Solve 31/8-12/3

$$3 \frac { 1 } { 8 } - 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{35}{24}\approx 1.458333333$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+1}{8}-\frac{1\times 3+2}{3}$$

Add 24 and 1 to get 25.

$$\frac{25}{8}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{25}{8}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{25}{8}-\frac{5}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{25}{8} and \frac{5}{3} to fractions with denominator 24.

$$\frac{75}{24}-\frac{40}{24}$$

Since \frac{75}{24} and \frac{40}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-40}{24}$$

Subtract 40 from 75 to get 35.

$$\frac{35}{24}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3} \cdot 3} = 1\frac{11}{24} = 1.4583333333333333$$