Solve 29/2-6/122+33

$$\frac{ \frac{ 29 }{ 2 } -6 }{ 12 } 2+33$$

Evaluate

$$\frac{413}{12}\approx 34.416666667$$

Solution Steps

Convert 6 to fraction \frac{12}{2}.

$$\frac{\frac{29}{2}-\frac{12}{2}}{12}\times 2+33$$

Since \frac{29}{2} and \frac{12}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{29-12}{2}}{12}\times 2+33$$

Subtract 12 from 29 to get 17.

$$\frac{\frac{17}{2}}{12}\times 2+33$$

Express \frac{\frac{17}{2}}{12} as a single fraction.

$$\frac{17}{2\times 12}\times 2+33$$

Multiply 2 and 12 to get 24.

$$\frac{17}{24}\times 2+33$$

Express \frac{17}{24}\times 2 as a single fraction.

$$\frac{17\times 2}{24}+33$$

Multiply 17 and 2 to get 34.

$$\frac{34}{24}+33$$

Reduce the fraction \frac{34}{24} to lowest terms by extracting and canceling out 2.

$$\frac{17}{12}+33$$

Convert 33 to fraction \frac{396}{12}.

$$\frac{17}{12}+\frac{396}{12}$$

Since \frac{17}{12} and \frac{396}{12} have the same denominator, add them by adding their numerators.

$$\frac{17+396}{12}$$

Add 17 and 396 to get 413.

$$\frac{413}{12}$$

Factor

$$\frac{7 \cdot 59}{2 ^ {2} \cdot 3} = 34\frac{5}{12} = 34.416666666666664$$