Solve 43/4-21/12

$$4 \frac{ 3 }{ 4 } -2 \frac{ 1 }{ 12 }$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+3}{4}-\frac{2\times 12+1}{12}$$

Add 16 and 3 to get 19.

$$\frac{19}{4}-\frac{2\times 12+1}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{19}{4}-\frac{24+1}{12}$$

Add 24 and 1 to get 25.

$$\frac{19}{4}-\frac{25}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{19}{4} and \frac{25}{12} to fractions with denominator 12.

$$\frac{57}{12}-\frac{25}{12}$$

Since \frac{57}{12} and \frac{25}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-25}{12}$$

Subtract 25 from 57 to get 32.

$$\frac{32}{12}$$

Reduce the fraction \frac{32}{12} to lowest terms by extracting and canceling out 4.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$