Solve 26/12+15/6

$$2 \frac { 6 } { 12 } + 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{24+6}{12}+\frac{1\times 6+5}{6}$$

Add 24 and 6 to get 30.

$$\frac{30}{12}+\frac{1\times 6+5}{6}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{5}{2}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

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

Add 6 and 5 to get 11.

$$\frac{5}{2}+\frac{11}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{5}{2} and \frac{11}{6} to fractions with denominator 6.

$$\frac{15}{6}+\frac{11}{6}$$

Since \frac{15}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+11}{6}$$

Add 15 and 11 to get 26.

$$\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$