Solve 1.5^2*3.14*1.8*1/3

$${ 1.5 }^{ 2 } \times 3.14 \times 1.8 \times \frac{ 1 }{ 3 }$$

Evaluate

$$4.239$$

Solution Steps

Calculate 1.5 to the power of 2 and get 2.25.

$$2.25\times 3.14\times 1.8\times \frac{1}{3}$$

Multiply 2.25 and 3.14 to get 7.065.

$$7.065\times 1.8\times \frac{1}{3}$$

Multiply 7.065 and 1.8 to get 12.717.

$$12.717\times \frac{1}{3}$$

Convert decimal number 12.717 to fraction \frac{12717}{1000}.

$$\frac{12717}{1000}\times \frac{1}{3}$$

Multiply \frac{12717}{1000} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12717\times 1}{1000\times 3}$$

Do the multiplications in the fraction \frac{12717\times 1}{1000\times 3}.

$$\frac{12717}{3000}$$

Reduce the fraction \frac{12717}{3000} to lowest terms by extracting and canceling out 3.

$$\frac{4239}{1000}$$

Factor

$$\frac{157 \cdot 3 ^ {3}}{2 ^ {3} \cdot 5 ^ {3}} = 4\frac{239}{1000} = 4.239$$