Solve 35.19%/frac{1.253{3.2}-0.9/3.2*35.19%}

$$\frac { 35.19 \% } { \frac { 1.253 } { 3.2 } - \frac { 0.9 } { 3.2 } * 35.19 \% }$$

Evaluate

$$\frac{112608}{93629}\approx 1.20270429$$

Solution Steps

Expand \frac{35.19}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{3519}{10000}}{\frac{1.253}{3.2}-\frac{0.9}{3.2}\times \frac{35.19}{100}}$$

Expand \frac{1.253}{3.2} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{3519}{10000}}{\frac{1253}{3200}-\frac{0.9}{3.2}\times \frac{35.19}{100}}$$

Expand \frac{0.9}{3.2} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{3519}{10000}}{\frac{1253}{3200}-\frac{9}{32}\times \frac{35.19}{100}}$$

Expand \frac{35.19}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{3519}{10000}}{\frac{1253}{3200}-\frac{9}{32}\times \frac{3519}{10000}}$$

Multiply \frac{9}{32} times \frac{3519}{10000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3519}{10000}}{\frac{1253}{3200}-\frac{9\times 3519}{32\times 10000}}$$

Do the multiplications in the fraction \frac{9\times 3519}{32\times 10000}.

$$\frac{\frac{3519}{10000}}{\frac{1253}{3200}-\frac{31671}{320000}}$$

Least common multiple of 3200 and 320000 is 320000. Convert \frac{1253}{3200} and \frac{31671}{320000} to fractions with denominator 320000.

$$\frac{\frac{3519}{10000}}{\frac{125300}{320000}-\frac{31671}{320000}}$$

Since \frac{125300}{320000} and \frac{31671}{320000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3519}{10000}}{\frac{125300-31671}{320000}}$$

Subtract 31671 from 125300 to get 93629.

$$\frac{\frac{3519}{10000}}{\frac{93629}{320000}}$$

Divide \frac{3519}{10000} by \frac{93629}{320000} by multiplying \frac{3519}{10000} by the reciprocal of \frac{93629}{320000}.

$$\frac{3519}{10000}\times \frac{320000}{93629}$$

Multiply \frac{3519}{10000} times \frac{320000}{93629} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3519\times 320000}{10000\times 93629}$$

Do the multiplications in the fraction \frac{3519\times 320000}{10000\times 93629}.

$$\frac{1126080000}{936290000}$$

Reduce the fraction \frac{1126080000}{936290000} to lowest terms by extracting and canceling out 10000.

$$\frac{112608}{93629}$$

Factor

$$\frac{17 \cdot 23 \cdot 2 ^ {5} \cdot 3 ^ {2}}{93629} = 1\frac{18979}{93629} = 1.2027042903373955$$