SOLUTION: Please simplify the following problem:
(1/2)-(1/3)/(3/4)+(1/6)
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Question 169666: Please simplify the following problem:
(1/2)-(1/3)/(3/4)+(1/6)
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(1/2)-(1/3)/(3/4)+(1/6)
1/2-(1/3)(4/3)+1/6
1/2-4/9+1/6
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Checkley77, I really appreciate your help on this complex fractions.
Could you eplain how you got step 4- which is (9-4*2-3)/18. I got lost on this step.I really appreciate your help.
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In order to add fractions you need to have a common denominator.
The common denominator is any number evenly divisable by 2, 9 & 6.
A good way to do this is to see if the largest number is divisable by the other two. 9 is not divisable by 2
Next multiply the largest number (9) by (2)=18 and try again.
18 is divisable by both 2 & 6.
Now you need to change 1/2 to 9/18 by multiplying both numerator & denominator by 9, change 4/9 to 8/18 by multiplying both numerator & denominator by 2 & 1/6 to 3/18 by multiplying both numerator & denominator by 3.
Now you have a 'common denominator' and can add the numerators.
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(9*1-4*2+3*1)/18 multiply numerator terms.
(9-8+3)/18 combine numerator terms.
4/18 now reduce.
2/9 ans.
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