Solve 1/2*0.15*25^2

$$\frac { 1 } { 2 } \times 0.15 \times 25 ^ { 2 }$$

Evaluate

$$46.875$$

Solution Steps

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{3}{20}\times 25^{2}$$

Multiply \frac{1}{2} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 20}\times 25^{2}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 20}.

$$\frac{3}{40}\times 25^{2}$$

Calculate 25 to the power of 2 and get 625.

$$\frac{3}{40}\times 625$$

Express \frac{3}{40}\times 625 as a single fraction.

$$\frac{3\times 625}{40}$$

Multiply 3 and 625 to get 1875.

$$\frac{1875}{40}$$

Reduce the fraction \frac{1875}{40} to lowest terms by extracting and canceling out 5.

$$\frac{375}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {3}} = 46\frac{7}{8} = 46.875$$