Solve 5/6+1/2-3/4

$$\frac{ 5 }{ 6 } + \frac{ 1 }{ 2 } - \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{5}{6}+\frac{3}{6}-\frac{3}{4}$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{6}-\frac{3}{4}$$

Add 5 and 3 to get 8.

$$\frac{8}{6}-\frac{3}{4}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{16}{12}-\frac{9}{12}$$

Since \frac{16}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-9}{12}$$

Subtract 9 from 16 to get 7.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$