Solve 170/1000left(1+90+90+40/100right)left(1+60/100right)100

$$\frac{ 170 }{ 1000 } \left( 1+ \frac{ 90+90+40 }{ 100 } \right) \left( 1+ \frac{ 60 }{ 100 } \right) 100$$

Evaluate

$$\frac{2176}{25}=87.04$$

Solution Steps

Reduce the fraction \frac{170}{1000} to lowest terms by extracting and canceling out 10.

$$\frac{17}{100}\left(1+\frac{90+90+40}{100}\right)\left(1+\frac{60}{100}\right)\times 100$$

Add 90 and 90 to get 180.

$$\frac{17}{100}\left(1+\frac{180+40}{100}\right)\left(1+\frac{60}{100}\right)\times 100$$

Add 180 and 40 to get 220.

$$\frac{17}{100}\left(1+\frac{220}{100}\right)\left(1+\frac{60}{100}\right)\times 100$$

Reduce the fraction \frac{220}{100} to lowest terms by extracting and canceling out 20.

$$\frac{17}{100}\left(1+\frac{11}{5}\right)\left(1+\frac{60}{100}\right)\times 100$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{17}{100}\left(\frac{5}{5}+\frac{11}{5}\right)\left(1+\frac{60}{100}\right)\times 100$$

Since \frac{5}{5} and \frac{11}{5} have the same denominator, add them by adding their numerators.

$$\frac{17}{100}\times \frac{5+11}{5}\left(1+\frac{60}{100}\right)\times 100$$

Add 5 and 11 to get 16.

$$\frac{17}{100}\times \frac{16}{5}\left(1+\frac{60}{100}\right)\times 100$$

Multiply \frac{17}{100} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 16}{100\times 5}\left(1+\frac{60}{100}\right)\times 100$$

Do the multiplications in the fraction \frac{17\times 16}{100\times 5}.

$$\frac{272}{500}\left(1+\frac{60}{100}\right)\times 100$$

Reduce the fraction \frac{272}{500} to lowest terms by extracting and canceling out 4.

$$\frac{68}{125}\left(1+\frac{60}{100}\right)\times 100$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$\frac{68}{125}\left(1+\frac{3}{5}\right)\times 100$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{68}{125}\left(\frac{5}{5}+\frac{3}{5}\right)\times 100$$

Since \frac{5}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{68}{125}\times \frac{5+3}{5}\times 100$$

Add 5 and 3 to get 8.

$$\frac{68}{125}\times \frac{8}{5}\times 100$$

Multiply \frac{68}{125} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{68\times 8}{125\times 5}\times 100$$

Do the multiplications in the fraction \frac{68\times 8}{125\times 5}.

$$\frac{544}{625}\times 100$$

Express \frac{544}{625}\times 100 as a single fraction.

$$\frac{544\times 100}{625}$$

Multiply 544 and 100 to get 54400.

$$\frac{54400}{625}$$

Reduce the fraction \frac{54400}{625} to lowest terms by extracting and canceling out 25.

$$\frac{2176}{25}$$

Factor

$$\frac{2 ^ {7} \cdot 17}{5 ^ {2}} = 87\frac{1}{25} = 87.04$$