Solve 3.14*{left(0.4/2right)}^2*15

$$3.14 \times { \left( \frac{ 0.4 }{ 2 } \right) }^{ 2 } \times 15$$

Evaluate

$$1.884$$

Solution Steps

Expand \frac{0.4}{2} by multiplying both numerator and the denominator by 10.

$$3.14\times \left(\frac{4}{20}\right)^{2}\times 15$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$3.14\times \left(\frac{1}{5}\right)^{2}\times 15$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$3.14\times \frac{1}{25}\times 15$$

Multiply 3.14 and \frac{1}{25} to get \frac{157}{1250}.

$$\frac{157}{1250}\times 15$$

Multiply \frac{157}{1250} and 15 to get \frac{471}{250}.

$$\frac{471}{250}$$

Factor

$$\frac{3 \cdot 157}{2 \cdot 5 ^ {3}} = 1\frac{221}{250} = 1.884$$