Solve 41/2+62/6=

$$4 \frac { 1 } { 2 } + 6 \frac { 2 } { 6 } =$$

Evaluate

$$\frac{65}{6}\approx 10.833333333$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}+\frac{6\times 6+2}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}+\frac{6\times 6+2}{6}$$

Multiply 6 and 6 to get 36.

$$\frac{9}{2}+\frac{36+2}{6}$$

Add 36 and 2 to get 38.

$$\frac{9}{2}+\frac{38}{6}$$

Reduce the fraction \frac{38}{6} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+\frac{19}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{19}{3} to fractions with denominator 6.

$$\frac{27}{6}+\frac{38}{6}$$

Since \frac{27}{6} and \frac{38}{6} have the same denominator, add them by adding their numerators.

$$\frac{27+38}{6}$$

Add 27 and 38 to get 65.

$$\frac{65}{6}$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 3} = 10\frac{5}{6} = 10.833333333333334$$