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Additional info for A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers

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Method 1. 10 ϭ 2 ؒ 5 21 ϭ 3 ؒ 7 28 ϭ 2 ؒ 2 ؒ 7 The LCD is 2 ؒ 2 ؒ 3 ؒ 5 ؒ 7 ϭ 420. Step 1. 2 ) 10 21 28 Step 2. 7) 5 21 5 3 14 2 Step 3. The LCD is 2 ؒ 7 ؒ 5 ؒ 3 ؒ 2 ϭ 420. indd 17 or Answers to PROBLEMS 227 59 } 9. } 168 or 1168 97 1} 420 12/12/07 1:35:57 PM 18 Chapter R Prealgebra Review R-18 EXAMPLE 10 Application: Operations with fractions How many total cups of water and oat bran should be mixed to prepare 3 servings? ) SOLUTION a total of 3 We need 3}4 cups of water and 1}12 cups of oat bran, 3 1 } 3} 4 ϩ 12 cups.

829 93. 003 94. 008 95. 00 96. 1 UGV for more lessons 87. 05 Converting Fractions and Percents In Problems 97–106, write the given percent as a reduced fraction. 97. 30% 98. 40% 99. 6% 100. 2% 101. 7% 102. 19% 1 103. 4} 2% 1 104. 2} 4% 1 105. 1} 3% 2 106. 5} 3% 3 110. } 50 7 114. } 8 In Problems 107–116, write the given fraction as a percent. 3 107. } 5 4 108. } 25 1 109. } 2 5 111. } 6 1 112. } 3 4 113. } 8 4 115. } 3 7 116. } 6 UHV Rounding Numbers In Problems 117–126, round each number to the specified number of decimal places.

Thus, 20 1 1 ϫ 20 } } 55} 5 ϫ 20 5 100 5 20% Similarly, 75 3 3 ϫ 25 } 5 } 5 } 5 75% 4 4 ϫ 25 100 Note that in both cases the denominator of the fraction was a factor of 100. EXAMPLE 13 Write as a percent: SOLUTION Converting fractions to percents PROBLEM 13 3 4 } 5 Write as a percent: }5 20 We multiply by } 20 to get 100 in the denominator. 80 4 4 ϫ 20 } } 5ϭ} 5 ϫ 20 ϭ 100 ϭ 80% In Example 13 the denominator of the fraction, }54 (the 5), was a factor of 100. Suppose we wish to change }16 to a percent.

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A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers by Euler L.


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