Solve 1/0.027*frac{65{6}}=

$$\frac{ 1 }{ 0.027 \times \frac{ 65 }{ 6 } } =$$

Evaluate

$$\frac{400}{117}\approx 3.418803419$$

Solution Steps

Convert decimal number 0.027 to fraction \frac{27}{1000}.

$$\frac{1}{\frac{27}{1000}\times \frac{65}{6}}$$

Multiply \frac{27}{1000} times \frac{65}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{\frac{27\times 65}{1000\times 6}}$$

Do the multiplications in the fraction \frac{27\times 65}{1000\times 6}.

$$\frac{1}{\frac{1755}{6000}}$$

Reduce the fraction \frac{1755}{6000} to lowest terms by extracting and canceling out 15.

$$\frac{1}{\frac{117}{400}}$$

Divide 1 by \frac{117}{400} by multiplying 1 by the reciprocal of \frac{117}{400}.

$$1\times \frac{400}{117}$$

Multiply 1 and \frac{400}{117} to get \frac{400}{117}.

$$\frac{400}{117}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{13 \cdot 3 ^ {2}} = 3\frac{49}{117} = 3.4188034188034186$$