Solve 1/(1/100)*(1/470)*(1/47)

$$1 / ( 1 / 100 ) \cdot ( 1 / 470 ) \cdot ( 1 / 47 )$$

Evaluate

$$\frac{10}{2209}\approx 0.004526935$$

Solution Steps

Divide 1 by \frac{1}{100} by multiplying 1 by the reciprocal of \frac{1}{100}.

$$1\times 100\times \frac{1}{470}\times \frac{1}{47}$$

Multiply 1 and 100 to get 100.

$$100\times \frac{1}{470}\times \frac{1}{47}$$

Multiply 100 and \frac{1}{470} to get \frac{100}{470}.

$$\frac{100}{470}\times \frac{1}{47}$$

Reduce the fraction \frac{100}{470} to lowest terms by extracting and canceling out 10.

$$\frac{10}{47}\times \frac{1}{47}$$

Multiply \frac{10}{47} times \frac{1}{47} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 1}{47\times 47}$$

Do the multiplications in the fraction \frac{10\times 1}{47\times 47}.

$$\frac{10}{2209}$$

Factor

$$\frac{2 \cdot 5}{47 ^ {2}} = 0.004526935264825713$$