Solve 3/4+7/12-7/6

$$\frac{ 3 }{ 4 } + \frac{ 7 }{ 12 } - \frac{ 7 }{ 6 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert \frac{3}{4} and \frac{7}{12} to fractions with denominator 12.

$$\frac{9}{12}+\frac{7}{12}-\frac{7}{6}$$

Since \frac{9}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+7}{12}-\frac{7}{6}$$

Add 9 and 7 to get 16.

$$\frac{16}{12}-\frac{7}{6}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

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

Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{7}{6} to fractions with denominator 6.

$$\frac{8}{6}-\frac{7}{6}$$

Since \frac{8}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-7}{6}$$

Subtract 7 from 8 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$