Solve 71/3-31/2

$$7 \frac { 1 } { 3 } - 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+1}{3}-\frac{3\times 2+1}{2}$$

Add 21 and 1 to get 22.

$$\frac{22}{3}-\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{22}{3}-\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{22}{3}-\frac{7}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{22}{3} and \frac{7}{2} to fractions with denominator 6.

$$\frac{44}{6}-\frac{21}{6}$$

Since \frac{44}{6} and \frac{21}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-21}{6}$$

Subtract 21 from 44 to get 23.

$$\frac{23}{6}$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$