Solve 1/3*3/11-75/11

$$\frac { 1 } { 3 } \cdot \frac { 3 } { 11 } - 7 \frac { 5 } { 11 }$$

Evaluate

$$-\frac{81}{11}\approx -7.363636364$$

Solution Steps

Multiply \frac{1}{3} times \frac{3}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{3\times 11}-\frac{7\times 11+5}{11}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{11}-\frac{7\times 11+5}{11}$$

Multiply 7 and 11 to get 77.

$$\frac{1}{11}-\frac{77+5}{11}$$

Add 77 and 5 to get 82.

$$\frac{1}{11}-\frac{82}{11}$$

Since \frac{1}{11} and \frac{82}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-82}{11}$$

Subtract 82 from 1 to get -81.

$$-\frac{81}{11}$$

Factor

$$-\frac{81}{11} = -7\frac{4}{11} = -7.363636363636363$$