Solve 4/33.14*9^3

$$\frac { 4 } { 3 } 3.14 \times 9 ^ { 3 }$$

Evaluate

$$3052.08$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 9^{3}$$

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

$$\frac{4\times 157}{3\times 50}\times 9^{3}$$

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

$$\frac{628}{150}\times 9^{3}$$

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

$$\frac{314}{75}\times 9^{3}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{314}{75}\times 729$$

Express \frac{314}{75}\times 729 as a single fraction.

$$\frac{314\times 729}{75}$$

Multiply 314 and 729 to get 228906.

$$\frac{228906}{75}$$

Reduce the fraction \frac{228906}{75} to lowest terms by extracting and canceling out 3.

$$\frac{76302}{25}$$

Factor

$$\frac{2 \cdot 157 \cdot 3 ^ {5}}{5 ^ {2}} = 3052\frac{2}{25} = 3052.08$$