Solve 1-3(1/3-3)/2

$$1 - 3 \frac { ( \frac { 1 } { 3 } - 3 ) } { 2 }$$

Evaluate

$$5$$

Solution Steps

Convert 3 to fraction \frac{9}{3}.

$$1-3\times \frac{\frac{1}{3}-\frac{9}{3}}{2}$$

Since \frac{1}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$1-3\times \frac{\frac{1-9}{3}}{2}$$

Subtract 9 from 1 to get -8.

$$1-3\times \frac{-\frac{8}{3}}{2}$$

Express \frac{-\frac{8}{3}}{2} as a single fraction.

$$1-3\times \frac{-8}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$1-3\times \frac{-8}{6}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

$$1-3\left(-\frac{4}{3}\right)$$

Cancel out 3 and 3.

$$1-\left(-4\right)$$

The opposite of -4 is 4.

$$1+4$$

Add 1 and 4 to get 5.

$$5$$

Factor

$$5$$