Solve 2/13*0.05

$$\frac{ 2 }{ 13 } \times 0.05$$

Evaluate

$$\frac{1}{130}\approx 0.007692308$$

Solution Steps

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{2}{13}\times \frac{1}{20}$$

Multiply \frac{2}{13} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{13\times 20}$$

Do the multiplications in the fraction \frac{2\times 1}{13\times 20}.

$$\frac{2}{260}$$

Reduce the fraction \frac{2}{260} to lowest terms by extracting and canceling out 2.

$$\frac{1}{130}$$

Factor

$$\frac{1}{2 \cdot 5 \cdot 13} = 0.007692307692307693$$