Solve 21/3-12/4=

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}-\frac{1\times 4+2}{4}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}-\frac{1\times 4+2}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{7}{3}-\frac{4+2}{4}$$

Add 4 and 2 to get 6.

$$\frac{7}{3}-\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}-\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{7}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{14}{6}-\frac{9}{6}$$

Since \frac{14}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-9}{6}$$

Subtract 9 from 14 to get 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$