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Question 283789: simplify each complex fraction
( 2/9 +4/9 ) (1/3 - 9/10)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! expression is:
(2/9 + 4/9) * (1/3 - 9/10)
2/9 + 4/9 can be combined because their denominators are the same to get:
6/9
1/3 - 9/10 needs to find a common denominator for.
easiest one to find is 3 * 10 = 30.
multiply first fraction by 10/10 and multiply the second fraction by 3/3 to get:
10/30 - 27/30.
now that the denominator are the same, these can be combined to equal:
-17/30.
your expression of (2/9 + 4/9) * (1/3 - 9/10) is now equivalent to:
(6/9) * (-17/30) which can be multiplied together to get:
(6*-17)/(9*30) = -102/270
-102/270 = -.3777777778
Use your calculator to solve the original expression to see if it is the same as the result you get with the final expression.
They are the same so the simplification process was correct.
If you did not want to multiply the first expression by the second expression, then your answer would be:
first expression:
(2/9 + 4/9) is the same as 6/9 = 2/3
second expression:
(1/3 - 9/10) = (10/30 - 27/30) = -17/30
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