(7.) Divide 987 by 64.1 to 4 places of decimals. 64.1) 987 (.0153 ANSWER. By dividing by 56 at once we get the 56th part of the dividend, and by dividing by 8 we get the 8th part; and then taking the 7th part of that, we have the 56th part of the whole, because 8 × 7=56. Multiply the quotient by the divisor, adding in the remainder, if there be any: the product should be the same as the dividend. (28.) 32572 ÷ 34. (41.) 469.57.25. (42.) 3040.1 23.7. In such examples as these get four decimal places in the quotient, unless otherwise specified. (43.) 47.5826.175. (44.) .34128.4736. (55.) If forty-nine thousand and six pence have to be divided among one hundred and seven people, how many will each get? (56.) If a man have to walk four thousand and eleven miles in twenty-one days, how far must he go each day? PART II. FRACTIONS. 25. A fraction is part or parts of a unit. If we take a line, for instance, and divide it into any number of equal parts, as six |_|| | ||│, and take one, two, three, &c. of those parts, we shall have so 1 2 3 many fractions, represented; thus 6' 6' 6' &c. The number below the line is the denominator, and shews into how many parts unity is divided; the number above the line, the numerator, and shews how many of such parts are taken. A proper fraction is one whose numerator is less than its denominator, as 1 2 3 6' 6' 6' An improper fraction is one whose numerator is equal to, or greater than, its denominator, as 6 6 6 7 where it is plain that represents the whole of a thing, or unity, 7 6 6 1 and is the same as and or 1 and 6 6' 1 A mixed number is composed of a whole number and a 1 A compound fraction is a fraction of a fraction; as 1 1 of which is plainly and is the same as X 4' 2 C |