Solve 224/11-117/11-33/11

$$22 \frac { 4 } { 11 } - 11 \frac { 7 } { 11 } - 3 \frac { 3 } { 11 }$$

Evaluate

$$\frac{82}{11}\approx 7.454545455$$

Solution Steps

Multiply 22 and 11 to get 242.

$$\frac{242+4}{11}-\frac{11\times 11+7}{11}-\frac{3\times 11+3}{11}$$

Add 242 and 4 to get 246.

$$\frac{246}{11}-\frac{11\times 11+7}{11}-\frac{3\times 11+3}{11}$$

Multiply 11 and 11 to get 121.

$$\frac{246}{11}-\frac{121+7}{11}-\frac{3\times 11+3}{11}$$

Add 121 and 7 to get 128.

$$\frac{246}{11}-\frac{128}{11}-\frac{3\times 11+3}{11}$$

Since \frac{246}{11} and \frac{128}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{246-128}{11}-\frac{3\times 11+3}{11}$$

Subtract 128 from 246 to get 118.

$$\frac{118}{11}-\frac{3\times 11+3}{11}$$

Multiply 3 and 11 to get 33.

$$\frac{118}{11}-\frac{33+3}{11}$$

Add 33 and 3 to get 36.

$$\frac{118}{11}-\frac{36}{11}$$

Since \frac{118}{11} and \frac{36}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{118-36}{11}$$

Subtract 36 from 118 to get 82.

$$\frac{82}{11}$$

Factor

$$\frac{2 \cdot 41}{11} = 7\frac{5}{11} = 7.454545454545454$$