Solve 5*17/11-5/11*6

$$5 \times \frac{ 17 }{ 11 } - \frac{ 5 }{ 11 } \times 6$$

Evaluate

$$5$$

Solution Steps

Express 5\times \frac{17}{11} as a single fraction.

$$\frac{5\times 17}{11}-\frac{5}{11}\times 6$$

Multiply 5 and 17 to get 85.

$$\frac{85}{11}-\frac{5}{11}\times 6$$

Express \frac{5}{11}\times 6 as a single fraction.

$$\frac{85}{11}-\frac{5\times 6}{11}$$

Multiply 5 and 6 to get 30.

$$\frac{85}{11}-\frac{30}{11}$$

Since \frac{85}{11} and \frac{30}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-30}{11}$$

Subtract 30 from 85 to get 55.

$$\frac{55}{11}$$

Divide 55 by 11 to get 5.

$$5$$

Factor

$$5$$