Solve 1/3*1.8^2*1.5

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

Evaluate

$$1.62$$

Solution Steps

Calculate 1.8 to the power of 2 and get 3.24.

$$\frac{1}{3}\times 3.24\times 1.5$$

Convert decimal number 3.24 to fraction \frac{324}{100}. Reduce the fraction \frac{324}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{81}{25}\times 1.5$$

Multiply \frac{1}{3} times \frac{81}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 81}{3\times 25}\times 1.5$$

Do the multiplications in the fraction \frac{1\times 81}{3\times 25}.

$$\frac{81}{75}\times 1.5$$

Reduce the fraction \frac{81}{75} to lowest terms by extracting and canceling out 3.

$$\frac{27}{25}\times 1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{27}{25}\times \frac{3}{2}$$

Multiply \frac{27}{25} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 3}{25\times 2}$$

Do the multiplications in the fraction \frac{27\times 3}{25\times 2}.

$$\frac{81}{50}$$

Factor

$$\frac{3 ^ {4}}{2 \cdot 5 ^ {2}} = 1\frac{31}{50} = 1.62$$