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3 votes
4/9 x 18/5 + 14/5 x 2/9 - 8/18

1 Answer

5 votes

Answer:

Explanation:

We can simplify the expression by first finding the common denominator for the fractions in each term, which is 45:

4/9 x 18/5 + 14/5 x 2/9 - 8/18

= (418)/(95) + (142)/(59) - 8/18 (multiplying to get the common denominator)

= 72/45 + 28/45 - 8/18 (simplifying each term)

= (72 + 28)/45 - 8/18 (adding the first two terms)

= 100/45 - 4/9 (simplifying)

= (1001)/(451) - (45)/(95) (multiplying by 1 in the form of 5/5)

= 100/45 - 20/45 (simplifying)

= 80/45 (final answer, which can be simplified to 16/9)

Therefore, 4/9 x 18/5 + 14/5 x 2/9 - 8/18 = 16/9.

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User GaelS
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