Elementary arithmetic, for graded and ungraded schools by Hamilton Samuel 1856-1922

Author:Hamilton, Samuel, 1856-1922
Language: eng
Format: epub
Tags: Arithmetic
Publisher: New York, Cincinnati [etc.] American Book Company
Published: 1908-03-25T05:00:00+00:00

^

J

I

1. 1 sq. in. — J sq. in = — sq. in.

2. J sq. iii. — ^ sq. in. = — sq. in.

3. 1 sq. in. — J sq. in = — sq. in.

4. J sq. in. — -^ sq. in. = — sq. in.

5. J sq. in. — ^ sq. in. = — sq. in.

A

FIFTH YEAR

7. Give answers to the following: ^J —^; li —^;

ft-i\; U-^i U-^-

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 J from J without change ? How may these fractions be made similar ?

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

Subtract:

12. ^^^^ Jft.-ift.; iyd.-Jyd.; Ijft.-Jft.

Subtracting similar mixed numbers. Written Work

1. From 8^ take 1|.

Find the differences:

2. 2f - 1|

3. 5| - 2f

*• m- h*S 8. 20^4-IIH 6. 16^-11^

Since } cannot be subtracted from }, we take 1 or | from 3, and add it to }, thus changing 3J to 2J. TJien j from I leaves } and 1 from 2 leaves 1. Hence, the answer is 1}.

7. S5^- 5^

8. 17H-13A

9. 11^ - 9f

10. li - 2|

11. 13f - 9f

12. If a boy buys papers at f 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 $2|, and a pair of shoes for $2^. How much more did he pay for the hat than for the shoes ?

15. From a piece of ribbon 16-j^ inches long was cut a piece 7 J inches long. What was the length of the piece remaining ?

16. One farmer owns 124^|^ acres of land, and another owns 111^ acres. How many more acres does the one farmer own than the other?

Subtracting fractions or mixed numbers that are' not similar. Written Work

1. From I take |. Before they can be subtracted the fractions

20 = c. d. must be made similar. Change them both to

1 _ 1. twentieths. J = A ^-'^^l 1 = A* Subtracting,

FractionB must be made similar before they can he svhtracted. Subtract, using a pencil; then orally:

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 J of an acre, -^ of an acre was sold. What part of an acre remained ?

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

26.

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