Solve 41/2-12/3=

$$4 \frac { 1 } { 2 } - 1 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}-\frac{1\times 3+2}{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{9}{2}-\frac{5}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{27}{6}-\frac{10}{6}$$

Since \frac{27}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-10}{6}$$

Subtract 10 from 27 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$