Integers multiplied by Fractions. 17. Multiply 256 by . 16 1944 First multiply by the integer and then by the fraction, and add the products. 324 216 5400, Ans. Art. 72. RULES.-1. To find the fractional part of an integer, or to multiply an integer by a fraction, Divide the integer by the denominator and multiply the quotient by the numerator. Or: Multiply the integer by the numerator and divide the product by the denominator. 2. To multiply an integer by a mixed number, Multiply by the integer and the fraction separately, and add the products. 1. If each third of a pine-apple be cut into 2 equal pieces, what part of the pine-apple will one piece be? What is of ? 2. A boy having of a melon, gave of it to a playmate what part of the melon did tho play mate receive? What is of? of? equally between her 2 brothers: what part of the orange did each receive? SUGGESTION.-Divide each fourth into 2 equal pieces, and then give 3 pieces to each. 7. What is of ? of? SOLUTION. - -} of 131 = } of 12 + } of 11⁄2 or . of NOTE. The examples should be solved by both methods. The teacher should explain the process of cancellation. 94 Art. 73. A Simple Fraction is a fraction not united with an integer or another fraction; as, . A Compound Fraction is a fraction of a fraction; as, of ; of 31. 3 Art. 74. RULE.-To reduce a compound fraction to a simple fraction, or to multiply one fraction by another, Multiply the numerators together, and also the denominators. NOTE. The process may often be shortened by canceling common factors before multiplying. LESSON XII. Fractions divided by Integers. 1. A father divided of a melon equally between 3 boys: what part of the melon did each receive? SOLUTION. — If 3 boys receive of a melon, each will receiveof, which is 4. 2. A woman divided of a pound of crackers equally between 3 poor children: what part of a pound did each receive? 3. If 5 pounds of cheese cost of a dollar, what will 1 pound cost? 4. How much is 5?5? ÷ 5? 5. If 6 men can build of a wall in a day, what part of the wall can one man build? 6. How much is 6? ÷ 5? 7÷9? 7. A grocer put 16 pounds of sugar into 5 equal parcels: how much parcel? sugar was put into each Art. 75. PRINCIPLE.-A fraction is divided by |
