Solve (0,06/frac{3{19}}+0,052/(frac{1{2})^-1}*6,36/frac{0,36{3}})

$$( \frac { 0,06 } { \frac { 3 } { 19 } } + \frac { 0,052 } { ( \frac { 1 } { 2 } ) ^ { - 1 } } \cdot \frac { 6,36 } { \frac { 0,36 } { 3 } } )$$

Evaluate

$$1,758$$

Solution Steps

Divide 0,06 by \frac{3}{19} by multiplying 0,06 by the reciprocal of \frac{3}{19}.

$$0,06\times \frac{19}{3}+\frac{0,052}{\left(\frac{1}{2}\right)^{-1}}\times \frac{6,36}{\frac{0,36}{3}}$$

Multiply 0,06 and \frac{19}{3} to get \frac{19}{50}.

$$\frac{19}{50}+\frac{0,052}{\left(\frac{1}{2}\right)^{-1}}\times \frac{6,36}{\frac{0,36}{3}}$$

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

$$\frac{19}{50}+\frac{0,052}{2}\times \frac{6,36}{\frac{0,36}{3}}$$

Expand \frac{0,052}{2} by multiplying both numerator and the denominator by 1000.

$$\frac{19}{50}+\frac{52}{2000}\times \frac{6,36}{\frac{0,36}{3}}$$

Reduce the fraction \frac{52}{2000} to lowest terms by extracting and canceling out 4.

$$\frac{19}{50}+\frac{13}{500}\times \frac{6,36}{\frac{0,36}{3}}$$

Divide 6,36 by \frac{0,36}{3} by multiplying 6,36 by the reciprocal of \frac{0,36}{3}.

$$\frac{19}{50}+\frac{13}{500}\times \frac{6,36\times 3}{0,36}$$

Multiply 6,36 and 3 to get 19,08.

$$\frac{19}{50}+\frac{13}{500}\times \frac{19,08}{0,36}$$

Expand \frac{19,08}{0,36} by multiplying both numerator and the denominator by 100.

$$\frac{19}{50}+\frac{13}{500}\times \frac{1908}{36}$$

Divide 1908 by 36 to get 53.

$$\frac{19}{50}+\frac{13}{500}\times 53$$

Multiply \frac{13}{500} and 53 to get \frac{689}{500}.

$$\frac{19}{50}+\frac{689}{500}$$

Add \frac{19}{50} and \frac{689}{500} to get \frac{879}{500}.

$$\frac{879}{500}$$

Factor

$$\frac{3 \cdot 293}{2 ^ {2} \cdot 5 ^ {3}} = 1\frac{379}{500} = 1.758$$