Solve 2/3+5/6+23/12

$$\frac { 2 } { 3 } + \frac { 5 } { 6 } + 2 \frac { 3 } { 12 }$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{2}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{4}{6}+\frac{5}{6}+\frac{2\times 12+3}{12}$$

Since \frac{4}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{4+5}{6}+\frac{2\times 12+3}{12}$$

Add 4 and 5 to get 9.

$$\frac{9}{6}+\frac{2\times 12+3}{12}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}+\frac{2\times 12+3}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{3}{2}+\frac{24+3}{12}$$

Add 24 and 3 to get 27.

$$\frac{3}{2}+\frac{27}{12}$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}+\frac{9}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{9}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{9}{4}$$

Since \frac{6}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+9}{4}$$

Add 6 and 9 to get 15.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$