Solve 2*(31/3+11/6)

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

Evaluate

$$9$$

Solution Steps

Multiply 3 and 3 to get 9.

$$2\left(\frac{9+1}{3}+\frac{1\times 6+1}{6}\right)$$

Add 9 and 1 to get 10.

$$2\left(\frac{10}{3}+\frac{1\times 6+1}{6}\right)$$

Multiply 1 and 6 to get 6.

$$2\left(\frac{10}{3}+\frac{6+1}{6}\right)$$

Add 6 and 1 to get 7.

$$2\left(\frac{10}{3}+\frac{7}{6}\right)$$

Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{7}{6} to fractions with denominator 6.

$$2\left(\frac{20}{6}+\frac{7}{6}\right)$$

Since \frac{20}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$2\times \frac{20+7}{6}$$

Add 20 and 7 to get 27.

$$2\times \frac{27}{6}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$2\times \frac{9}{2}$$

Cancel out 2 and 2.

$$9$$

Factor

$$3^{2}$$