Solve 91/6-52/3

$$9 \frac { 1 } { 6 } - 5 \frac { 2 } { 3 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 9 and 6 to get 54.

$$\frac{54+1}{6}-\frac{5\times 3+2}{3}$$

Add 54 and 1 to get 55.

$$\frac{55}{6}-\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{55}{6}-\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{55}{6}-\frac{17}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{55}{6} and \frac{17}{3} to fractions with denominator 6.

$$\frac{55}{6}-\frac{34}{6}$$

Since \frac{55}{6} and \frac{34}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-34}{6}$$

Subtract 34 from 55 to get 21.

$$\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$