Solve 1/5*2/5*0,25+0,1/3:5/3

$$\frac { 1 } { 5 } \cdot \frac { 2 } { 5 } \cdot 0,25 + 0 , \frac { 1 } { 3 } : \frac { 5 } { 3 }$$

Evaluate

$$0,02$$

Solution Steps

Multiply \frac{1}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{5\times 5}\times 0,25+\frac{0\times \frac{1}{3}}{\frac{5}{3}}$$

Do the multiplications in the fraction \frac{1\times 2}{5\times 5}.

$$\frac{2}{25}\times 0,25+\frac{0\times \frac{1}{3}}{\frac{5}{3}}$$

Convert decimal number 0,25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{2}{25}\times \frac{1}{4}+\frac{0\times \frac{1}{3}}{\frac{5}{3}}$$

Multiply \frac{2}{25} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{25\times 4}+\frac{0\times \frac{1}{3}}{\frac{5}{3}}$$

Do the multiplications in the fraction \frac{2\times 1}{25\times 4}.

$$\frac{2}{100}+\frac{0\times \frac{1}{3}}{\frac{5}{3}}$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}+\frac{0\times \frac{1}{3}}{\frac{5}{3}}$$

Multiply 0 and \frac{1}{3} to get 0.

$$\frac{1}{50}+\frac{0}{\frac{5}{3}}$$

Zero divided by any non-zero number gives zero.

$$\frac{1}{50}+0$$

Add \frac{1}{50} and 0 to get \frac{1}{50}.

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$