Solve 9^2/9^2-4-1/9-2

$$\frac { 9 ^ { 2 } } { 9 ^ { 2 } - 4 } - \frac { 1 } { 9 - 2 }$$

Evaluate

$$\frac{10}{11}\approx 0.909090909$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\frac{81}{9^{2}-4}-\frac{1}{9-2}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{81}{81-4}-\frac{1}{9-2}$$

Subtract 4 from 81 to get 77.

$$\frac{81}{77}-\frac{1}{9-2}$$

Subtract 2 from 9 to get 7.

$$\frac{81}{77}-\frac{1}{7}$$

Least common multiple of 77 and 7 is 77. Convert \frac{81}{77} and \frac{1}{7} to fractions with denominator 77.

$$\frac{81}{77}-\frac{11}{77}$$

Since \frac{81}{77} and \frac{11}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-11}{77}$$

Subtract 11 from 81 to get 70.

$$\frac{70}{77}$$

Reduce the fraction \frac{70}{77} to lowest terms by extracting and canceling out 7.

$$\frac{10}{11}$$

Factor

$$\frac{2 \cdot 5}{11} = 0.9090909090909091$$