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Question 283790: simplify each complex fraction
2 x (1/4 + 1/5) + 2
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 2 * (1/4 + 1/5) + 2
1/4 is the same as 5/20
1/5 is the same as 4/20
expression becomes:
2 * (5/20 + 4/20) + 2
since the denominators are now the same, you can combine the fractions to get:
2 * (9/20) + 2
2 * 9/20 = 18/20 so your expression becomes:
18/20 + 2
18/20 can be simplified to 9/10 so your expression becomes:
2 and 9/10
2 is equivalent to 20/10.
your expression becomes 20/10 + 9/10.
Since the denominator is the same, these fractions can be combined to equal:
29/10 which equals 2.9
You can confirm this is accurate by using your calculator to determine the value of the original expression and see if it is the same as the value of the final expression.
I confirmed and they are the same so the answer is good.
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