2. Express in positive terms 1.7658 of £1: 13:4}. £1:13:4} = 1.66875 £. 1.66875 1.7658 1335000 834375 1001250 1168125 166875 2.946678750 £. 20 18.93357500 s. 12 11.202900 d. 2.8116 fa. Ans. £2: 18: 11 .8116 fa. VII. TO EXPRESS ONE QUANTITY, FRACTIONAL OR OTHER, IN TERMS, OR AS A FRACTION, OF ANOTHER. Or, TO FIND THE RATIO OF ONE TO THE OTHER. Rule. Express both quantities in the same denomination, and divide the former by the latter. Leave the result, as a vulgar, or decimal fraction, as required. 2. Express of 3 ac. as a fraction of 2 r. 203 po. Rule.-1. Write the quantities under each other, placing those of the same denomination in the same column. 2. Add the column of the lowest denomination; convert the sum into a number of the next higher denomination. 3. Carry this number to the next column, and set down the remainder under the first. 4. Add the next column, in the same way, and repeat the operations till the last column is added. EXAMPLES. 1. Add together the following quantities £4: 10:13; £25: 13 : 53; £67: 100; £0: 3:04. £. s. d. 4 10 13 2. Add together 7 cwt. 2qrs. 15 lbs.; 33 cwt. O qrs. 25 lbs.; 19 cwt. 3 qrs. 60 2 12 Ans. 11. TO EXPRESS IN POSITIVE TERMS THE SUM OF SEVERAL FRACTIONS OF CONCRETE QUANTITIES. Rule 1. Express them all in the same denomination, add them, and express the sum in positive terms. Rule 2. Express each fraction in positive terms, and add. 2. Express in positive terms & mile + yd. + ft. 3. Find the value of .75 sq. yd. + .56 sq. ft. .75 sq. yd. +.56 sq. ft. 6.75 sq. ft.+.56 sq. ft. = 7.31 sq. ft. 7 sq. ft. 44.64 sq. in. 4. Find the value of .72 of £1: 3:4+ 5 of £1 : 11 : 4. 1. TO SUBTRACT ONE COMPOUND QUANTITY FROM ANOTHER OF THE Rule-1. Write the less quantity under the greater, placing those of the same unit in the same column. 2. Subtract the lower number in the column of the lowest denomination from the upper, if possible, but if not, 3. Add to the upper number as many units of the denomination of the column as make one of the next higher; and then subtract the lower number. 4. Set down the remainder under the column. 5. Proceed in the same manner with the next column, adding 1 to the lower number, if the upper number of the last column has been increased. 6. Continue this process till each number in the lower line has been subtracted. EXAMPLES. 1. Subtract £695: 15: 3 from £743: 17: 43. £. S. d. 743 17 42 695 15 3 48 2 11 Ans. 2. Subtract 709 sq. po. 23 yds. 6 ft. from 6210 sq. po. 4 yds. 4 ft. sq. po. yds. ft. 6210 4 4 5500 10 7 Ans. 5500 11 0 3. Bought 508 qrs. 3 bush. 1 pk. of grain, of which 300 qrs. 4 bush. 2 pks. was wheat, the remainder oats, find the quantity of oats. 11. TO EXPRESS IN POSITIVE TERMS THE DIFFERENCE OF TWO Rule 1. Express them in the same denomination, subtract, and express the result in positive terms. Rule 2. Express each fraction in positive terms, and then subtract. 2. Find the value of .085 of a ton.875 of a qr. |