Solve (64/3+82/3)-(4/2+56/6)

$$(6 \frac{ 4 }{ 3 } +8 \frac{ 2 }{ 3 } )-( \frac{ 4 }{ 2 } +5 \frac{ 6 }{ 6 } )$$

Evaluate

$$8$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+4}{3}+\frac{8\times 3+2}{3}-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Add 18 and 4 to get 22.

$$\frac{22}{3}+\frac{8\times 3+2}{3}-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Multiply 8 and 3 to get 24.

$$\frac{22}{3}+\frac{24+2}{3}-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Add 24 and 2 to get 26.

$$\frac{22}{3}+\frac{26}{3}-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Since \frac{22}{3} and \frac{26}{3} have the same denominator, add them by adding their numerators.

$$\frac{22+26}{3}-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Add 22 and 26 to get 48.

$$\frac{48}{3}-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Divide 48 by 3 to get 16.

$$16-\left(\frac{4}{2}+\frac{5\times 6+6}{6}\right)$$

Divide 4 by 2 to get 2.

$$16-\left(2+\frac{5\times 6+6}{6}\right)$$

Multiply 5 and 6 to get 30.

$$16-\left(2+\frac{30+6}{6}\right)$$

Add 30 and 6 to get 36.

$$16-\left(2+\frac{36}{6}\right)$$

Divide 36 by 6 to get 6.

$$16-\left(2+6\right)$$

Add 2 and 6 to get 8.

$$16-8$$

Subtract 8 from 16 to get 8.

$$8$$

Factor

$$2^{3}$$