Solve 45(1/9)^2-141/9

$$45 ( \frac { 1 } { 9 } ) ^ { 2 } - 14 \frac { 1 } { 9 }$$

Evaluate

$$-\frac{122}{9}\approx -13.555555556$$

Solution Steps

Calculate \frac{1}{9} to the power of 2 and get \frac{1}{81}.

$$45\times \frac{1}{81}-\frac{14\times 9+1}{9}$$

Multiply 45 and \frac{1}{81} to get \frac{45}{81}.

$$\frac{45}{81}-\frac{14\times 9+1}{9}$$

Reduce the fraction \frac{45}{81} to lowest terms by extracting and canceling out 9.

$$\frac{5}{9}-\frac{14\times 9+1}{9}$$

Multiply 14 and 9 to get 126.

$$\frac{5}{9}-\frac{126+1}{9}$$

Add 126 and 1 to get 127.

$$\frac{5}{9}-\frac{127}{9}$$

Since \frac{5}{9} and \frac{127}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-127}{9}$$

Subtract 127 from 5 to get -122.

$$-\frac{122}{9}$$

Factor

$$-\frac{122}{9} = -13\frac{5}{9} = -13.555555555555555$$