4.5x+ 7/9 x+2 1/3 + 1/6 x=5 1/18 What is the answer?? How would you solve it?? Please help!!

1 answer
Question:

4.5x+ 7/9 x+2 1/3 + 1/6 x=5 1/18
What is the answer?? How would you solve it?? Please help!!

Answers

18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*1881x +14x +42 +3x = 91 . . . . . simplifyCollect terms.98x + 42 = 9198x = 49 . . . . . . . . . subtract 42x = 49/98 = 1/2The solution is x = 1/2._____You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.  (4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18  (49/9)x + 7/3 = 91/18  (49/9)x = 49/18 . . . . . . . subtract 7/3  x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.

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