Solve frac{20000+355.16*93.8/frac{20000{190}+93.8}}{7}

$$\frac{ \frac{ 20000+355.16 \cdot 93.8 }{ \frac{ 20000 }{ 190 } +93.8 } }{ 7 }$$

Evaluate

$$\frac{126620769}{3309425}\approx 38.26065525$$

Solution Steps

Express \frac{\frac{20000+355.16\times 93.8}{\frac{20000}{190}+93.8}}{7} as a single fraction.

$$\frac{20000+355.16\times 93.8}{\left(\frac{20000}{190}+93.8\right)\times 7}$$

Multiply 355.16 and 93.8 to get 33314.008.

$$\frac{20000+33314.008}{\left(\frac{20000}{190}+93.8\right)\times 7}$$

Add 20000 and 33314.008 to get 53314.008.

$$\frac{53314.008}{\left(\frac{20000}{190}+93.8\right)\times 7}$$

Reduce the fraction \frac{20000}{190} to lowest terms by extracting and canceling out 10.

$$\frac{53314.008}{\left(\frac{2000}{19}+93.8\right)\times 7}$$

Convert decimal number 93.8 to fraction \frac{938}{10}. Reduce the fraction \frac{938}{10} to lowest terms by extracting and canceling out 2.

$$\frac{53314.008}{\left(\frac{2000}{19}+\frac{469}{5}\right)\times 7}$$

Least common multiple of 19 and 5 is 95. Convert \frac{2000}{19} and \frac{469}{5} to fractions with denominator 95.

$$\frac{53314.008}{\left(\frac{10000}{95}+\frac{8911}{95}\right)\times 7}$$

Since \frac{10000}{95} and \frac{8911}{95} have the same denominator, add them by adding their numerators.

$$\frac{53314.008}{\frac{10000+8911}{95}\times 7}$$

Add 10000 and 8911 to get 18911.

$$\frac{53314.008}{\frac{18911}{95}\times 7}$$

Express \frac{18911}{95}\times 7 as a single fraction.

$$\frac{53314.008}{\frac{18911\times 7}{95}}$$

Multiply 18911 and 7 to get 132377.

$$\frac{53314.008}{\frac{132377}{95}}$$

Divide 53314.008 by \frac{132377}{95} by multiplying 53314.008 by the reciprocal of \frac{132377}{95}.

$$53314.008\times \frac{95}{132377}$$

Convert decimal number 53314.008 to fraction \frac{53314008}{1000}. Reduce the fraction \frac{53314008}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{6664251}{125}\times \frac{95}{132377}$$

Multiply \frac{6664251}{125} times \frac{95}{132377} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6664251\times 95}{125\times 132377}$$

Do the multiplications in the fraction \frac{6664251\times 95}{125\times 132377}.

$$\frac{633103845}{16547125}$$

Reduce the fraction \frac{633103845}{16547125} to lowest terms by extracting and canceling out 5.

$$\frac{126620769}{3309425}$$

Factor

$$\frac{3 \cdot 11 \cdot 19 \cdot 201947}{7 \cdot 18911 \cdot 5 ^ {2}} = 38\frac{862619}{3309425} = 38.26065524977904$$