Question

ADD THE FOLLOWING RATIONAL NUMBER.-7/13 AND 6/5 add the rational number3/11 and -5/12

Answer 1

`-(7)/(13)+(6)/(5)`

Notice that 13 and 5 are prime numbers; therefore, the minimum common divisor is 13*5=65. Thus, we can calculate that addition as shown below.

`\begin{gathered} -(7)/(13)\cdot(5)/(5)+(6)/(5)\cdot(13)/(13)=-(35)/(65)+(78)/(65) \\ =(43)/(65) \end{gathered}`

The answer is 43/65.

2)

`(3)/(11)+(-(5)/(12))`

Solve as shown below

`\begin{gathered} (3)/(11)+(-(5)/(12)) \\ =(3)/(11)\cdot(12)/(12)+(-(5)/(12))\cdot(11)/(11) \\ =(36)/(132)+(-(55)/(132)) \\ =(36-55)/(132) \\ =(-19)/(132) \end{gathered}`

The answer is -19/132