Solve 0.4*0.25/12+0.4*0.15^2

$$\frac{ 0.4 \times 0.25 }{ 12 } +0.4 \times { 0.15 }^{ 2 }$$

Evaluate

$$\frac{13}{750}\approx 0.017333333$$

Solution Steps

Multiply 0.4 and 0.25 to get 0.1.

$$\frac{0.1}{12}+0.4\times 0.15^{2}$$

Expand \frac{0.1}{12} by multiplying both numerator and the denominator by 10.

$$\frac{1}{120}+0.4\times 0.15^{2}$$

Calculate 0.15 to the power of 2 and get 0.0225.

$$\frac{1}{120}+0.4\times 0.0225$$

Multiply 0.4 and 0.0225 to get 0.009.

$$\frac{1}{120}+0.009$$

Convert decimal number 0.009 to fraction \frac{9}{1000}.

$$\frac{1}{120}+\frac{9}{1000}$$

Least common multiple of 120 and 1000 is 3000. Convert \frac{1}{120} and \frac{9}{1000} to fractions with denominator 3000.

$$\frac{25}{3000}+\frac{27}{3000}$$

Since \frac{25}{3000} and \frac{27}{3000} have the same denominator, add them by adding their numerators.

$$\frac{25+27}{3000}$$

Add 25 and 27 to get 52.

$$\frac{52}{3000}$$

Reduce the fraction \frac{52}{3000} to lowest terms by extracting and canceling out 4.

$$\frac{13}{750}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 5 ^ {3}} = 0.017333333333333333$$