Solve 21/463/16189/64567/256

$$\frac { 21 } { 4 } \frac { 63 } { 16 } \frac { 189 } { 64 } \frac { 567 } { 256 }$$

Evaluate

$$\frac{141776649}{1048576}=135.208748817$$

Solution Steps

Multiply \frac{21}{4} times \frac{63}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 63}{4\times 16}\times \frac{189}{64}\times \frac{567}{256}$$

Do the multiplications in the fraction \frac{21\times 63}{4\times 16}.

$$\frac{1323}{64}\times \frac{189}{64}\times \frac{567}{256}$$

Multiply \frac{1323}{64} times \frac{189}{64} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1323\times 189}{64\times 64}\times \frac{567}{256}$$

Do the multiplications in the fraction \frac{1323\times 189}{64\times 64}.

$$\frac{250047}{4096}\times \frac{567}{256}$$

Multiply \frac{250047}{4096} times \frac{567}{256} by multiplying numerator times numerator and denominator times denominator.

$$\frac{250047\times 567}{4096\times 256}$$

Do the multiplications in the fraction \frac{250047\times 567}{4096\times 256}.

$$\frac{141776649}{1048576}$$

Factor

$$\frac{3 ^ {10} \cdot 7 ^ {4}}{2 ^ {20}} = 135\frac{218889}{1048576} = 135.20874881744385$$