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\fdO'^ - Old Forge Coal Mines

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Again,<br />

ARITHMETIC. 9<br />

6x8x4xl _<br />

8X3X1X1<br />

6 in the dividend and 3 in the divisor are divisible<br />

by 3, since 6 divided by 3 equals 2, and 3 divided by 3 equals<br />

1. Cross off the 6 and write the 2 over it ; also, cross off the<br />

3 and write the 1 under it. Thus,<br />

2<br />

0x8x4x1 ^<br />

8x^x1x1<br />

1<br />

The 6 and 3 are not to be considered any longer, and, in<br />

fact, may be erased entirely and the 2 and 1 placed in their<br />

stead, and treated as if the 6 and 3 never existed.<br />

2X8X4X1 _<br />

8X1X1X1<br />

Thus,<br />

Canceling the 8 in the dividend and the 8 in the divisor,<br />

the result is<br />

1<br />

2x^4x1 ^ 2x1x4x1<br />

^xlxlxl~lxixlxl*<br />

1<br />

Since there are no two remaining numbers (one in the<br />

dividend and one in the divisor) divisible by any number trs.-<br />

cept 1, without a remainder, it is impossible to cancel further.<br />

Multiply<br />

all the uncanceled numbers in the dividend<br />

together, and divide their product by the product of all<br />

the uncanceled numbers in the divisor. The result will be the<br />

quotient. The product of all the uncanceled numbers in<br />

the dividend equals 2x1x4x1 = 8; the product of all the<br />

uncanceled numbers in the divisor equals 1x1X1X1 = 1.<br />

„ 2X1X4X18 _.<br />

Hence, :; ; :; =<br />

- = 8. Ans.<br />

IXlXlXl 1<br />

2<br />

Or, 4>

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