Solve 23/6+44/6

$$2 \frac { 3 } { 6 } + 4 \frac { 4 } { 6 }$$

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Multiply 2 and 6 to get 12.

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

Add 12 and 3 to get 15.

$$\frac{15}{6}+\frac{4\times 6+4}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

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

Multiply 4 and 6 to get 24.

$$\frac{5}{2}+\frac{24+4}{6}$$

Add 24 and 4 to get 28.

$$\frac{5}{2}+\frac{28}{6}$$

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}+\frac{14}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{14}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{28}{6}$$

Since \frac{15}{6} and \frac{28}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+28}{6}$$

Add 15 and 28 to get 43.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$