Solve 170/1000left(1+40+40+40+40/100right)left(1+30+30/100right)100

$$\frac{ 170 }{ 1000 } \left( 1+ \frac{ 40+40+40+40 }{ 100 } \right) \left( 1+ \frac{ 30+30 }{ 100 } \right) 100$$

Evaluate

$$\frac{1768}{25}=70.72$$

Solution Steps

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

$$\frac{17}{100}\left(1+\frac{40+40+40+40}{100}\right)\left(1+\frac{30+30}{100}\right)\times 100$$

Add 40 and 40 to get 80.

$$\frac{17}{100}\left(1+\frac{80+40+40}{100}\right)\left(1+\frac{30+30}{100}\right)\times 100$$

Add 80 and 40 to get 120.

$$\frac{17}{100}\left(1+\frac{120+40}{100}\right)\left(1+\frac{30+30}{100}\right)\times 100$$

Add 120 and 40 to get 160.

$$\frac{17}{100}\left(1+\frac{160}{100}\right)\left(1+\frac{30+30}{100}\right)\times 100$$

Reduce the fraction \frac{160}{100} to lowest terms by extracting and canceling out 20.

$$\frac{17}{100}\left(1+\frac{8}{5}\right)\left(1+\frac{30+30}{100}\right)\times 100$$

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

$$\frac{17}{100}\left(\frac{5}{5}+\frac{8}{5}\right)\left(1+\frac{30+30}{100}\right)\times 100$$

Since \frac{5}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{17}{100}\times \frac{5+8}{5}\left(1+\frac{30+30}{100}\right)\times 100$$

Add 5 and 8 to get 13.

$$\frac{17}{100}\times \frac{13}{5}\left(1+\frac{30+30}{100}\right)\times 100$$

Multiply \frac{17}{100} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 13}{100\times 5}\left(1+\frac{30+30}{100}\right)\times 100$$

Do the multiplications in the fraction \frac{17\times 13}{100\times 5}.

$$\frac{221}{500}\left(1+\frac{30+30}{100}\right)\times 100$$

Add 30 and 30 to get 60.

$$\frac{221}{500}\left(1+\frac{60}{100}\right)\times 100$$

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

$$\frac{221}{500}\left(1+\frac{3}{5}\right)\times 100$$

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

$$\frac{221}{500}\left(\frac{5}{5}+\frac{3}{5}\right)\times 100$$

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

$$\frac{221}{500}\times \frac{5+3}{5}\times 100$$

Add 5 and 3 to get 8.

$$\frac{221}{500}\times \frac{8}{5}\times 100$$

Multiply \frac{221}{500} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{221\times 8}{500\times 5}\times 100$$

Do the multiplications in the fraction \frac{221\times 8}{500\times 5}.

$$\frac{1768}{2500}\times 100$$

Reduce the fraction \frac{1768}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{442}{625}\times 100$$

Express \frac{442}{625}\times 100 as a single fraction.

$$\frac{442\times 100}{625}$$

Multiply 442 and 100 to get 44200.

$$\frac{44200}{625}$$

Reduce the fraction \frac{44200}{625} to lowest terms by extracting and canceling out 25.

$$\frac{1768}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 13 \cdot 17}{5 ^ {2}} = 70\frac{18}{25} = 70.72$$