Solve 11/10-11/3

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

Evaluate

$$-\frac{7}{30}\approx -0.233333333$$

Solution Steps

Multiply 1 and 10 to get 10.

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

Add 10 and 1 to get 11.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$\frac{11}{10}-\frac{4}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{11}{10} and \frac{4}{3} to fractions with denominator 30.

$$\frac{33}{30}-\frac{40}{30}$$

Since \frac{33}{30} and \frac{40}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-40}{30}$$

Subtract 40 from 33 to get -7.

$$-\frac{7}{30}$$

Factor

$$-\frac{7}{30} = -0.23333333333333334$$