Solve 1+3/2+frac{1{6}}=

$$1 + \frac { 3 } { 2 + \frac { 1 } { 6 } } =$$

Evaluate

$$\frac{31}{13}\approx 2.384615385$$

Solution Steps

Convert 2 to fraction \frac{12}{6}.

$$1+\frac{3}{\frac{12}{6}+\frac{1}{6}}$$

Since \frac{12}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$1+\frac{3}{\frac{12+1}{6}}$$

Add 12 and 1 to get 13.

$$1+\frac{3}{\frac{13}{6}}$$

Divide 3 by \frac{13}{6} by multiplying 3 by the reciprocal of \frac{13}{6}.

$$1+3\times \frac{6}{13}$$

Express 3\times \frac{6}{13} as a single fraction.

$$1+\frac{3\times 6}{13}$$

Multiply 3 and 6 to get 18.

$$1+\frac{18}{13}$$

Convert 1 to fraction \frac{13}{13}.

$$\frac{13}{13}+\frac{18}{13}$$

Since \frac{13}{13} and \frac{18}{13} have the same denominator, add them by adding their numerators.

$$\frac{13+18}{13}$$

Add 13 and 18 to get 31.

$$\frac{31}{13}$$

Factor

$$\frac{31}{13} = 2\frac{5}{13} = 2.3846153846153846$$