MULTIPLICATION OF FRACTIONS

1. How much is ++? How much, then, is 3 × ? 2. How much is 2 × ? 4 × 3?

To multiply a fraction by a whole number, multiply the numerator by the whole number, and under the product write the denominator.

It will shorten the work to cancel any common factor in the whole number and denominator before multiplying. This is the same as reducing the fraction to its lowest terms after multiplying.

Thus, 4 and 6 contain the factor 2; then divide 4 and 6 by 2, cancel them, and write

the quotients 2 and 3 in their places.

Always use cancellation when possible.

Find the value of:

2

5

4×5

4 x

=

6

63

The word "of" following a fraction is equivalent to the

18. How much is 4 × $1? 3 × $Z? 6 × $†?

10. How much will 6 bu. corn cost at $§ a bushel? 11. How much will 10 pk. pears cost at $ a peck? 12. How much will 3 doz. oranges cost at 22 cents apiece? 13. How far will a boy walk in 4 hours at the rate of 25 miles an hour?

14. Find the cost of 128 cords of wood at $6 a cord.

15. A farmer sold 1255 lb. cotton at 128 a pound. How much did he receive for it?

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16. A grocer bought sugar at 4g a pound and sold it at 61 a pound. Find his profits on 5 hogsheads of sugar, each weighing 1436 pounds.

17. A lady bought 6 yd. velvet at $14 a yard, and 8 yd. silk at $1 a yard. How much did she spend?

18. If a man travels on a bicycle § of 48 miles a day, how far will he go in 9§ days?

19. A grocer bought 180 eggs at $ per dozen and sold them at $ per dozen. How much did he gain?

20. Two boys start from the same point and travel in opposite directions. If one goes 23 mi. and the other 2 mi. per hour, how far apart will they be in 6 hours?

1. Multiply 20 by 31; by 24; by .

2. Find the cost of 78 hats at $3 each.

3. A farmer sold 5 dozen apples to A, 62 dozen to B, and 4 dozen to C. How many dozen did he sell? How many apples did he sell?

4. How much more is of $18.75 than of $10.32?

5. If a pint of peanuts costs 5, how much will 1 pecks cost at the same price?

6. Count by 8's from 7 to 63; by 1's from 3 to 15.

7. Walter paid $63 for trousers, $9 for a coat, and $31 for a vest. How much did the suit cost?

8. George and Henry bought a piece of cord 672 ft. long for their kites. If George used of it and Henry how much of it was left?

of it,

9. A box contains 12 doz. eggs. If 51 doz. of them are sold, what is the value of the remainder at 30% a dozen?

10. Marcus lives 7 miles from town. He rode to town at the rate of 5 miles per hour and walked back at the rate of 2 miles per hour. How much longer was he in returning than in going?

11. How much less will 60 apples cost at the rate of 3 for 10¢ than at the rate of 4 for 15%?

12. How many ounces are there in 57 pounds?

13. Find the cost of 6 chickens, each weighing 2 pounds, at 18 a pound.

14. When Ella started to school it was 8:35 A.M., and when she returned it was 1:15 P.M. How many hours was she gone?

1. 12 bushels of corn at $.75 a bushel.
12 x $.75 12 x $ = 3 × $3 = $9.

2. 8 yards of tweeds at $.25 a yard.
3. 10 gallons of vinegar at $.50 a gallon.
4. 16 dozen oranges at $.371⁄2 a dozen.
5. 12 bushels of apples at $.50 a bushel.
6. 15 pecks of berries at $.20 a peck.
7. 16 baskets of grapes at $.621 a basket.
8. 24 gallons of milk at $.371⁄2 a gallon.
9. 25 bushels of wheat at $.60 a bushel.
10. 12 pounds of rice at $.08 a pound.
11. 30 bushels of potatoes at $.90 a bushel.
12. 60 pounds of sugar at $.064 a pound.
13. 35 bushels of wheat at $.40 a bushel.
14. 18 yards of flannel at $.75 a yard.
15. 15 dozen cantaloupes at $.663 a dozen.
16. 30 pounds of honey at $.121 a pound.
17. 40 bushels of wheat at $.80 a bushel.
18. 16 yards of gingham at $.12 a yard.

7. Six hundred four thousand nineteen.

8. Five million forty thousand six hundred.

9. Four hundred fifteen thousand ninety.

10. Seven hundred thirty-one thousand nine hundred.