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11. TO DIVIDE A SIMPLE OR COMPOUND FRACTIONAL EXPRESSION BY A

SIMPLE FRACTION, OR BY A COMPOUND EXPRESSION.

4-

Rule. Reduce each expression to a simple fraction, and then perform the division.

EXAMPLES. 1. Divide 75 + — 44 by 47 - 3%. 5 3 4

3 7- +

3-
7 8 9

7
5 3 4 8
+-+

7 8 9

360 + 189 - 224 5 3

7 X 8 X 9

325 7
={3+

x
7 X8 X9
1837 7 1837 37

Х
7 X 8 X 95 360 360

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= 5

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Rule-1. When numerator and denominator are simple or compound fractions, divide numerator by denominator.

2. When numerator and denominator are, one or both, fractional expressions composed by terms, multiply each term in both by the L. C. M. of the denominators of all the simple fractions, and reduce the result by performing the operations indicated.

The terms of the numerator and denominator must be put into the form of simple fractions, or whole numbers, before applying this rule.

3. If the expressions be composed by factors, reduce each to a simple fraction, and perform the operations indicated.

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7} of 9 3. Reduce

to its simplest form.
65 of 1
7} of 9 57 48) 47

of

of 69 of 1

57 X 48 47 X 14

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8 X 5 7 X 15
57 X 6 1 X 15

Х
1 X 5 47 X 2
57 X 3 1 X 3

Х
1 X1 47 x
513 43
-= 10-

47 47
+113 -
4. Reduce

to its simplest form.
4-3% X 10

11 - 1+8+da -
4} - 3% + 7 1 +} - * + to

240 +90 + 15 — 100
240 + 48 - 32 + 168
245

424 24 of 77 3 of 3}

48 of 57 71 of 10 5. Reduce

to its simplest form. of 3 + 411 24 of 7% 3 of 3 18 x 70 35 X 36 15 x 25 15 x 10 43 of 51 71 of 10

7 X 9 8 X 7 4 X 8 2 of + 411

2 x 7 59

+
3 x 12 12

2X1 15 x 25 1
2 X 10 X

-X
5 X 9 4 X 8 15 x 5

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K.-Simplification of Fractional Expressions.

Rule. Perform the operations indicated by the signs, for which the former rules will be sufficient, taking care to reduce each part of an expression to the simplest form before actually performing the operations.

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6. Simplify

+

}

3} of 87 Х

of 29

73 of 43

37 of

23

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