Solve 3/4-2+7/12

$$\frac{ 3 }{ 4 } -2+ \frac{ 7 }{ 12 }$$

Evaluate

$$-\frac{2}{3}\approx -0.666666667$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{3}{4}-\frac{8}{4}+\frac{7}{12}$$

Since \frac{3}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{4}+\frac{7}{12}$$

Subtract 8 from 3 to get -5.

$$-\frac{5}{4}+\frac{7}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{5}{4} and \frac{7}{12} to fractions with denominator 12.

$$-\frac{15}{12}+\frac{7}{12}$$

Since -\frac{15}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{-15+7}{12}$$

Add -15 and 7 to get -8.

$$\frac{-8}{12}$$

Reduce the fraction \frac{-8}{12} to lowest terms by extracting and canceling out 4.

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

Factor

$$-\frac{2}{3} = -0.6666666666666666$$