This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1892 Excerpt: ...denominator. A Common Denominator is a denominator common to two or more fractions. 1. Reduce and to fractions having a common denominator. Operation. Solution.--12 is exactly divisible by 4 l = JL. and 3, and may therefore be taken for a i Jl. 2 g common denominator. Since in 1 there are ' T- J, in of 1 there must be ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1892 Excerpt: ...denominator. A Common Denominator is a denominator common to two or more fractions. 1. Reduce and to fractions having a common denominator. Operation. Solution.--12 is exactly divisible by 4 l = JL. and 3, and may therefore be taken for a i Jl. 2 g common denominator. Since in 1 there are ' T- J, in of 1 there must be of, or T32; and in $ of 1 there must be of l, or T; J and are equal to T and ft. Reduce to common denominators: 2. fand1-. 4. and f. 3.-J-and f. 5. f and . 6. Reduce and to a common denominator. Operation. Solution.--We multiply the terms of the first f rac 5 X 5 = 25 tion by the denominator of the second, and the terms g x K _ QQ of the second fraction by the denominator of the first. This reduces each fraction to the same de3 X 6 = 18 nominator, 30, for each new denominator will be g x g _ Qq the product of the given denominators. Rule. Multiply both terms of each fraction by the denominators of all the other fraction's. Mixed numbers must first he reduced to improper fractions. Reduce to common denominators: 7. and f. Arts. Jf ft 8. and f Ana., j 9. I, and f. Arts., ft ft 10. t, and f Ans. 11. 1, and f.4na., ft ff, 12., 2, and f na. ft&, fft ft$. ADDITION. 95. The denominator of a fraction determines-the value of the fractional unit; hence, 1. If two or more fractions have the same denominator, their numerators express fractional units of the same value. 2. If two or more fractions have different denominators, their numerators express fractional units of different values. And since only units of the same value can he united into one sum, it follows that--3. Fractions can be added only when they have the same fractional unit or common denominator. EXAMPLES. To add fracti...
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