Solve 33/11-55/11=

$$3 \frac { 3 } { 11 } - 5 \frac { 5 } { 11 } =$$

Evaluate

$$-\frac{24}{11}\approx -2.181818182$$

Solution Steps

Multiply 3 and 11 to get 33.

$$\frac{33+3}{11}-\frac{5\times 11+5}{11}$$

Add 33 and 3 to get 36.

$$\frac{36}{11}-\frac{5\times 11+5}{11}$$

Multiply 5 and 11 to get 55.

$$\frac{36}{11}-\frac{55+5}{11}$$

Add 55 and 5 to get 60.

$$\frac{36}{11}-\frac{60}{11}$$

Since \frac{36}{11} and \frac{60}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-60}{11}$$

Subtract 60 from 36 to get -24.

$$-\frac{24}{11}$$

Factor

$$-\frac{24}{11} = -2\frac{2}{11} = -2.1818181818181817$$