Respuesta :
Given
What has to be added to the sum of 3/4 and 4/3 to get 3?
Solution
Let's assume the number to be x
[tex]\frac{3}{4}+\frac{4}{3}+x=3[/tex]Then, we solve for x
We can multiply all through by the L C M 12 to clear the fraction
[tex]12\times\frac{4}{3}+12\times\frac{3}{4}+x\times12=3\times12[/tex]simplify
[tex]\begin{gathered} 16+9+12x=36 \\ \end{gathered}[/tex]collect the like terms
[tex]\begin{gathered} 25+12x=36 \\ 12x=36-25 \\ 12x=11 \\ \end{gathered}[/tex]Divide both sides by 12
[tex]\begin{gathered} \frac{12x}{12}=\frac{11}{12} \\ \\ x=\frac{11}{12} \end{gathered}[/tex]The final answer
