Solve 4/3*3.14*3.1^3

$$\frac { 4 } { 3 } \times 3.14 \times 3.1 ^ { 3 }$$

Evaluate

$$\frac{4677187}{37500}\approx 124.724986667$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 3.1^{3}$$

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

$$\frac{4\times 157}{3\times 50}\times 3.1^{3}$$

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

$$\frac{628}{150}\times 3.1^{3}$$

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

$$\frac{314}{75}\times 3.1^{3}$$

Calculate 3.1 to the power of 3 and get 29.791.

$$\frac{314}{75}\times 29.791$$

Convert decimal number 29.791 to fraction \frac{29791}{1000}.

$$\frac{314}{75}\times \frac{29791}{1000}$$

Multiply \frac{314}{75} times \frac{29791}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 29791}{75\times 1000}$$

Do the multiplications in the fraction \frac{314\times 29791}{75\times 1000}.

$$\frac{9354374}{75000}$$

Reduce the fraction \frac{9354374}{75000} to lowest terms by extracting and canceling out 2.

$$\frac{4677187}{37500}$$

Factor

$$\frac{157 \cdot 31 ^ {3}}{3 \cdot 2 ^ {2} \cdot 5 ^ {5}} = 124\frac{27187}{37500} = 124.72498666666667$$