know how to relate numbers and integers in different ways that will help you to solve problems easier. • Both a fraction and decimal can be written as a percent, and a percent can be written as a decimal or as a fraction.

  8. Independent Practice • Complete problems 6-13 • Copy original problem first. • Show all work! • If time, complete Mixed Review: 14-18 • If still more time, work on Accelerated Math.

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