Solve 3/4(3.14)(5.3)^3

$$3 / 4 ( 3.14 ) ( 5.3 ) ^ { 3 }$$

Evaluate

$$350.605335$$

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.

$$\frac{3}{4}\times \frac{157}{50}\times 5.3^{3}$$

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

$$\frac{3\times 157}{4\times 50}\times 5.3^{3}$$

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

$$\frac{471}{200}\times 5.3^{3}$$

Calculate 5.3 to the power of 3 and get 148.877.

$$\frac{471}{200}\times 148.877$$

Convert decimal number 148.877 to fraction \frac{148877}{1000}.

$$\frac{471}{200}\times \frac{148877}{1000}$$

Multiply \frac{471}{200} times \frac{148877}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{471\times 148877}{200\times 1000}$$

Do the multiplications in the fraction \frac{471\times 148877}{200\times 1000}.

$$\frac{70121067}{200000}$$

Factor

$$\frac{3 \cdot 157 \cdot 53 ^ {3}}{2 ^ {6} \cdot 5 ^ {5}} = 350\frac{121067}{200000} = 350.605335$$