Solve 1/2*1.6*{left(frac{24/1.6right)}^2}{12}

$$\frac{ \frac{ 1 }{ 2 } \times 1.6 \times { \left( \frac{ 24 }{ 1.6 } \right) }^{ 2 } }{ 12 }$$

Evaluate

$$15$$

Solution Steps

Multiply \frac{1}{2} and 1.6 to get \frac{4}{5}.

$$\frac{\frac{4}{5}\times \left(\frac{24}{1.6}\right)^{2}}{12}$$

Expand \frac{24}{1.6} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{4}{5}\times \left(\frac{240}{16}\right)^{2}}{12}$$

Divide 240 by 16 to get 15.

$$\frac{\frac{4}{5}\times 15^{2}}{12}$$

Calculate 15 to the power of 2 and get 225.

$$\frac{\frac{4}{5}\times 225}{12}$$

Multiply \frac{4}{5} and 225 to get 180.

$$\frac{180}{12}$$

Divide 180 by 12 to get 15.

$$15$$

Factor

$$3\times 5$$