Solve 36/812^2-9/64

$$\frac { 36 } { 81 } 2 ^ { 2 } - \frac { 9 } { 64 }$$

Evaluate

$$\frac{943}{576}\approx 1.637152778$$

Solution Steps

Reduce the fraction \frac{36}{81} to lowest terms by extracting and canceling out 9.

$$\frac{4}{9}\times 2^{2}-\frac{9}{64}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{9}\times 4-\frac{9}{64}$$

Express \frac{4}{9}\times 4 as a single fraction.

$$\frac{4\times 4}{9}-\frac{9}{64}$$

Multiply 4 and 4 to get 16.

$$\frac{16}{9}-\frac{9}{64}$$

Least common multiple of 9 and 64 is 576. Convert \frac{16}{9} and \frac{9}{64} to fractions with denominator 576.

$$\frac{1024}{576}-\frac{81}{576}$$

Since \frac{1024}{576} and \frac{81}{576} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1024-81}{576}$$

Subtract 81 from 1024 to get 943.

$$\frac{943}{576}$$

Factor

$$\frac{23 \cdot 41}{2 ^ {6} \cdot 3 ^ {2}} = 1\frac{367}{576} = 1.6371527777777777$$