Solve 13/12*6+31/6

$$\frac { 13 } { 12 } * 6 + \frac { 31 } { 6 }$$

Evaluate

$$\frac{35}{3}\approx 11.666666667$$

Solution Steps

Express \frac{13}{12}\times 6 as a single fraction.

$$\frac{13\times 6}{12}+\frac{31}{6}$$

Multiply 13 and 6 to get 78.

$$\frac{78}{12}+\frac{31}{6}$$

Reduce the fraction \frac{78}{12} to lowest terms by extracting and canceling out 6.

$$\frac{13}{2}+\frac{31}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{13}{2} and \frac{31}{6} to fractions with denominator 6.

$$\frac{39}{6}+\frac{31}{6}$$

Since \frac{39}{6} and \frac{31}{6} have the same denominator, add them by adding their numerators.

$$\frac{39+31}{6}$$

Add 39 and 31 to get 70.

$$\frac{70}{6}$$

Reduce the fraction \frac{70}{6} to lowest terms by extracting and canceling out 2.

$$\frac{35}{3}$$

Factor

$$\frac{5 \cdot 7}{3} = 11\frac{2}{3} = 11.666666666666666$$