Solve 3.142/4(95/8*95/8)

$$\frac{ 3.142 }{ 4 } ( \frac{ 95 }{ 8 } \times \frac{ 95 }{ 8 } )$$

Evaluate

$$110.7677734375$$

Solution Steps

Expand \frac{3.142}{4} by multiplying both numerator and the denominator by 1000.

$$\frac{3142}{4000}\times \frac{95}{8}\times \frac{95}{8}$$

Reduce the fraction \frac{3142}{4000} to lowest terms by extracting and canceling out 2.

$$\frac{1571}{2000}\times \frac{95}{8}\times \frac{95}{8}$$

Multiply \frac{1571}{2000} times \frac{95}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1571\times 95}{2000\times 8}\times \frac{95}{8}$$

Do the multiplications in the fraction \frac{1571\times 95}{2000\times 8}.

$$\frac{149245}{16000}\times \frac{95}{8}$$

Reduce the fraction \frac{149245}{16000} to lowest terms by extracting and canceling out 5.

$$\frac{29849}{3200}\times \frac{95}{8}$$

Multiply \frac{29849}{3200} times \frac{95}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29849\times 95}{3200\times 8}$$

Do the multiplications in the fraction \frac{29849\times 95}{3200\times 8}.

$$\frac{2835655}{25600}$$

Reduce the fraction \frac{2835655}{25600} to lowest terms by extracting and canceling out 5.

$$\frac{567131}{5120}$$

Factor

$$\frac{1571 \cdot 19 ^ {2}}{5 \cdot 2 ^ {10}} = 110\frac{3931}{5120} = 110.7677734375$$