Solve x=1.50+(35/2-17)/6

$$x = 1.50 + \frac { ( \frac { 35 } { 2 } - 17 ) } { 6 }$$

Solve for x

$$x = \frac{19}{12} = 1\frac{7}{12} \approx 1.583333333$$

Steps for Solving Linear Equation

Convert 17 to fraction \frac{34}{2}.

$$x=1.5+\frac{\frac{35}{2}-\frac{34}{2}}{6}$$

Since \frac{35}{2} and \frac{34}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=1.5+\frac{\frac{35-34}{2}}{6}$$

Subtract 34 from 35 to get 1.

$$x=1.5+\frac{\frac{1}{2}}{6}$$

Express \frac{\frac{1}{2}}{6} as a single fraction.

$$x=1.5+\frac{1}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$x=1.5+\frac{1}{12}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{3}{2}+\frac{1}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{3}{2} and \frac{1}{12} to fractions with denominator 12.

$$x=\frac{18}{12}+\frac{1}{12}$$

Since \frac{18}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$x=\frac{18+1}{12}$$

Add 18 and 1 to get 19.

$$x=\frac{19}{12}$$

Assign x

$$x≔\frac{19}{12}$$