Solve 6/4+310/12

$$\frac { 6 } { 4 } + 3 \frac { 10 } { 12 }$$

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}+\frac{3\times 12+10}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{3}{2}+\frac{36+10}{12}$$

Add 36 and 10 to get 46.

$$\frac{3}{2}+\frac{46}{12}$$

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

$$\frac{3}{2}+\frac{23}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{3}{2} and \frac{23}{6} to fractions with denominator 6.

$$\frac{9}{6}+\frac{23}{6}$$

Since \frac{9}{6} and \frac{23}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+23}{6}$$

Add 9 and 23 to get 32.

$$\frac{32}{6}$$

Reduce the fraction \frac{32}{6} to lowest terms by extracting and canceling out 2.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$