Question

I don't understand x+ 4/5 =11

Answer 1

To solve the equation

`x\text{ + }(4)/(5)=11`

First, subtract 4/5 to both sides of the equation, and then make the corresponding operations:

`x\text{ + }(4)/(5)-(4)/(5)=\text{ 11 - }(4)/(5)`
`x\text{ + 0 = 11 -}(4)/(5)`

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).

`x\text{ = }\frac{(11\cdot5)\text{ - (1}\cdot4)}{5\cdot1}`
`x\text{ =}(55-4)/(5)=(51)/(4)`

To check, we have:

`(51)/(4)+(4)/(5)\text{ = 11}`