Solve 110/11-11/3=

$$1 \frac { 10 } { 11 } - 1 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{19}{33}\approx 0.575757576$$

Solution Steps

Multiply 1 and 11 to get 11.

$$\frac{11+10}{11}-\frac{1\times 3+1}{3}$$

Add 11 and 10 to get 21.

$$\frac{21}{11}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{21}{11}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{21}{11}-\frac{4}{3}$$

Least common multiple of 11 and 3 is 33. Convert \frac{21}{11} and \frac{4}{3} to fractions with denominator 33.

$$\frac{63}{33}-\frac{44}{33}$$

Since \frac{63}{33} and \frac{44}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-44}{33}$$

Subtract 44 from 63 to get 19.

$$\frac{19}{33}$$

Factor

$$\frac{19}{3 \cdot 11} = 0.5757575757575758$$