Solve 6/100*10,06/6

$$\frac { 6 } { 100 } \cdot \frac { 10,06 } { 6 }$$

Evaluate

$$0,1006$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$\frac{3}{50}\times \frac{10,06}{6}$$

Expand \frac{10,06}{6} by multiplying both numerator and the denominator by 100.

$$\frac{3}{50}\times \frac{1006}{600}$$

Reduce the fraction \frac{1006}{600} to lowest terms by extracting and canceling out 2.

$$\frac{3}{50}\times \frac{503}{300}$$

Multiply \frac{3}{50} times \frac{503}{300} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 503}{50\times 300}$$

Do the multiplications in the fraction \frac{3\times 503}{50\times 300}.

$$\frac{1509}{15000}$$

Reduce the fraction \frac{1509}{15000} to lowest terms by extracting and canceling out 3.

$$\frac{503}{5000}$$

Factor

$$\frac{503}{2 ^ {3} \cdot 5 ^ {4}} = 0.1006$$