Solve 31/6-5/12*4

$$3 \frac { 1 } { 6 } - \frac { 5 } { 12 } \times 4$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}-\frac{5}{12}\times 4$$

Add 18 and 1 to get 19.

$$\frac{19}{6}-\frac{5}{12}\times 4$$

Express \frac{5}{12}\times 4 as a single fraction.

$$\frac{19}{6}-\frac{5\times 4}{12}$$

Multiply 5 and 4 to get 20.

$$\frac{19}{6}-\frac{20}{12}$$

Reduce the fraction \frac{20}{12} to lowest terms by extracting and canceling out 4.

$$\frac{19}{6}-\frac{5}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{19}{6} and \frac{5}{3} to fractions with denominator 6.

$$\frac{19}{6}-\frac{10}{6}$$

Since \frac{19}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-10}{6}$$

Subtract 10 from 19 to get 9.

$$\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$