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#### Study Guide Percentage Mathematics, Grade 6

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PERCENTS What Is a Percent? The term percent refers to a fraction in which the denominator is 100. It is a way to compare a number with 100. Since a dollar is equal to 100 cents, a quarter of a dollar is equal to ¼ of the dollar. If we change the denominator in ¼ to 100, the numerator becomes 25, so a quarter is 25/100 of a dollar or 25 cents. 3/5 n/100 (3/5 x 20/20) =60/100 = 60% 60% is read “60 percent” and represents 60 out of 100. ____________________________________ ¾ n/100 (3/4 x 25/25) = 75/100 = 75% 75% is read “75 percent” and represents 75 out of 100 Percents can be written as fractions, decimals or numbers with the percent sign: 55/100 = 55% = .55 64/100 = 64% = .64 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
How to determine a percent: The percent of a set or value is calculated by multiplying the value by the decimal form of the percent. 45% = .45 76% = .76 32% = .32, etc. Example: If you want to know 60 percent of 70, change 60% to .60 and multiply times 70, as in: .60 X 70 = 42. This means if there were originally 70 pencils in a box and 60% of them were used, 42 pencils are no longer in the box. 55% of 146 = .55 X 146 = 80.30 27 % of 67 = .27 X 67 = 18.09 Fractions, percents, and decimals are connected. They all represent parts of a whole. Each one has its own format, but indicates a portion or part of a larger value. When solving problems, you must decide which form is the most suitable for calculating the answer. Try This! What percent is equal to 3/20? _________________________________ What percent is equal to 34/50? ________________________________ Is the fraction 12/25 equal to 48%? ______________________________ What fraction is equal to 37%? __________________________________ What fraction is equal to 80%? __________________________________ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.