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Converting Between Fractions, Percents, and Decimals: A Step-by-Step Guide

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Master the essential skills of converting fractions, percents, and decimals with our comprehensive guide. Learn how to convert a fraction to a percent by using the formula (Numerator ÷ Denominator) x 100, and explore the steps for converting between percentages and decimals. Discover easy examples, like converting 50% to a fraction and 0.08 to a percent. Understand the importance of moving the decimal point for accurate conversions. This resource is perfect for students and anyone looking to strengthen their math skills.

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Converting Between Fractions, Percents, and Decimals: A Step-by-Step Guide

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  1. Warm Up • 2 4 x 6 3 5 8 • 1 9 ÷ 3 4 10 7

  2. Converting Fractions, Percents, & Decimals

  3. Fraction Percent • (Numerator ÷ Denominator) x 100 • Example: 3 (3 ÷ 4) x 100 = • 4 5 6

  4. Percent Fraction STEPS: 1) Percent becomes the numerator 2) Denominator is ALWAYS 100 (when % is a whole #) 3) Reduce • Example: 50% 50 1 • 100 2 93%

  5. Percent Decimal • Move the decimal 2 places to the LEFT **In a whole #, the decimal is always to the far right** Example: 54 % .54 22 %

  6. Decimal Percent • Move the decimal 2 places to the RIGHT • Example: 0.08 8 % 2.567

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