Solve 3142/4(95/8*95/8)

$$\frac{ 3142 }{ 4 } ( \frac{ 95 }{ 8 } \times \frac{ 95 }{ 8 } )$$

Evaluate

$$\frac{14178275}{128}=110767.7734375$$

Solution Steps

Reduce the fraction \frac{3142}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1571}{2}\times \frac{95}{8}\times \frac{95}{8}$$

Multiply \frac{1571}{2} times \frac{95}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1571\times 95}{2\times 8}\times \frac{95}{8}$$

Do the multiplications in the fraction \frac{1571\times 95}{2\times 8}.

$$\frac{149245}{16}\times \frac{95}{8}$$

Multiply \frac{149245}{16} times \frac{95}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{149245\times 95}{16\times 8}$$

Do the multiplications in the fraction \frac{149245\times 95}{16\times 8}.

$$\frac{14178275}{128}$$

Factor

$$\frac{5 ^ {2} \cdot 19 ^ {2} \cdot 1571}{2 ^ {7}} = 110767\frac{99}{128} = 110767.7734375$$