Solve =2(6*2/3*2/3+5*2/3-6)

$$= 2 ( 6 \times \frac { 2 } { 3 } \times \frac { 2 } { 3 } + 5 \times \frac { 2 } { 3 } - 6 )$$

Evaluate

$$0$$

Solution Steps

Express 6\times \frac{2}{3} as a single fraction.

$$2\left(\frac{6\times 2}{3}\times \frac{2}{3}+5\times \frac{2}{3}-6\right)$$

Multiply 6 and 2 to get 12.

$$2\left(\frac{12}{3}\times \frac{2}{3}+5\times \frac{2}{3}-6\right)$$

Divide 12 by 3 to get 4.

$$2\left(4\times \frac{2}{3}+5\times \frac{2}{3}-6\right)$$

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

$$2\left(\frac{4\times 2}{3}+5\times \frac{2}{3}-6\right)$$

Multiply 4 and 2 to get 8.

$$2\left(\frac{8}{3}+5\times \frac{2}{3}-6\right)$$

Express 5\times \frac{2}{3} as a single fraction.

$$2\left(\frac{8}{3}+\frac{5\times 2}{3}-6\right)$$

Multiply 5 and 2 to get 10.

$$2\left(\frac{8}{3}+\frac{10}{3}-6\right)$$

Since \frac{8}{3} and \frac{10}{3} have the same denominator, add them by adding their numerators.

$$2\left(\frac{8+10}{3}-6\right)$$

Add 8 and 10 to get 18.

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

Divide 18 by 3 to get 6.

$$2\left(6-6\right)$$

Subtract 6 from 6 to get 0.

$$2\times 0$$

Multiply 2 and 0 to get 0.

$$0$$

Factor

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