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Transparency 5 Click the mouse button or press the Space Bar to display the answers.
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Example 5-6b Objective Write percents as fractions, and vice versa
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Example 5-6b Vocabulary Percent A ratio that compares a number to 100
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Lesson 5 Contents Example 1Percents as Fractions Example 2Percents as Fractions Example 3Fractions as Percents Example 4Fractions as Percents Example 5Fractions as Percents Example 6Fractions as Percents
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Example 5-1a NUTRITION In a recent consumer poll, 41.8% of the people surveyed said they gained nutrition knowledge from family and friends. What fraction is this? Write in simplest form. 41.8% Write problem Remember: To remove the % sign, must divide by 100 0.418 To make a fraction, put a 1 in the denominator 1 Count the number of place values to the right of the decimal 1/6
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Example 5-1a NUTRITION In a recent consumer poll, 41.8% of the people surveyed said they gained nutrition knowledge from family and friends. What fraction is this? Write in simplest form. 41.8% The are 3 place values 0.418 1 Put 3 zeros in the denominator 1000 If you read the decimal it is four hundred eighteen thousandths Put all the digits to the right of the decimal in the numerator 418 Find the GCF of 418 and 1000 1/6
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Example 5-1a NUTRITION In a recent consumer poll, 41.8% of the people surveyed said they gained nutrition knowledge from family and friends. What fraction is this? Write in simplest form. 41.8% GCF = 2 0.418 1 1000 418 Divide the GCF into the numerator and denominator 2 Answer: Add dimensional analysis of the people 1/6
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Example 5-1b ELECTION In a recent election, 64.8% of registered voters actually voted. What fraction is this? Write in simplest form. Answer: of registered voters 1/6
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Example 5-2a Write as a fraction in simplest form. Percent refers to 100 so put 100 in the denominator Write problem Put in the numerator Answer: Divide numerator by denominator 2/6
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Example 5-2b Write as a fraction in simplest form. Answer: 2/6
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Example 5-3a PRODUCE In one shipment of fruit to a grocery store, 5 out of 8 bananas were still green. Find this amount as a percent. Write the ratio as a fraction Divide numerator by denominator 3/6 0.625 Remember: To change a decimal to a percent, divide by 100 62.5 Add the % sign 62.5 % Answer:
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Example 5-3b HOCKEY During a hockey game, the forward on one of the teams scored 3 goals out of 8 shots taken. Find this amount as a percent. Answer: 37.5% 3/6
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Example 5-4a Write as a percent. Round to the nearest hundredth. Answer: 4/6 Write the fraction Divide numerator by denominator 0.41666 Keep number on display of calculator and write 5 digits to the right of the decimal Remember: To change a decimal to a percent, divide by 100 and round 41.67 Add the % sign 41.67 % Do not round until the answer
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Example 5-4b Write as a percent. Round to the nearest hundredth. Answer: 73.33% 4/6
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Example 5-5a Write as a percent. Answer: 45% 5/6 Write the fraction Divide numerator by denominator 0.45 Remember: To change a decimal to a percent, divide by 100 45 Add the % sign 45 %
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Example 5-5b Answer: 52% Write as a percent. 5/6
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Example 5-6a Write as a percent. Round to the nearest hundredth. Answer: 6/6 Write the fraction Divide numerator by denominator Keep number on display of calculator and write 5 digits to the right of the decimal Do not round until the answer 0.42857 Remember: To change a decimal to a percent, divide by 100 and round 42.86 Add the % sign 42.86 %
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Example 5-6b Write as a percent. Round to the nearest hundredth. Answer: 81.82% * 6/6
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End of Lesson 5 Assignment Lesson 7:5 Fractions, Decimals and Percents 13 - 36 All
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