Solve 41/3-21/2=

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}-\frac{2\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{3}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{13}{3}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{13}{3}-\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{13}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{26}{6}-\frac{15}{6}$$

Since \frac{26}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-15}{6}$$

Subtract 15 from 26 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$