A Course of Mathematics for the Use of Academies As Well As Private Tuition Fr

Cover A Course of Mathematics for the Use of Academies As Well As Private Tuition Fr
A Course of Mathematics for the Use of Academies As Well As Private Tuition Fr
Charles Hutton
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6 4 20 8. Add 6a, and — — and -—7- together.
^ *^:. 5a :. 6a ^3a4-2^ .
9. Add —, and -— and — - — together.
4 5 7 10. Add 2o, and — - and 3+ -— together.
8 D 11. Add 8a+ — - and 2a- — together.
4 o CASE vn.
* To Subtract one Fractional Quantity from another.
Reduce the fractions to a common denominator, as in addi- tion, if they have not a common denominator Subtract the numerators from each other, and under their difference set the common denominator, and the work is done.
* In the addition of
... mixed quantities, it is best to bring tiie fractional ^arts only to a common denominator, and t© annex tlieir sxmi to the sum of the inte- gers, with the proper sign. And the same rule may be observed for mixed quantities in subtraction also.
EXAMPLES.
1«S ALGEBRAe EXAMPLES.
1. To find the difference of — and — .
4 7 ««, « ^^ 4« 21a 16a 5a. , ,.^ . , Here -^~_ = ___ = ^ is the difference required.
2. To find the difference of — ^^ and ; — .
4c 3b Here ^^""^ - ^^""^^ _, 6 ^^ -356 ^ 12ac~ 165c _ 4c 36 126c r26c 6a6-366-.


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