Solve 45/6-27/12=x

$$4 \frac { 5 } { 6 } - 2 \frac { 7 } { 12 } = x$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}-\frac{2\times 12+7}{12}=x$$

Add 24 and 5 to get 29.

$$\frac{29}{6}-\frac{2\times 12+7}{12}=x$$

Multiply 2 and 12 to get 24.

$$\frac{29}{6}-\frac{24+7}{12}=x$$

Add 24 and 7 to get 31.

$$\frac{29}{6}-\frac{31}{12}=x$$

Least common multiple of 6 and 12 is 12. Convert \frac{29}{6} and \frac{31}{12} to fractions with denominator 12.

$$\frac{58}{12}-\frac{31}{12}=x$$

Since \frac{58}{12} and \frac{31}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-31}{12}=x$$

Subtract 31 from 58 to get 27.

$$\frac{27}{12}=x$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$\frac{9}{4}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{9}{4}$$