Solve 3*9/64*5/8+27/64*8

$$3 \times \frac{ 9 }{ 64 } \times \frac{ 5 }{ 8 } + \frac{ 27 }{ 64 \times 8 }$$

Evaluate

$$\frac{81}{256}=0.31640625$$

Solution Steps

Express 3\times \frac{9}{64} as a single fraction.

$$\frac{3\times 9}{64}\times \frac{5}{8}+\frac{27}{64\times 8}$$

Multiply 3 and 9 to get 27.

$$\frac{27}{64}\times \frac{5}{8}+\frac{27}{64\times 8}$$

Multiply \frac{27}{64} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 5}{64\times 8}+\frac{27}{64\times 8}$$

Do the multiplications in the fraction \frac{27\times 5}{64\times 8}.

$$\frac{135}{512}+\frac{27}{64\times 8}$$

Multiply 64 and 8 to get 512.

$$\frac{135}{512}+\frac{27}{512}$$

Since \frac{135}{512} and \frac{27}{512} have the same denominator, add them by adding their numerators.

$$\frac{135+27}{512}$$

Add 135 and 27 to get 162.

$$\frac{162}{512}$$

Reduce the fraction \frac{162}{512} to lowest terms by extracting and canceling out 2.

$$\frac{81}{256}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {8}} = 0.31640625$$