Question

5/12 +( 5/12 + 3/4 ) =​

Answer 1

19/12=
`1 (7)/(12)`

Explanation:

`(5)/(12)+\left((5)/(12)+(3)/(4)\right)\\\\=(5)/(12)+(5)/(12)+(3)/(4)\\\\\mathrm{Add\:similar\:elements:}\:(5)/(12)+(5)/(12)=2* (5)/(12)\\=2* (5)/(12)+(3)/(4)\\\\=(5* \:2)/(12)\\\\=(10)/(12)\\\\=(10)/(12)\\\\=(5)/(6)+(3)/(4)\\L.C.M =12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\(5)/(6)=(5\cdot \:2)/(6* \:2)=(10)/(12)\\\\(3)/(4)=(3* \:3)/(4* \:3)=(9)/(12)\\`

`\\=(10)/(12)+(9)/(12)\\\mathrm{Since\:the\:denominators\:are\:equal\\\:combine\:the\:fractions}:\\\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\\\=(10+9)/(12)\\\\=(19)/(12)`

Answer 2

Proper: 15/4

Improper: 3 3/4

Explanation:

Well to solve the following question,

5/12 + (5/12 + 3/4)

We solve the part in the parenthesis first,

5/12 + 3/4 = 14/4

Simplified -> 7/2

5/12 + 7/2

= 45/12

Simplified -> 15/4

Thus,

the answer is 15/4 or 3 3/4.

Hope this helps :)