5

7. Give answers to the following: 11-12; 1-18; 11-11; 18-20; 21-2%.

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8. What do you notice about the denominators of the fractions you have subtracted in example 7?

In subtraction of fractions, just as in subtraction of whole numbers, the minuend must be larger than the subtrahend.

9. When the denominators are alike, what do we subtract?

10. Could you subtract from without change? How may these fractions be made similar?

11. When the denominators are unlike, what is the first step? What is the second step? What is the third step?

12. If a boy buys papers at of a cent each, and sells them at 1 cent each, how much does he gain on each paper?

13. I bought a bushel of potatoes for of a dollar, and a bushel of corn for of a dollar. How much more did I pay for the potatoes than for the corn?

14. William bought a hat for $24, and a pair of shoes for $21. How much more did he pay for the hat than for the shoes?

15. From a piece of ribbon 16 inches long was cut a piece 71 inches long. What was the length of the piece remaining? 16. One farmer owns 12415 acres of land, and another owns 111 acres. 8 How many more acres does the one

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farmer own than the other?

Subtracting fractions or mixed numbers that are not similar.

Fractions must be made similar before they can be subtracted.

23. From a piece of cloth containing of a yard, of a yard was sold. What part of a yard remained?

24. From a city lot containing

was sold.

of an acre, of an acre

What part of an acre remained?

25. A man traveled of a certain distance the first hour, and of the distance the second hour. What part of the distance farther did he travel the first hour than the second?

48. Albert had $2 and spent $3 for skates. How much

money had he remaining?

49. A vessel contained 8 gallons of oil. After of a gallon had leaked out, how much remained?

50. A grocer who had bought 10 bushels of potatoes, sold of a bushel. How many bushels remained?

51. From 12 take 101.

4 = c. d. 122-123 10=104 122-101 = 21

Change to fourths. 1=1. from, which added to 12 less 10, or 2, gives 21.

72. From a lot containing 17 acres, 5 acres were sold. How many acres remained?

73. One motorman's trip takes 43 hours, and another's 23 hours. How much longer is the first motorman's trip than the second motorman's trip?

74. A man bought two suits of clothes, one costing $35 and the other $281. How much more did the one suit cost

than the other?

75. James lives 12% miles from the schoolhouse, and Samuel 1 miles away. How much farther does Samuel have to

walk to school than James?

REVIEW

1. A newsboy earned $ one day, $3 another day, and $1 a third day. How much did he earn in the 3 days?

2. A stick was broken into two pieces one 33 ft. long and the other 13 ft. long. How long was the whole stick?

3. If a man earns $33 a day, and a boy $2 a day, how much more does the man earn in a day than the boy?

4. What will be the total cost of 1 sack of flour $13, sugar $4, dried beef $36, and corned beef $1?

5. A boy is 4 ft. 5 in. tall. His sister is 3 ft. 5 in. tall. How much taller is the boy than his sister?

6. The top of a door is 12 feet above the ground, and the bottom of it is 4 feet above the ground. How high is the door?

7. Four loads of coal weighed as follows: 2 tons, 1 tons, 21 tons, and 21 tons. How much did the four loads weigh?

8. The rainfall in April was 416 inches, in May 3 inches, and in June 41⁄2 inches. What was the total rainfall for the three months?

9. From a barrel containing 51 gallons of oil, 171 gallons were sold in one day, and 25 gallons another day. How many gallons remained unsold?

10. A station agent who was paid $60 per month spent in one month $12 for groceries, $7 for meat, and $151 for other expenses. How much did he save?

11. A farmer drives in one day 12 miles, then 67 miles, and then 91⁄2 miles. How far does he drive?

12. To the sum of 22 and 153 add their difference.

13. From 38,54 take the sum of 16 and 1211.

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14. The feed for a horse cost $5 per month; for a cow, $1 per month. If a man has 2 horses and 2 cows, how much will it cost to feed them a month?

15. A boy walked from his home east along a certain road 13 miles. He then walked to a place 24 miles west of his home. How far had he walked when he got home?

16. A man purchased a chair for $41, a stove for $61, a table for $81, and a bookcase for $12.00. How much did they cost?