5 What is the unit of a fraction? 6 What is a fractional unit? 7 May the fractional unit become the base of a collection? 8 What is a fraction? 9 How are fractions expressed? 10 What is the lower number called, and what does it show? 11 What is the upper number called, and what does it show? 12 In the fraction & what is the fractional base? 13 66 66 66 66 primary base? 14 What is the primary base of every fraction? 15 If a second unit be divided into the same number of equal parts, may the parts be expressed with those of the first? 16 How many units have to be divided to obtain ? 17 How may a whole number be expressed fractionally? 18 Does this change the value of the number? 19 Into how many classes are common fractions divided? 20 What is a proper fraction? Give examples. 21 What is an improper fraction? Why improper? Give examples. 22 What is a simple fraction? Give examples. 66 66 25 What is a mixed number? 26 What is meant by the terms of a fraction? 27 How many terms has a fraction? 28 Repeat the six propositions given in common fractions? From P. 113 to P. 116. REDUCTION OF FRACTIONS. 1 What is reduction of fractions? P. 117. 2 When is a fraction in its lowest terms? 3 How do you reduce a fraction to its lowest terms? 4 Reduce 108 to its lowest terms. 664 20 5 How do you reduce an improper fraction to a whole or mixed number? 6 Reduce 4976 to a whole or mixed number? 224 7 How do you reduce a mixed number to an improper fraction? 8 Reduce 393 to an improper fraction. 9 Place four sevens in such a manner that they shall express the number 78. 10 By means of threes write a number that is equal to 334. 11 How do you reduce a whole number to a fraction having a given denominator? 12 Reduce 325 to a fraction whose denominator shall be 75. 13 What is a compound fraction? 14 How do you reduce a compound fraction to a simple one? 15 Reduce 3 of 5 of 32 of 49 to a simple fraction. 16 How do you reduce fractions of different denominators to fractions having a common denominator? 12 17 Reduce 21, 5, and 4 to a common denominator. 18 What is the least common denominator of two or more fractions? 19 How do you find the least common denominator of two or more fractions? 36 36 20 Reduce 5, 6, and to their least common denominators. 14 2 21 Reduce 45, 12%, and to their least common denominators. 22 Reduce 151, 1, 1, 1% of §, and of 2 to a common denominator. ADDITION OF COMMON FRACTIONS. 1 What is the sum of two or more fractions? P. 124. 2 What is addition of fractions? 3 How do you add fractions which have the same unit? 4 What is the sum of two fractions equal to, when each numerator is equal to one? 5 Add and, and, and, and 7 How do you add fractions having different units? ៖ 33 8 Add of of a mile, of a furlong, 4 of a rod, and of a foot. Ans. 3 fur. 2 ft. 6 in. 25 2 9 Add of a common year, of a week, of of an hour. a day, and Ans. 2 wks. 4 das. 7 hrs. 49 ms. SUBTRACTION OF COMMON FRACTIONS. 1 What is the difference of two fractions? P. 129. 2 What is subtraction of common fractions? 3 How do you subtract when the fractions have the same unit? 4 What is the difference between the sum of 54% and 5611, and the sum of 431} and 34 ? Ans. 33. 5 What is the difference of two fractions whose numerators are each 1? 7 How do you subtract one mixed number from another? 8 Subtract from 2875, 104. 9 How do you subtract when fractions have different units? 10 From of a yard take of an inch. 11 A pound avoirdupois is equal to 14 oz. 11 pwt. 16 grs. troy; what is the difference, in troy weight, between the ounce avoirdupois and the ounce troy? Ans. 1 pwt., 18 grs. MULTIPLICATION OF COMMON FRACTIONS. 1 What is multiplication of fractions? P. 133. 2 How do you multiply one fraction by another? 3 What part of the multiplicand do you take when the multiplier is less than 1? 4 Does multiplication always imply increase? 5 What do you do when either factor is a whole number? 6 Multiply by 8; 28 by. 7 A owned of his share to B, of 200 acres of land, and sold who sold of what he bought to C, how many acres had each? Art. 135, Ex. 61. DIVISION OF COMMON FRACTIONS. 1 What is division of common fractions? P. 137. 2 How do you divide fractions? 3 What do you do when either the dividend or divisor is a whole number? 4 What do you do when either term of the fraction is a mixed number? 5 If the terms of the dividend are exactly divisible by the corresponding terms of the divisor, how do you find the quotient? 6 Divide by 5; 14 by 4; 12 by 48. 8 If of of a barrel of flour will last a family one week, how long will 9 barrels last them? REDUCTION OF COMPLEX FRACTIONS. 1 What is a complex fraction? P. 141. 2 How do you reduce a complex fraction to a simple one? of 7,3 3 Reduce of 173 to a simple fraction? |