Solve 6^2/6^2-4-1/6-2=

$$\frac { 6 ^ { 2 } } { 6 ^ { 2 } - 4 } - \frac { 1 } { 6 - 2 } =$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{36}{6^{2}-4}-\frac{1}{6-2}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{36}{36-4}-\frac{1}{6-2}$$

Subtract 4 from 36 to get 32.

$$\frac{36}{32}-\frac{1}{6-2}$$

Reduce the fraction \frac{36}{32} to lowest terms by extracting and canceling out 4.

$$\frac{9}{8}-\frac{1}{6-2}$$

Subtract 2 from 6 to get 4.

$$\frac{9}{8}-\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{9}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{9}{8}-\frac{2}{8}$$

Since \frac{9}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{8}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$