Solve 0.067+0.00333/0.02+0.067/0.00333

$$\frac { 0.067 + 0.00333 } { 0.02 } + \frac { 0.067 } { 0.00333 }$$

Evaluate

$$\frac{15741989}{666000}\approx 23.63662012$$

Solution Steps

Add 0.067 and 0.00333 to get 0.07033.

$$\frac{0.07033}{0.02}+\frac{0.067}{0.00333}$$

Expand \frac{0.07033}{0.02} by multiplying both numerator and the denominator by 100000.

$$\frac{7033}{2000}+\frac{0.067}{0.00333}$$

Expand \frac{0.067}{0.00333} by multiplying both numerator and the denominator by 100000.

$$\frac{7033}{2000}+\frac{6700}{333}$$

Least common multiple of 2000 and 333 is 666000. Convert \frac{7033}{2000} and \frac{6700}{333} to fractions with denominator 666000.

$$\frac{2341989}{666000}+\frac{13400000}{666000}$$

Since \frac{2341989}{666000} and \frac{13400000}{666000} have the same denominator, add them by adding their numerators.

$$\frac{2341989+13400000}{666000}$$

Add 2341989 and 13400000 to get 15741989.

$$\frac{15741989}{666000}$$

Factor

$$\frac{941 \cdot 16729}{37 \cdot 2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {3}} = 23\frac{423989}{666000} = 23.63662012012012$$