Use the piece as the unit of measure, and try how many times the whole unit contains it. It will be found that the whole unit contains the piece once and leaves a remainder which is of the unit of measure. Therefore, it contains it 1 times or times. Any number of times the unit will, therefore, contain the piece of that number of times. 91. To divide by a fraction, multiply by that fraction inverted. Exercises in Multiplication and Division of Fractions 92. 1. Multiply by and divide the product by 3. 2. Divide by and multiply the quotient by. 3. Multiply by and divide the product by . 4. Divide 3 by and multiply the quotient by 8. 5. Divide by and multiply the quotient by 21. 6. Divide 31 by 4 and multiply the quotient by . 7. Divide 6 by and multiply the quotient by 93. Reduce the following fractional expressions to their simplest form by dividing the numerators by the denominators: MIXED NUMBERS WITH LARGE INTEGRAL PARTS IN MULTIPLICATION AND DIVISION Convenient Form for Computation in Multiplication 94. 1. Multiply 18463 by 12. 18462/ 8 (12 times) 2. Multiply 1473 by 81. 1473 × 81 7361 (of 1473) 11784 (8 times 1473) 3. Multiply 3468 by 73. 3468 × 73 867 (1 of 3468) 2601 (of 3468) 24276 (7 times 3468) 26877 (73 times 3468) 4. Find the cost of 345 acres of land at $64 5. Find the cost of 12503 bushels of oats at $.32 a bushel. 6. Find the cost of 843 yards of cloth at $.48 a yard. 7. Find the cost of 120 acres of land at $96 per acre. 8. A man worked 183 days at $4.50 per day. How much did he earn? 9. Find the cost of 150 yards of cloth at $.64 a yard. 10. Find the cost of 28427 bushels of wheat at $.96 a bushel. Convenient Form for Computation in Division 95. 1. Divide 48261 by 8. 60316 8)48261 Divide as far as possible in the usual way. When the remainder 21 is found, change that to an improper fraction, 5, and divide it by 8. 5+8=16. 2. Divide 72643 by 4. 3. Divide 3692 by 3. 5. Divide 8645 by 9. 6. Divide 71305 by 8. 7. Divide 1234 by 6. 8. Divide 760 by 24. 3149 24)7601 72 40 24 163 = 42. 42 + 24 = 42. |