SOLUTION: Simplify the expression. {{{(10/((5/7)+(2/9)))}}}

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Question 879616: Simplify the expression.
%2810%2F%28%285%2F7%29%2B%282%2F9%29%29%29



Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
The main denominator has two other denominators of 7 and 9. Multiply the entire complex fraction by 1=%287%2A9%29%2F%287%2A9%29, and simplify from that.

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Multiplication by 1 does not change the meaning of the number. Multiplying a fraction by a lowest common denominator will clear the denominators.
That means, form this:
%2810%2F%28%285%2F7%29%2B%282%2F9%29%29%29%28%287%2A9%29%2F%287%2A9%29%29, and simplify the result from there.