Solve 89/11-36/11

$$8 \frac { 9 } { 11 } - 3 \frac { 6 } { 11 }$$

Evaluate

$$\frac{58}{11}\approx 5.272727273$$

Solution Steps

Multiply 8 and 11 to get 88.

$$\frac{88+9}{11}-\frac{3\times 11+6}{11}$$

Add 88 and 9 to get 97.

$$\frac{97}{11}-\frac{3\times 11+6}{11}$$

Multiply 3 and 11 to get 33.

$$\frac{97}{11}-\frac{33+6}{11}$$

Add 33 and 6 to get 39.

$$\frac{97}{11}-\frac{39}{11}$$

Since \frac{97}{11} and \frac{39}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{97-39}{11}$$

Subtract 39 from 97 to get 58.

$$\frac{58}{11}$$

Factor

$$\frac{2 \cdot 29}{11} = 5\frac{3}{11} = 5.2727272727272725$$