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Mastering Percent Calculations: From Fractions to Decimals and Back

This guide covers essential calculations involving percents, fractions, and decimals. Learn how to convert fractions into decimals by dividing the numerator by the denominator (e.g., 5/9 = 0.55), and convert decimals to percents by moving the decimal place two spots to the right (e.g., 0.683 = 68.3%). Explore methods to find a percent of a number and determine what percent one number is of another. Gain confidence through step-by-step examples and practice problems designed to reinforce your understanding of these concepts.

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Mastering Percent Calculations: From Fractions to Decimals and Back

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  1. 45% 8% 12% Calculations with Percents 36% 90% 10% .7% 64% 85% 57%

  2. Review: • Change a fraction to a decimal: • Divide the numerator by the denominator. • Example: Change 5/9 to a decimal. • 5 ÷ 9 means 9 5.000 • 5/9= 0.55 or 0.56 0.5 5 5 -45 0 5 -45 5 0

  3. Review: • Change a decimal/number to a percent: • Move the decimal two places to the right. (Multiply by 100). • Example: Change 0.683 to a percent. • 0.683(100) = 68.3% • Change a percent to a decimal/number: • Move the decimal two places to the left. (Divide by 100). • Example: Change 3% to a decimal. • 3 ÷ 100 = 0.03

  4. You cannot do any math problems with percents. You must change the percent to a decimal.

  5. Finding a Percent of a Number • What is 25% of 32? • Step 1: Change English to Math. • What is your variable • IS is your = sign • Change your percent to a decimal • OF means multiply • x = .25(32) • Step 2: Decide how to solve the problem, then solve. • x = 8 • 8 is 25% of 32.

  6. Finding the Percent One Number is of Another • What percent of 120 is 90? • Step 1: Change English to math. • What is your variable • OFmeans multiply • ISis your =sign • x(120)=90 • Step 2: Decide how to solve the problem, then solve. • x = 90÷120 = 0.75 • Step 3: Change your answer to a percent. • x = 75% 75% of 120 is 90.

  7. Finding a Number when the Percent is Known • 36 is 4% of what number? • Step 1: Change English to Math. • ISis your = sign • Change your percent to a decimal • OF means multiply • Whatis your variable • 36 = 0.04(x) • Step 2: Decide how to solve the problem, then solve. • 36÷ 0.04 = x • x = 900 • 36 is 4% of 900

  8. Practice: • What number is 44% of 6? • 125 is what percent of 1250? • 32 is 25% of what number? 2.64 10% 128

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