Solve 1/3(6*52/3-12)-52/3/2

$$\frac{ 1 }{ 3 } (6 \times \frac{ 52 }{ 3 } -12)- \frac{ \frac{ 52 }{ 3 } }{ 2 }$$

Evaluate

$$22$$

Solution Steps

Express 6\times \frac{52}{3} as a single fraction.

$$\frac{1}{3}\left(\frac{6\times 52}{3}-12\right)-\frac{\frac{52}{3}}{2}$$

Multiply 6 and 52 to get 312.

$$\frac{1}{3}\left(\frac{312}{3}-12\right)-\frac{\frac{52}{3}}{2}$$

Divide 312 by 3 to get 104.

$$\frac{1}{3}\left(104-12\right)-\frac{\frac{52}{3}}{2}$$

Subtract 12 from 104 to get 92.

$$\frac{1}{3}\times 92-\frac{\frac{52}{3}}{2}$$

Multiply \frac{1}{3} and 92 to get \frac{92}{3}.

$$\frac{92}{3}-\frac{\frac{52}{3}}{2}$$

Express \frac{\frac{52}{3}}{2} as a single fraction.

$$\frac{92}{3}-\frac{52}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{92}{3}-\frac{52}{6}$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$\frac{92}{3}-\frac{26}{3}$$

Since \frac{92}{3} and \frac{26}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-26}{3}$$

Subtract 26 from 92 to get 66.

$$\frac{66}{3}$$

Divide 66 by 3 to get 22.

$$22$$

Factor

$$2\times 11$$