Solve 1/6+1=1/3b

$$1 / 6 + 1 = 1 / 3 b$$

Solve for b

$$b = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{6}{6}.

$$\frac{1}{6}+\frac{6}{6}=\frac{1}{3}b$$

Since \frac{1}{6} and \frac{6}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{6}=\frac{1}{3}b$$

Add 1 and 6 to get 7.

$$\frac{7}{6}=\frac{1}{3}b$$

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

$$\frac{1}{3}b=\frac{7}{6}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$b=\frac{7}{6}\times 3$$

Express \frac{7}{6}\times 3 as a single fraction.

$$b=\frac{7\times 3}{6}$$

Multiply 7 and 3 to get 21.

$$b=\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$b=\frac{7}{2}$$