Solve 3*10/3+2(10/3-2)

$$3 \cdot \frac { 10 } { 3 } + 2 ( \frac { 10 } { 3 } - 2 )$$

Evaluate

$$\frac{38}{3}\approx 12.666666667$$

Solution Steps

Cancel out 3 and 3.

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

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{10}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$10+2\times \frac{10-6}{3}$$

Subtract 6 from 10 to get 4.

$$10+2\times \frac{4}{3}$$

Express 2\times \frac{4}{3} as a single fraction.

$$10+\frac{2\times 4}{3}$$

Multiply 2 and 4 to get 8.

$$10+\frac{8}{3}$$

Convert 10 to fraction \frac{30}{3}.

$$\frac{30}{3}+\frac{8}{3}$$

Since \frac{30}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{30+8}{3}$$

Add 30 and 8 to get 38.

$$\frac{38}{3}$$

Factor

$$\frac{2 \cdot 19}{3} = 12\frac{2}{3} = 12.666666666666666$$