Solve 83/11-75/11

$$8 \frac { 3 } { 11 } - 7 \frac { 5 } { 11 }$$

Evaluate

$$\frac{9}{11}\approx 0.818181818$$

Solution Steps

Multiply 8 and 11 to get 88.

$$\frac{88+3}{11}-\frac{7\times 11+5}{11}$$

Add 88 and 3 to get 91.

$$\frac{91}{11}-\frac{7\times 11+5}{11}$$

Multiply 7 and 11 to get 77.

$$\frac{91}{11}-\frac{77+5}{11}$$

Add 77 and 5 to get 82.

$$\frac{91}{11}-\frac{82}{11}$$

Since \frac{91}{11} and \frac{82}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{91-82}{11}$$

Subtract 82 from 91 to get 9.

$$\frac{9}{11}$$

Factor

$$\frac{3 ^ {2}}{11} = 0.8181818181818182$$