Solve 115/6-41/2=

$$11 \frac { 5 } { 6 } - 4 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Multiply 11 and 6 to get 66.

$$\frac{66+5}{6}-\frac{4\times 2+1}{2}$$

Add 66 and 5 to get 71.

$$\frac{71}{6}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{71}{6}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{71}{6}-\frac{9}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{71}{6} and \frac{9}{2} to fractions with denominator 6.

$$\frac{71}{6}-\frac{27}{6}$$

Since \frac{71}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-27}{6}$$

Subtract 27 from 71 to get 44.

$$\frac{44}{6}$$

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$