Elements of Fractional Arithmetic1843 |
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12 XVIII 21 added complex fraction compound fraction conversely an improper cube cube root decimal fraction decimal point deno different denominators divided by 9 division equivalent improper fraction EXERCISES Express the fractional fifth Find the square Find the sum Find the value Five-eights frac fraction expresses fraction is exactly FRACTIONAL ARITHMETIC fractional value given denominator given number gives greatest common measure guinea halfpence Hence conversely Hence the rule hundredths integer numbers inverse joint stock concern last divisor last figure least terms lowest terms manner measure their difference measures both 63 miles minator mixed number mixed quantity multiplied and divided multiplying a mixed multiplying the numerator number that measures numerator and retaining pence pound prefixed principle product the numerator proper fraction quotient ratio readily ex reducing the fractions remainder required to find rule multiply shilling square numbers square root subtract tenths thousandths unit vulgar fraction whole number
Δημοφιλή αποσπάσματα
Σελίδα 6 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
Σελίδα 27 - A, B, and C can do a piece of work in 4 days; A and B can do it in 5 days; in what time can C do it ? 66.
Σελίδα 38 - ... point off as many figures for decimals as there are decimal places in both factors. 1. If there are not as many figures in the product as there are decimals in both factors, supply the deficiency by prefixing ciphers. 2. To multiply by 10, 100, 1000, etc., remove the decimal point in the multiplicand as many places toward the right as there are ciphers in the multiplier (89).
Σελίδα 63 - Separate the given number into periods of two figures each, beginning at the right hand. Find the greatest number whose square is contained in the first left-hand period, for the first figure of the root. Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend. Double the root already found, for a trial divisor, and find how often it is contained in the dividend, excluding the right-hand figure. Write the quotient as the next figure...
Σελίδα 50 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.
Σελίδα 19 - Multiplying or dividing both Dividend and Divisor by the same number, does not change the Quotient.
Σελίδα 58 - RULE. Multiply the principal by the number of days, and by double of the rate per cent., then divide the Product by 73000.
Σελίδα 27 - After paying away - of my money, and then - of the remainder, I had 72 guineas left; what had I at first? Ans. 120 guineas.
Σελίδα 3 - Second, division is often expressed by placing the divisor under the dividend, in the form of a fraction. Thus, the expression 3f-, shows that 35 is to be divided by 7, and is equivalent to 35+7.
Σελίδα 12 - FRACTIONS OF DIFFERENT DENOMINATORS MAY BE REDUCED TO A COMMON DENOMINATOR, BY MULTIPLYING EACH NUMERATOR INTO ALL THE DENOMINATORS EXCEPT ITS OWN, TOR A NEW NUMERATOR ; AND ALL THE DENOMINATORS TOGETHER, FOR A COMMON DENOMINATOR.