Simplify the following without using a calculator. (1)/(2) + 2 (3)/(4) - (3)/(8) ​

Question

Simplify the following without using a calculator.


`(1)/(2) + 2 (3)/(4) - (3)/(8)`

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Answer 1

`\tt \red{3 (7)/(8)}`

Explanation:

`\tt \: (1)/(2) + 2 (3)/(4) - (3)/(8)`

`= \tt \: (1)/(2) + (11)/(4) - (3)/(8)`

`= \tt \: (4)/(8) + (22)/(8) - (3)/(8)`

`= \tt \: ((4 + 22 - 3))/(8)`

`= \tt \: (23)/(8)`

`= \tt \red{3 (7)/(8)}`