Solve 41/2*0,4*0,15*12/3=

$$4 \frac { 1 } { 2 } \cdot 0,4 \cdot 0,15 \cdot 1 \frac { 2 } { 3 } =$$

Evaluate

$$0,45$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}\times 0,4\times 0,15\times \frac{1\times 3+2}{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}\times 0,4\times 0,15\times \frac{1\times 3+2}{3}$$

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}\times \frac{2}{5}\times 0,15\times \frac{1\times 3+2}{3}$$

Multiply \frac{9}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{2\times 5}\times 0,15\times \frac{1\times 3+2}{3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{9}{5}\times 0,15\times \frac{1\times 3+2}{3}$$

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.

$$\frac{9}{5}\times \frac{3}{20}\times \frac{1\times 3+2}{3}$$

Multiply \frac{9}{5} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3}{5\times 20}\times \frac{1\times 3+2}{3}$$

Do the multiplications in the fraction \frac{9\times 3}{5\times 20}.

$$\frac{27}{100}\times \frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{27}{100}\times \frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{27}{100}\times \frac{5}{3}$$

Multiply \frac{27}{100} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 5}{100\times 3}$$

Do the multiplications in the fraction \frac{27\times 5}{100\times 3}.

$$\frac{135}{300}$$

Reduce the fraction \frac{135}{300} to lowest terms by extracting and canceling out 15.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{5 \cdot 2 ^ {2}} = 0.45$$