Solve 4/6^5-6/9

$$\frac { 4 } { 6 ^ { 5 } } - \frac { 6 } { 9 }$$

Evaluate

$$-\frac{1295}{1944}\approx -0.666152263$$

Solution Steps

Calculate 6 to the power of 5 and get 7776.

$$\frac{4}{7776}-\frac{6}{9}$$

Reduce the fraction \frac{4}{7776} to lowest terms by extracting and canceling out 4.

$$\frac{1}{1944}-\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{1944}-\frac{2}{3}$$

Least common multiple of 1944 and 3 is 1944. Convert \frac{1}{1944} and \frac{2}{3} to fractions with denominator 1944.

$$\frac{1}{1944}-\frac{1296}{1944}$$

Since \frac{1}{1944} and \frac{1296}{1944} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-1296}{1944}$$

Subtract 1296 from 1 to get -1295.

$$-\frac{1295}{1944}$$

Factor

$$-\frac{1295}{1944} = -0.6661522633744856$$