SOLUTION: how are fractions solved?

Question 77362: how are fractions solved?
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
FRACTIONS COME IN MANY FORMS
1/2, 25/3, 4 3/8, 67/124, 9X/17, 2/3T, ETC.
THE SOLTUION TO ALL FRACTIONS IS TO REDUCE THEM TO THEIR LOWEST FORM
EXAMPLES: 4/8 BY DIVIDING BOTH NUMERATOR & DENOMINATOR BY 4 OR (4/4=1) DOESN'T CHANGE THE VALUE - ONLY THE FORM OF THE FRACTION. THUS WE HAVE:
4/8=1/2
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HERE WE CROSS MULTIPLY 7x*10, 4*1 & we GET:
7X*10=4*1
70X=4
X=4/70 REDUCE THIS FRACTION BY DIVIDING BOTH TERMS BY 2 & WE GET:
X=2/35
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X=2/5+3/8+1/4-6/3 HERE WE HAVE TO FIND A COMMON DENOMINATOR IN ORDER TO ADD OR SUBTRACT THESE FRACTIONS THUS WE HAVE: FACTORS OR (1,5) (2,4) (1,4) (1,3)
COLLECT & MULTIPLY ALL THE UNIQUE FACTORS (ONE-OF-A-KIND)
5*3*2=30
COLLECT ALL THE TERMS APPEARING MORE THAN ONCE:
1*4=4
NOW MULTIPLY THE TWO PRODUCTS & WE GET
30*4=120 THE COMMON DENOMINATOR.
NOW WE REPLACE EACH FRACTION WITH AN EQUAL FRACTION WITH A DENOMINATOR OF 120 AND ADD THE NUMERATORS THUS:
X=(2*24+3*15+1*30-6*40)/120
X=(48+45+30-240)/120
X=(123-240)/120
X=-117/120 OR
X=.975

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