Solve 207/10quad203/4quad189/10quad2018/25

$$20 \frac { 7 } { 10 } \quad 20 \frac { 3 } { 4 } \quad 18 \frac { 9 } { 10 } \quad 20 \frac { 18 } { 25 }$$

Evaluate

$$\frac{841027131}{5000}=168205.4262$$

Solution Steps

Multiply 20 and 10 to get 200.

$$\frac{200+7}{10}\times \frac{20\times 4+3}{4}\times \frac{18\times 10+9}{10}\times \frac{20\times 25+18}{25}$$

Add 200 and 7 to get 207.

$$\frac{207}{10}\times \frac{20\times 4+3}{4}\times \frac{18\times 10+9}{10}\times \frac{20\times 25+18}{25}$$

Multiply 20 and 4 to get 80.

$$\frac{207}{10}\times \frac{80+3}{4}\times \frac{18\times 10+9}{10}\times \frac{20\times 25+18}{25}$$

Add 80 and 3 to get 83.

$$\frac{207}{10}\times \frac{83}{4}\times \frac{18\times 10+9}{10}\times \frac{20\times 25+18}{25}$$

Multiply \frac{207}{10} times \frac{83}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{207\times 83}{10\times 4}\times \frac{18\times 10+9}{10}\times \frac{20\times 25+18}{25}$$

Do the multiplications in the fraction \frac{207\times 83}{10\times 4}.

$$\frac{17181}{40}\times \frac{18\times 10+9}{10}\times \frac{20\times 25+18}{25}$$

Multiply 18 and 10 to get 180.

$$\frac{17181}{40}\times \frac{180+9}{10}\times \frac{20\times 25+18}{25}$$

Add 180 and 9 to get 189.

$$\frac{17181}{40}\times \frac{189}{10}\times \frac{20\times 25+18}{25}$$

Multiply \frac{17181}{40} times \frac{189}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17181\times 189}{40\times 10}\times \frac{20\times 25+18}{25}$$

Do the multiplications in the fraction \frac{17181\times 189}{40\times 10}.

$$\frac{3247209}{400}\times \frac{20\times 25+18}{25}$$

Multiply 20 and 25 to get 500.

$$\frac{3247209}{400}\times \frac{500+18}{25}$$

Add 500 and 18 to get 518.

$$\frac{3247209}{400}\times \frac{518}{25}$$

Multiply \frac{3247209}{400} times \frac{518}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3247209\times 518}{400\times 25}$$

Do the multiplications in the fraction \frac{3247209\times 518}{400\times 25}.

$$\frac{1682054262}{10000}$$

Reduce the fraction \frac{1682054262}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{841027131}{5000}$$

Factor

$$\frac{3 ^ {5} \cdot 7 ^ {2} \cdot 23 \cdot 37 \cdot 83}{2 ^ {3} \cdot 5 ^ {4}} = 168205\frac{2131}{5000} = 168205.4262$$