Solve 3{left(1/3right)}^2-221/3

$$3 { \left( \frac{ 1 }{ 3 } \right) }^{ 2 } -22 \frac{ 1 }{ 3 }$$

Evaluate

$$-22$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$3\times \frac{1}{9}-\frac{22\times 3+1}{3}$$

Multiply 3 and \frac{1}{9} to get \frac{3}{9}.

$$\frac{3}{9}-\frac{22\times 3+1}{3}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}-\frac{22\times 3+1}{3}$$

Multiply 22 and 3 to get 66.

$$\frac{1}{3}-\frac{66+1}{3}$$

Add 66 and 1 to get 67.

$$\frac{1}{3}-\frac{67}{3}$$

Since \frac{1}{3} and \frac{67}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-67}{3}$$

Subtract 67 from 1 to get -66.

$$\frac{-66}{3}$$

Divide -66 by 3 to get -22.

$$-22$$

Factor

$$-22$$