Solve 71/2-10/3/2

$$7 \frac { 1 } { 2 } - \frac { \frac { 10 } { 3 } } { 2 }$$

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}-\frac{\frac{10}{3}}{2}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}-\frac{\frac{10}{3}}{2}$$

Express \frac{\frac{10}{3}}{2} as a single fraction.

$$\frac{15}{2}-\frac{10}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{15}{2}-\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}-\frac{5}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{15}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{45}{6}-\frac{10}{6}$$

Since \frac{45}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-10}{6}$$

Subtract 10 from 45 to get 35.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$