Solve 1/2*0.3*9^2

$$\frac{ 1 }{ 2 } \times 0.3 \times { 9 }^{ 2 }$$

Evaluate

$$12.15$$

Solution Steps

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{1}{2}\times \frac{3}{10}\times 9^{2}$$

Multiply \frac{1}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 10}\times 9^{2}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 10}.

$$\frac{3}{20}\times 9^{2}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{3}{20}\times 81$$

Express \frac{3}{20}\times 81 as a single fraction.

$$\frac{3\times 81}{20}$$

Multiply 3 and 81 to get 243.

$$\frac{243}{20}$$

Factor

$$\frac{3 ^ {5}}{5 \cdot 2 ^ {2}} = 12\frac{3}{20} = 12.15$$