Solve (12/3-1/3)div(7/7*(72/2))

$$( 1 \frac { 2 } { 3 } - \frac { 1 } { 3 } ) \div ( \frac { 7 } { 7 } \times ( 7 \frac { 2 } { 2 } ) )$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Divide 7 by 7 to get 1.

$$\frac{\frac{1\times 3+2}{3}-\frac{1}{3}}{1\times \frac{7\times 2+2}{2}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{3+2}{3}-\frac{1}{3}}{1\times \frac{7\times 2+2}{2}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{5}{3}-\frac{1}{3}}{1\times \frac{7\times 2+2}{2}}$$

Since \frac{5}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-1}{3}}{1\times \frac{7\times 2+2}{2}}$$

Subtract 1 from 5 to get 4.

$$\frac{\frac{4}{3}}{1\times \frac{7\times 2+2}{2}}$$

Multiply 7 and 2 to get 14.

$$\frac{\frac{4}{3}}{1\times \frac{14+2}{2}}$$

Add 14 and 2 to get 16.

$$\frac{\frac{4}{3}}{1\times \frac{16}{2}}$$

Divide 16 by 2 to get 8.

$$\frac{\frac{4}{3}}{1\times 8}$$

Multiply 1 and 8 to get 8.

$$\frac{\frac{4}{3}}{8}$$

Express \frac{\frac{4}{3}}{8} as a single fraction.

$$\frac{4}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$