Solve (133div1000)*(1+350div100)*(1+60div100)*100

$$(133 \div 1000) \times (1+350 \div 100) \times (1+60 \div 100) \times 100$$

Evaluate

$$\frac{2394}{25}=95.76$$

Solution Steps

Reduce the fraction \frac{350}{100} to lowest terms by extracting and canceling out 50.

$$\frac{133}{1000}\left(1+\frac{7}{2}\right)\left(1+\frac{60}{100}\right)\times 100$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{133}{1000}\left(\frac{2}{2}+\frac{7}{2}\right)\left(1+\frac{60}{100}\right)\times 100$$

Since \frac{2}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$\frac{133}{1000}\times \frac{2+7}{2}\left(1+\frac{60}{100}\right)\times 100$$

Add 2 and 7 to get 9.

$$\frac{133}{1000}\times \frac{9}{2}\left(1+\frac{60}{100}\right)\times 100$$

Multiply \frac{133}{1000} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{133\times 9}{1000\times 2}\left(1+\frac{60}{100}\right)\times 100$$

Do the multiplications in the fraction \frac{133\times 9}{1000\times 2}.

$$\frac{1197}{2000}\left(1+\frac{60}{100}\right)\times 100$$

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

$$\frac{1197}{2000}\left(1+\frac{3}{5}\right)\times 100$$

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

$$\frac{1197}{2000}\left(\frac{5}{5}+\frac{3}{5}\right)\times 100$$

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

$$\frac{1197}{2000}\times \frac{5+3}{5}\times 100$$

Add 5 and 3 to get 8.

$$\frac{1197}{2000}\times \frac{8}{5}\times 100$$

Multiply \frac{1197}{2000} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1197\times 8}{2000\times 5}\times 100$$

Do the multiplications in the fraction \frac{1197\times 8}{2000\times 5}.

$$\frac{9576}{10000}\times 100$$

Reduce the fraction \frac{9576}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{1197}{1250}\times 100$$

Express \frac{1197}{1250}\times 100 as a single fraction.

$$\frac{1197\times 100}{1250}$$

Multiply 1197 and 100 to get 119700.

$$\frac{119700}{1250}$$

Reduce the fraction \frac{119700}{1250} to lowest terms by extracting and canceling out 50.

$$\frac{2394}{25}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 19}{5 ^ {2}} = 95\frac{19}{25} = 95.76$$