Question

Estimate then answer the equation.

Answer 1

`7(1)/(4) -2(5)/(12) =(58)/(12) =4(10)/(12)`

Explanation:

Given:

`7(1)/(4) =(7* 4 +1)/(4)=(29)/(4)`

`2(5)/(12)=(12* 2+5)/(12)=(29)/(12)`

To Find:

`7(1)/(4) -2(5)/(12) =?`

Solution

Substituting the above values we get

`7(1)/(4) -2(5)/(12) =(29)/(4) -(29)/(12)`

Now make both the denominator same by multiplying and dividing by 3 to the first term so we get

`7(1)/(4) -2(5)/(12) =(29* 3)/(4* 3) -(29)/(12)\\\\7(1)/(4) -2(5)/(12) =(87)/(12) -(29)/(12)\\\\7(1)/(4) -2(5)/(12) =(87-29)/(12)\\\\7(1)/(4) -2(5)/(12) =(58)/(12) =4(10)/(12)`

∴
`7(1)/(4) -2(5)/(12) =(58)/(12) =4(10)/(12)`