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\fdO'^ - Old Forge Coal Mines

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38 ARITHMETIC.<br />

nominator of the fraction. The problem<br />

^_> ~ • 5?-l^l-lxZ?-ior 5 Ans<br />

3^ ^ ~ 32 •<br />

16 ~ ^^ ^ ~ '<br />

^ 2<br />

16 16 2<br />

is now reduced to<br />

1.25 X 20 X 3 _ In this problem 1.25 X 20 X<br />

*<br />

(74) 87 + (11 X 8) 3 constitutes the numerator of<br />

459 + 32 the complex fraction.<br />

1.2 5 Multiplying the factors of the numerator<br />

X 2 together, we find their product to be 75.<br />

2 5.0<br />

X_3<br />

75<br />

The fraction — /I} ,<br />

the complex<br />

87 4- (11 X 8^<br />

^^<br />

4o9 + 32<br />

' constitutes the denominator of<br />

fraction. The value of the numerator of this<br />

fraction equals 87 + 88 = 175.<br />

The numerator is combined as though<br />

87 + (11 X 8), and its result is<br />

11<br />

88<br />

+ 87<br />

175<br />

8 times<br />

it were written<br />

The value of the denominator of this fraction is equal to<br />

459 + 32 = 491. The problem then becomes<br />

3<br />

75 _ 75. 175 75^491 ;^ x 491 _ 1,473 „^.3 ,^<br />

491<br />

(75) 1 plus .001 = 1.001. .01 plus .000001 = .010001.<br />

And 1.001 - .010001 =<br />

1.001<br />

.010001<br />

7<br />

.990999 Ans.

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