Solve 4/3*3.14*3^3

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

Evaluate

$$113.04$$

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.

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

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

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

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

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

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

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

Calculate 3 to the power of 3 and get 27.

$$\frac{314}{75}\times 27$$

Express \frac{314}{75}\times 27 as a single fraction.

$$\frac{314\times 27}{75}$$

Multiply 314 and 27 to get 8478.

$$\frac{8478}{75}$$

Reduce the fraction \frac{8478}{75} to lowest terms by extracting and canceling out 3.

$$\frac{2826}{25}$$

Factor

$$\frac{2 \cdot 157 \cdot 3 ^ {2}}{5 ^ {2}} = 113\frac{1}{25} = 113.04$$