Solve 21/4-23/12

$$\frac{ 21 }{ 4 } - \frac{ 23 }{ 12 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert \frac{21}{4} and \frac{23}{12} to fractions with denominator 12.

$$\frac{63}{12}-\frac{23}{12}$$

Since \frac{63}{12} and \frac{23}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-23}{12}$$

Subtract 23 from 63 to get 40.

$$\frac{40}{12}$$

Reduce the fraction \frac{40}{12} to lowest terms by extracting and canceling out 4.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$