Solve (1/20)div(145/54)=

$$( \frac{ 1 }{ 20 } ) \div ( \frac{ 145 }{ 54 } )=$$

Evaluate

$$\frac{27}{1450}\approx 0.01862069$$

Solution Steps

Divide \frac{1}{20} by \frac{145}{54} by multiplying \frac{1}{20} by the reciprocal of \frac{145}{54}.

$$\frac{1}{20}\times \frac{54}{145}$$

Multiply \frac{1}{20} times \frac{54}{145} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 54}{20\times 145}$$

Do the multiplications in the fraction \frac{1\times 54}{20\times 145}.

$$\frac{54}{2900}$$

Reduce the fraction \frac{54}{2900} to lowest terms by extracting and canceling out 2.

$$\frac{27}{1450}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5 ^ {2} \cdot 29} = 0.018620689655172412$$