Solve 7-3(5/2)+6

$$7 - 3 ( \frac { 5 } { 2 } ) + 6$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Express 3\times \frac{5}{2} as a single fraction.

$$7-\frac{3\times 5}{2}+6$$

Multiply 3 and 5 to get 15.

$$7-\frac{15}{2}+6$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{14}{2}-\frac{15}{2}+6$$

Since \frac{14}{2} and \frac{15}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-15}{2}+6$$

Subtract 15 from 14 to get -1.

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

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

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

Since -\frac{1}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

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

Add -1 and 12 to get 11.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$