Solve 3*5/6-6

$$3 \times \frac { 5 } { 6 } - 6$$

Evaluate

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

Solution Steps

Express 3\times \frac{5}{6} as a single fraction.

$$\frac{3\times 5}{6}-6$$

Multiply 3 and 5 to get 15.

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

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}-6$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{5}{2}-\frac{12}{2}$$

Since \frac{5}{2} and \frac{12}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-12}{2}$$

Subtract 12 from 5 to get -7.

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

Factor

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