Solve 3/4-5/12+15/6

$$\frac { 3 } { 4 } - \frac { 5 } { 12 } + 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert \frac{3}{4} and \frac{5}{12} to fractions with denominator 12.

$$\frac{9}{12}-\frac{5}{12}+\frac{1\times 6+5}{6}$$

Since \frac{9}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{12}+\frac{1\times 6+5}{6}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{12}+\frac{1\times 6+5}{6}$$

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

$$\frac{1}{3}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{1}{3}+\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{1}{3}+\frac{11}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{11}{6} to fractions with denominator 6.

$$\frac{2}{6}+\frac{11}{6}$$

Since \frac{2}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+11}{6}$$

Add 2 and 11 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$