Solve 3,45*10^-4*(0,05/7,3*10^-2+0,002/0,07)=

$$3,45 \cdot 10 ^ { - 4 } \cdot ( \frac { 0,05 } { 7,3 \cdot 10 ^ { - 2 } } + \frac { 0,002 } { 0,07 } ) =$$

Evaluate

$$\frac{125787}{511000000}\approx 0,000246159$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$3,45\times \frac{1}{10000}\left(\frac{0,05}{7,3\times 10^{-2}}+\frac{0,002}{0,07}\right)$$

Multiply 3,45 and \frac{1}{10000} to get \frac{69}{200000}.

$$\frac{69}{200000}\left(\frac{0,05}{7,3\times 10^{-2}}+\frac{0,002}{0,07}\right)$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{69}{200000}\left(\frac{0,05}{7,3\times \frac{1}{100}}+\frac{0,002}{0,07}\right)$$

Multiply 7,3 and \frac{1}{100} to get \frac{73}{1000}.

$$\frac{69}{200000}\left(\frac{0,05}{\frac{73}{1000}}+\frac{0,002}{0,07}\right)$$

Divide 0,05 by \frac{73}{1000} by multiplying 0,05 by the reciprocal of \frac{73}{1000}.

$$\frac{69}{200000}\left(0,05\times \frac{1000}{73}+\frac{0,002}{0,07}\right)$$

Multiply 0,05 and \frac{1000}{73} to get \frac{50}{73}.

$$\frac{69}{200000}\left(\frac{50}{73}+\frac{0,002}{0,07}\right)$$

Expand \frac{0,002}{0,07} by multiplying both numerator and the denominator by 1000.

$$\frac{69}{200000}\left(\frac{50}{73}+\frac{2}{70}\right)$$

Reduce the fraction \frac{2}{70} to lowest terms by extracting and canceling out 2.

$$\frac{69}{200000}\left(\frac{50}{73}+\frac{1}{35}\right)$$

Add \frac{50}{73} and \frac{1}{35} to get \frac{1823}{2555}.

$$\frac{69}{200000}\times \frac{1823}{2555}$$

Multiply \frac{69}{200000} and \frac{1823}{2555} to get \frac{125787}{511000000}.

$$\frac{125787}{511000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 1823}{7 \cdot 73 \cdot 2 ^ {6} \cdot 5 ^ {6}} = 0.00024615851272015654$$