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Question

Divide the sum of 65/12 and 12/7 by their difference.

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Solution

Sum of 65/12 and 12/7 is

= 65/12+12/7

= 65/12×7/7+12/7×12/12

= 455/84+144/84

= (455+144)/84

= 599/84

Difference between them:-

= 65/12-12/7

= 65/12×7/7-12/7×12/12

= 455/84-144/84

= (455-144)/84

= 311/84

Sum/difference

= 599/84÷311/84

= 599/311

Hope it helps


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