Solve 1/3*3.54^2*5

$$\frac{ 1 }{ 3 } \times { 3.54 }^{ 2 } \times 5$$

Evaluate

$$20.886$$

Solution Steps

Calculate 3.54 to the power of 2 and get 12.5316.

$$\frac{1}{3}\times 12.5316\times 5$$

Convert decimal number 12.5316 to fraction \frac{125316}{10000}. Reduce the fraction \frac{125316}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{31329}{2500}\times 5$$

Multiply \frac{1}{3} times \frac{31329}{2500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 31329}{3\times 2500}\times 5$$

Do the multiplications in the fraction \frac{1\times 31329}{3\times 2500}.

$$\frac{31329}{7500}\times 5$$

Reduce the fraction \frac{31329}{7500} to lowest terms by extracting and canceling out 3.

$$\frac{10443}{2500}\times 5$$

Express \frac{10443}{2500}\times 5 as a single fraction.

$$\frac{10443\times 5}{2500}$$

Multiply 10443 and 5 to get 52215.

$$\frac{52215}{2500}$$

Reduce the fraction \frac{52215}{2500} to lowest terms by extracting and canceling out 5.

$$\frac{10443}{500}$$

Factor

$$\frac{3 \cdot 59 ^ {2}}{2 ^ {2} \cdot 5 ^ {3}} = 20\frac{443}{500} = 20.886$$