Solve 2b/81-a/8-8/1

$$\frac { 2 b } { 81 } - a / 8 - 8 / 1$$

Evaluate

$$\frac{2b}{81}-\frac{a}{8}-8$$

Short Solution Steps

Anything divided by one gives itself.

$$\frac{2b}{81}-\frac{a}{8}-8$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 81 and 8 is 648. Multiply \frac{2b}{81} times \frac{8}{8}. Multiply \frac{a}{8} times \frac{81}{81}.

$$\frac{8\times 2b}{648}-\frac{81a}{648}-8$$

Since \frac{8\times 2b}{648} and \frac{81a}{648} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8\times 2b-81a}{648}-8$$

Do the multiplications in 8\times 2b-81a.

$$\frac{16b-81a}{648}-8$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{648}{648}.

$$\frac{16b-81a}{648}-\frac{8\times 648}{648}$$

Since \frac{16b-81a}{648} and \frac{8\times 648}{648} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16b-81a-8\times 648}{648}$$

Do the multiplications in 16b-81a-8\times 648.

$$\frac{16b-81a-5184}{648}$$

Factor

$$\frac{-81a+16b-5184}{648}$$

Solution Steps

Factor out \frac{1}{648}.

$$\frac{16b-81a-5184}{648}$$