### Contents

 C MIXED NUMBER 103 3 Impossible numbers 111 D INTEGER INTEGRAL NUMBER AND MIXED NUMBER 119 B FRACTION CONSTRUCTIONS 138 12 145 2 Method of presentation 152 16 156 C CONSTRUCTIONS AND ORAL WORK WITH 159 20 162 B QUOTIENT AND FRACTION FORM OF READING PART 166 21 168 C REVIEWS OF Terms and DEFINITIONS 173 CHAPTER XIII 183 C SEAT WORK IN SERIES WITHOUT OBJECTS 189 CHAPTER XV 203 D Seat Work in Series1 Constructions 2 Writ 209 F SERIES FROM MIXED NUMBERS 215 CHAPTER XVI 221 B TRYING TO ESTIMATE VALUES OF OBJECTS 224 CHAPTER XVII 233 B COMMON Denominator of Three or MORE FRACTIONS 248 ADDITION 263 B ADDING MIXED NUMBERS 272 22 275 24 281
 CHAPTER XXI 328 B SEAT WORK WITHOUT OBJECTS 334 B OBJECTIVE WORK 340 C WRITTEN WORK WITHOUT OBJECTS or Diagrams 347 UNEVEN PARTITION 350 B EXERCISES HAVING TWO OR MORE EXTRA UNITS 361 28 368 C MISCELLANEOUS FRACTIONS 369 MULTIPLICATION OF FRACTIONS 386 30 394 B THE MULTIPLIER OR BOTH FACTORS MIXED NUMBERS 396 CHAPTER XXV 406 4 THE CONSTRUCTIONS 414 33 426 35 442 39 471 F MULTIPLICATION 482 CLASSIFIED AND DEFINED 487 DESCENDING ReductionsNATURAL FORM 487 SUGGESTIONS ON SPECIAL MEASURES xiv 487 41 487 49 xxxv B THE DEFINITION DEVELOPED xxxvi 1 Aimto teach that integral partition and frac xl Copyright

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Page 487 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 474 - DIVISION is the process of finding how many times one number is contained in another, or of finding one of the equal parts of a number.
Page 454 - Reduce the fractions to a common denominator ; then subtract the numerator of the subtrahend from the numerator of the minuend, and write the result over the common denominator. EXAMPLES. H ,_, Zx . ^ 3x 1. From -^- subtract — . oo . Eeducing to a common denominator, the fractions become Wx 9x "15...
Page 450 - To reduce a mixed number to an improper fraction, multiply the integer by the denominator of the fraction, add the numerator to the product, and place the result over the denominator.
Page 474 - Invert the terms of the divisor. II. Multiply the numerators together for the numerator of the quotient, and the denominators together for the denominator of the quotient.
Page 450 - When the denominators are not alike, we know that the units are divided into unequal parts, so before adding them we must find a common denominator for the denominators of all the fractions. Reduce the fractions to fractions having this common denominator, add the numerators, and write the sum over the common denominator. In this case, the least common denominator, or the least number that will contain all the denominators, is 16; hence, we must reduce all these fractions to loths and then add their...
Page 32 - Multiply the diameter by 3.1416. To find the diameter of a circle: Divide the circumference by 3.1416. To find the area of a circle : Multiply the square of the diameter by .7854 Or, multiply the circumference by one-half the radius. Or, multiply the square of the radius by 3.1416.
Page 437 - J n cm me An examination of each of these examples, will show that the process consists in reducing the quantities to a common denominator, and then dividing the numerator of the dividend, by the numerator of the divisor. But, as the common denominator of the fraction is not used in performing the division, the result will be the same as if we invert the divisor, and proceed as in multiplication. Hence, the RULE, FOR DIVIDING AN INTEGRAL OR FRACTIONAL QUANTITY BY A FRACTION.
Page 450 - A. DECIMAL FRACTION is a fraction whose denominator is some power of ten.
Page 125 - A FRACTION is one or more than one of the equal parts of a unit.