Solve (1+1/2+1/3)x=1100

$$(1+ \frac{ 1 }{ 2 } + \frac{ 1 }{ 3 } )x = 1100$$

Solve for x

$$x=600$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{2}{2}.

$$\left(\frac{2}{2}+\frac{1}{2}+\frac{1}{3}\right)x=1100$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\left(\frac{2+1}{2}+\frac{1}{3}\right)x=1100$$

Add 2 and 1 to get 3.

$$\left(\frac{3}{2}+\frac{1}{3}\right)x=1100$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{1}{3} to fractions with denominator 6.

$$\left(\frac{9}{6}+\frac{2}{6}\right)x=1100$$

Since \frac{9}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{6}x=1100$$

Add 9 and 2 to get 11.

$$\frac{11}{6}x=1100$$

Multiply both sides by \frac{6}{11}, the reciprocal of \frac{11}{6}.

$$x=1100\times \frac{6}{11}$$

Express 1100\times \frac{6}{11} as a single fraction.

$$x=\frac{1100\times 6}{11}$$

Multiply 1100 and 6 to get 6600.

$$x=\frac{6600}{11}$$

Divide 6600 by 11 to get 600.

$$x=600$$