Solve 0,02:3/100*0,9=

$$0,02 : \frac { 3 } { 100 } \cdot 0,9 =$$

Evaluate

$$0,6$$

Solution Steps

Divide 0,02 by \frac{3}{100} by multiplying 0,02 by the reciprocal of \frac{3}{100}.

$$0,02\times \frac{100}{3}\times 0,9$$

Convert decimal number 0,02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}\times \frac{100}{3}\times 0,9$$

Multiply \frac{1}{50} times \frac{100}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 100}{50\times 3}\times 0,9$$

Do the multiplications in the fraction \frac{1\times 100}{50\times 3}.

$$\frac{100}{150}\times 0,9$$

Reduce the fraction \frac{100}{150} to lowest terms by extracting and canceling out 50.

$$\frac{2}{3}\times 0,9$$

Convert decimal number 0,9 to fraction \frac{9}{10}.

$$\frac{2}{3}\times \frac{9}{10}$$

Multiply \frac{2}{3} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{3\times 10}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 10}.

$$\frac{18}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$