Solve 3*6-4+1/2/3=?

$$3 \cdot \frac { 6 - 4 + \frac { 1 } { 2 } } { 3 } = ?$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Subtract 4 from 6 to get 2.

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

Convert 2 to fraction \frac{4}{2}.

$$3\times \frac{\frac{4}{2}+\frac{1}{2}}{3}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$3\times \frac{\frac{4+1}{2}}{3}$$

Add 4 and 1 to get 5.

$$3\times \frac{\frac{5}{2}}{3}$$

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

$$3\times \frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

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

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

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

Multiply 3 and 5 to get 15.

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

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

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$