Solve 31/3-11/10

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

Evaluate

$$\frac{67}{30}\approx 2.233333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{1\times 10+1}{10}$$

Add 9 and 1 to get 10.

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

Multiply 1 and 10 to get 10.

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

Add 10 and 1 to get 11.

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

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

$$\frac{100}{30}-\frac{33}{30}$$

Since \frac{100}{30} and \frac{33}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-33}{30}$$

Subtract 33 from 100 to get 67.

$$\frac{67}{30}$$

Factor

$$\frac{67}{2 \cdot 3 \cdot 5} = 2\frac{7}{30} = 2.2333333333333334$$