Solve 0.012/1.210^-51/4.256

$$\frac{ 0.012 }{ 1.2 { 10 }^{ -5 } } \frac{ 1 }{ 4.256 }$$

Evaluate

$$\frac{31250}{133}\approx 234.962406015$$

Solution Steps

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

$$\frac{0.012}{1.2\times \frac{1}{100000}}\times \frac{1}{4.256}$$

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

$$\frac{0.012}{\frac{3}{250000}}\times \frac{1}{4.256}$$

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

$$0.012\times \frac{250000}{3}\times \frac{1}{4.256}$$

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

$$1000\times \frac{1}{4.256}$$

Expand \frac{1}{4.256} by multiplying both numerator and the denominator by 1000.

$$1000\times \frac{1000}{4256}$$

Reduce the fraction \frac{1000}{4256} to lowest terms by extracting and canceling out 8.

$$1000\times \frac{125}{532}$$

Multiply 1000 and \frac{125}{532} to get \frac{31250}{133}.

$$\frac{31250}{133}$$

Factor

$$\frac{2 \cdot 5 ^ {6}}{7 \cdot 19} = 234\frac{128}{133} = 234.9624060150376$$