Solve 1/2(5.2)2.4^2

$$\frac { 1 } { 2 } ( 5.2 ) 2.4 ^ { 2 }$$

Evaluate

$$14.976$$

Solution Steps

Convert decimal number 5.2 to fraction \frac{52}{10}. Reduce the fraction \frac{52}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{26}{5}\times 2.4^{2}$$

Multiply \frac{1}{2} times \frac{26}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 26}{2\times 5}\times 2.4^{2}$$

Do the multiplications in the fraction \frac{1\times 26}{2\times 5}.

$$\frac{26}{10}\times 2.4^{2}$$

Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{5}\times 2.4^{2}$$

Calculate 2.4 to the power of 2 and get 5.76.

$$\frac{13}{5}\times 5.76$$

Convert decimal number 5.76 to fraction \frac{576}{100}. Reduce the fraction \frac{576}{100} to lowest terms by extracting and canceling out 4.

$$\frac{13}{5}\times \frac{144}{25}$$

Multiply \frac{13}{5} times \frac{144}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 144}{5\times 25}$$

Do the multiplications in the fraction \frac{13\times 144}{5\times 25}.

$$\frac{1872}{125}$$

Factor

$$\frac{13 \cdot 2 ^ {4} \cdot 3 ^ {2}}{5 ^ {3}} = 14\frac{122}{125} = 14.976$$