Question

ADD THE FOLLOWING RATIONAL NUMBERS -9/12, 5/-7 AND 2/3

Answer 1

You have to add the following rational numbers:

`\begin{gathered} (-(9)/(12))+(-(5)/(7))+(2)/(3) \\ -(9)/(12)-(5)/(7)+(2)/(3) \end{gathered}`

To add or subtract rational numbers, the first step is to express them using the same denominator.

In this case, the denominators are "12", "7", and "3", the least common multiple between these numbers is 84:

12*7=84

28/3=84

Multiply the first fraction by 7, the second fraction by 12, and the third fraction by 28 to express them as their equivalent rational numbers with a denominator 84:

`\begin{gathered} (-(9\cdot7)/(12\cdot7))-((5\cdot12)/(7\cdot12))+((2\cdot28)/(3\cdot28)) \\ -(63)/(84)-(60)/(84)+(56)/(84) \end{gathered}`

Now you can solve the operation between the fractions:

`(-63-60+56)/(84)=(-67)/(84)=-(67)/(84)`

The result of the operation is

`-(67)/(84)`