Solve 100/1000:5/10*4/20=

$$\frac { 100 } { 1000 } : \frac { 5 } { 10 } \times \frac { 4 } { 20 } =$$

Evaluate

$$\frac{1}{25}=0.04$$

Solution Steps

Divide \frac{100}{1000} by \frac{5}{10} by multiplying \frac{100}{1000} by the reciprocal of \frac{5}{10}.

$$\frac{100\times 10}{1000\times 5}\times \frac{4}{20}$$

Cancel out 10\times 100 in both numerator and denominator.

$$\frac{1}{5}\times \frac{4}{20}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{1}{5}\times \frac{1}{5}$$

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

$$\frac{1\times 1}{5\times 5}$$

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

$$\frac{1}{25}$$

Factor

$$\frac{1}{5 ^ {2}} = 0.04$$