Solve frac{20000+35516*938/frac{20000{190}+938}}{7}

$$\frac{ \frac{ 20000+35516 \cdot 938 }{ \frac{ 20000 }{ 190 } +938 } }{ 7 }$$

Evaluate

$$\frac{18627828}{4081}\approx 4564.525361431$$

Solution Steps

Express \frac{\frac{20000+35516\times 938}{\frac{20000}{190}+938}}{7} as a single fraction.

$$\frac{20000+35516\times 938}{\left(\frac{20000}{190}+938\right)\times 7}$$

Multiply 35516 and 938 to get 33314008.

$$\frac{20000+33314008}{\left(\frac{20000}{190}+938\right)\times 7}$$

Add 20000 and 33314008 to get 33334008.

$$\frac{33334008}{\left(\frac{20000}{190}+938\right)\times 7}$$

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

$$\frac{33334008}{\left(\frac{2000}{19}+938\right)\times 7}$$

Convert 938 to fraction \frac{17822}{19}.

$$\frac{33334008}{\left(\frac{2000}{19}+\frac{17822}{19}\right)\times 7}$$

Since \frac{2000}{19} and \frac{17822}{19} have the same denominator, add them by adding their numerators.

$$\frac{33334008}{\frac{2000+17822}{19}\times 7}$$

Add 2000 and 17822 to get 19822.

$$\frac{33334008}{\frac{19822}{19}\times 7}$$

Express \frac{19822}{19}\times 7 as a single fraction.

$$\frac{33334008}{\frac{19822\times 7}{19}}$$

Multiply 19822 and 7 to get 138754.

$$\frac{33334008}{\frac{138754}{19}}$$

Divide 33334008 by \frac{138754}{19} by multiplying 33334008 by the reciprocal of \frac{138754}{19}.

$$33334008\times \frac{19}{138754}$$

Express 33334008\times \frac{19}{138754} as a single fraction.

$$\frac{33334008\times 19}{138754}$$

Multiply 33334008 and 19 to get 633346152.

$$\frac{633346152}{138754}$$

Reduce the fraction \frac{633346152}{138754} to lowest terms by extracting and canceling out 34.

$$\frac{18627828}{4081}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 19 \cdot 81701}{7 \cdot 11 \cdot 53} = 4564\frac{2144}{4081} = 4564.525361431022$$