Solve 310/12+15/6=

$$3 \frac { 10 } { 12 } + 1 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+10}{12}+\frac{1\times 6+5}{6}$$

Add 36 and 10 to get 46.

$$\frac{46}{12}+\frac{1\times 6+5}{6}$$

Reduce the fraction \frac{46}{12} to lowest terms by extracting and canceling out 2.

$$\frac{23}{6}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{23}{6}+\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{23}{6}+\frac{11}{6}$$

Since \frac{23}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{23+11}{6}$$

Add 23 and 11 to get 34.

$$\frac{34}{6}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$