Solve 517/11-5/116

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

Evaluate

$$\frac{42}{11}\approx 3.818181818$$

Solution Steps

Multiply 5 and 11 to get 55.

$$\frac{55+17}{11}-\frac{5}{11}\times 6$$

Add 55 and 17 to get 72.

$$\frac{72}{11}-\frac{5}{11}\times 6$$

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

$$\frac{72}{11}-\frac{5\times 6}{11}$$

Multiply 5 and 6 to get 30.

$$\frac{72}{11}-\frac{30}{11}$$

Since \frac{72}{11} and \frac{30}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-30}{11}$$

Subtract 30 from 72 to get 42.

$$\frac{42}{11}$$

Factor

$$\frac{2 \cdot 3 \cdot 7}{11} = 3\frac{9}{11} = 3.8181818181818183$$