Solve 56/13-111/13

$$5 \frac { 6 } { 13 } - 1 \frac { 11 } { 13 }$$

Evaluate

$$\frac{47}{13}\approx 3.615384615$$

Solution Steps

Multiply 5 and 13 to get 65.

$$\frac{65+6}{13}-\frac{1\times 13+11}{13}$$

Add 65 and 6 to get 71.

$$\frac{71}{13}-\frac{1\times 13+11}{13}$$

Multiply 1 and 13 to get 13.

$$\frac{71}{13}-\frac{13+11}{13}$$

Add 13 and 11 to get 24.

$$\frac{71}{13}-\frac{24}{13}$$

Since \frac{71}{13} and \frac{24}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-24}{13}$$

Subtract 24 from 71 to get 47.

$$\frac{47}{13}$$

Factor

$$\frac{47}{13} = 3\frac{8}{13} = 3.6153846153846154$$