To solve the equation
[tex]x\text{ + }\frac{4}{5}=11[/tex]First, subtract 4/5 to both sides of the equation, and then make the corresponding operations:
[tex]x\text{ + }\frac{4}{5}-\frac{4}{5}=\text{ 11 - }\frac{4}{5}[/tex][tex]x\text{ + 0 = 11 -}\frac{4}{5}[/tex]We can solve 11 - (4/5) multiplying the denominator 5 by 11, and then the denominator of 11, which is 1, by -4. Then divide the numerator by the multiplication of both denominators (1 * 5= 5).
[tex]x\text{ = }\frac{(11\cdot5)\text{ - (1}\cdot4)}{5\cdot1}[/tex][tex]x\text{ =}\frac{55-4}{5}=\frac{51}{4}[/tex]To check, we have:
[tex]\frac{51}{4}+\frac{4}{5}\text{ = 11}[/tex]