Solve 1/2(71.4)1.5^2

$$\frac{ 1 }{ 2 } (71.4) { 1.5 }^{ 2 }$$

Evaluate

$$80.325$$

Solution Steps

Convert decimal number 71.4 to fraction \frac{714}{10}. Reduce the fraction \frac{714}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{357}{5}\times 1.5^{2}$$

Multiply \frac{1}{2} times \frac{357}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 357}{2\times 5}\times 1.5^{2}$$

Do the multiplications in the fraction \frac{1\times 357}{2\times 5}.

$$\frac{357}{10}\times 1.5^{2}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{357}{10}\times 2.25$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{357}{10}\times \frac{9}{4}$$

Multiply \frac{357}{10} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{357\times 9}{10\times 4}$$

Do the multiplications in the fraction \frac{357\times 9}{10\times 4}.

$$\frac{3213}{40}$$

Factor

$$\frac{7 \cdot 17 \cdot 3 ^ {3}}{5 \cdot 2 ^ {3}} = 80\frac{13}{40} = 80.325$$