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Fractions, Decimals, and Percents

Learn to convert percentages to fractions, decimals, and vice versa while simplifying forms in Course 3 Lesson 6-1. Topics include mixed numbers, division, and the basics of percentages.

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Fractions, Decimals, and Percents

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  1. Write the percent as a fraction with a denominator of 100. 115 100 115% = 115 ÷ 5 100 ÷ 5 23 20 = = Write the fraction in simplest form. COURSE 3 LESSON 6-1 Fractions, Decimals, and Percents Write each percent as a fraction in simplest form. a. 115% 6-1

  2. 1 2 62 Write the percent as a fraction with a denominator of 100. 1 2 62 % = 100 1 2 = Rewrite the fraction as division. 62 ÷ 100 1 2 125 2 Write the mixed number as an improper fraction. = ÷ 100 125 2 1 100 = • Multiply by the reciprocal of 100. 125 200 Simplify. = 125 ÷ 25 200 ÷ 25 5 8 Write the fraction in simplest form. = = COURSE 3 LESSON 6-1 Fractions, Decimals, and Percents continued. b. 62 % 6-1

  3. 8.7% = 0.08.7 ÷ 100 Move the decimal point two places to the left. Remove the percent sign. = 0.087 COURSE 3 LESSON 6-1 Fractions, Decimals, and Percents A brand of cereal supplied 8.7% of the RDA of sodium. Write this portion of the RDA as a decimal. So, 8.7% is equivalent to 0.087. 6-1

  4. 2 25 0.08; 1 5 20%; COURSE 3 LESSON 6-1 Fractions, Decimals, and Percents 3 8 1. Write as a decimal and as a percent. 2. Write 8% as a decimal and as a fraction in lowest terms. 3. Write 0.2 as a percent and as a fraction in lowest terms. 4. A cereal supplies 35% of the RDA for calcium. Write 35% as a decimal. 0.375; 37.5% 0.35 6-1

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