Solve 2(3-1/6)+4/3

$$2 ( 3 - \frac { 1 } { 6 } ) + \frac { 4 } { 3 }$$

Evaluate

$$7$$

Solution Steps

Convert 3 to fraction \frac{18}{6}.

$$2\left(\frac{18}{6}-\frac{1}{6}\right)+\frac{4}{3}$$

Since \frac{18}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{18-1}{6}+\frac{4}{3}$$

Subtract 1 from 18 to get 17.

$$2\times \frac{17}{6}+\frac{4}{3}$$

Express 2\times \frac{17}{6} as a single fraction.

$$\frac{2\times 17}{6}+\frac{4}{3}$$

Multiply 2 and 17 to get 34.

$$\frac{34}{6}+\frac{4}{3}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$\frac{17}{3}+\frac{4}{3}$$

Since \frac{17}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{17+4}{3}$$

Add 17 and 4 to get 21.

$$\frac{21}{3}$$

Divide 21 by 3 to get 7.

$$7$$

Factor

$$7$$