Question

4 11/18-x=1 31/36 whats the answer

Answer 1

`\large\boxed{x=2(3)/(4)}`

Explanation:

`4(11)/(18)-x=1(31)/(36)\qquad\text{subtract}\ 4(11)/(18)\ \text{from both sides}\\\\4(11)/(18)-4(11)/(18)-x=1(31)/(36)-4(11)/(18)\\\\-x=1(31)/(36)-4(11\cdot2)/(18\cdot2)\\\\-x=1(31)/(36)-4(22)/(36)\\\\-x=1+(31)/(36)-4-(22)/(36)\\\\-x=(1-4)+\left((31)/(36)-(22)/(36)\right)\\\\-x=-3+(31-22)/(36)\\\\-x=-3+(9)/(36)`

`-x=-3+(9:9)/(36:9)\\\\-x=-3+(1)/(4)\qquad\text{change the signs}\\\\x=3-(1)/(4)\\\\x=2(4)/(4)-(1)/(4)\\\\x=2(4-1)/(4)\\\\x=2(3)/(4)`