Solve 51/6-u=23/4

$$5 \frac { 1 } { 6 } - u = 2 \frac { 3 } { 4 }$$

Solve for u

$$u = \frac{29}{12} = 2\frac{5}{12} \approx 2.416666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$2\left(5\times 6+1\right)-12u=3\left(2\times 4+3\right)$$

Multiply 5 and 6 to get 30.

$$2\left(30+1\right)-12u=3\left(2\times 4+3\right)$$

Add 30 and 1 to get 31.

$$2\times 31-12u=3\left(2\times 4+3\right)$$

Multiply 2 and 31 to get 62.

$$62-12u=3\left(2\times 4+3\right)$$

Multiply 2 and 4 to get 8.

$$62-12u=3\left(8+3\right)$$

Add 8 and 3 to get 11.

$$62-12u=3\times 11$$

Multiply 3 and 11 to get 33.

$$62-12u=33$$

Subtract 62 from both sides.

$$-12u=33-62$$

Subtract 62 from 33 to get -29.

$$-12u=-29$$

Divide both sides by -12.

$$u=\frac{-29}{-12}$$

Fraction \frac{-29}{-12} can be simplified to \frac{29}{12} by removing the negative sign from both the numerator and the denominator.

$$u=\frac{29}{12}$$