Solve 0.012/1.2*10^-5*1/6.256

$$\frac { 0.012 } { 1.2 \times 10 ^ { - 5 } } \times \frac { 1 } { 6.256 }$$

Evaluate

$$\frac{62500}{391}\approx 159.846547315$$

Solution Steps

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{0.012}{1.2\times \frac{1}{100000}}\times \frac{1}{6.256}$$

Multiply 1.2 and \frac{1}{100000} to get \frac{3}{250000}.

$$\frac{0.012}{\frac{3}{250000}}\times \frac{1}{6.256}$$

Divide 0.012 by \frac{3}{250000} by multiplying 0.012 by the reciprocal of \frac{3}{250000}.

$$0.012\times \frac{250000}{3}\times \frac{1}{6.256}$$

Multiply 0.012 and \frac{250000}{3} to get 1000.

$$1000\times \frac{1}{6.256}$$

Expand \frac{1}{6.256} by multiplying both numerator and the denominator by 1000.

$$1000\times \frac{1000}{6256}$$

Reduce the fraction \frac{1000}{6256} to lowest terms by extracting and canceling out 8.

$$1000\times \frac{125}{782}$$

Multiply 1000 and \frac{125}{782} to get \frac{62500}{391}.

$$\frac{62500}{391}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {6}}{17 \cdot 23} = 159\frac{331}{391} = 159.846547314578$$