Solve 4/3*3.14*1.25*1.25*1.25

$$\frac{ 4 }{ 3 } \times 3.14 \times 1.25 \times 1.25 \times 1.25$$

Evaluate

$$\frac{785}{96}\approx 8.177083333$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}\times \frac{157}{50}\times 1.25\times 1.25\times 1.25$$

Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 157}{3\times 50}\times 1.25\times 1.25\times 1.25$$

Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.

$$\frac{628}{150}\times 1.25\times 1.25\times 1.25$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times 1.25\times 1.25\times 1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{314}{75}\times \frac{5}{4}\times 1.25\times 1.25$$

Multiply \frac{314}{75} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 5}{75\times 4}\times 1.25\times 1.25$$

Do the multiplications in the fraction \frac{314\times 5}{75\times 4}.

$$\frac{1570}{300}\times 1.25\times 1.25$$

Reduce the fraction \frac{1570}{300} to lowest terms by extracting and canceling out 10.

$$\frac{157}{30}\times 1.25\times 1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{157}{30}\times \frac{5}{4}\times 1.25$$

Multiply \frac{157}{30} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 5}{30\times 4}\times 1.25$$

Do the multiplications in the fraction \frac{157\times 5}{30\times 4}.

$$\frac{785}{120}\times 1.25$$

Reduce the fraction \frac{785}{120} to lowest terms by extracting and canceling out 5.

$$\frac{157}{24}\times 1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{157}{24}\times \frac{5}{4}$$

Multiply \frac{157}{24} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 5}{24\times 4}$$

Do the multiplications in the fraction \frac{157\times 5}{24\times 4}.

$$\frac{785}{96}$$

Factor

$$\frac{5 \cdot 157}{3 \cdot 2 ^ {5}} = 8\frac{17}{96} = 8.177083333333334$$