Solve left(18/920-18/1000right)*101.325=

$$\left( \frac{ 18 }{ 920 } - \frac{ 18 }{ 1000 } \right) \times 101.325=$$

Evaluate

$$\frac{36477}{230000}\approx 0.158595652$$

Solution Steps

Reduce the fraction \frac{18}{920} to lowest terms by extracting and canceling out 2.

$$\left(\frac{9}{460}-\frac{18}{1000}\right)\times 101.325$$

Reduce the fraction \frac{18}{1000} to lowest terms by extracting and canceling out 2.

$$\left(\frac{9}{460}-\frac{9}{500}\right)\times 101.325$$

Least common multiple of 460 and 500 is 11500. Convert \frac{9}{460} and \frac{9}{500} to fractions with denominator 11500.

$$\left(\frac{225}{11500}-\frac{207}{11500}\right)\times 101.325$$

Since \frac{225}{11500} and \frac{207}{11500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{225-207}{11500}\times 101.325$$

Subtract 207 from 225 to get 18.

$$\frac{18}{11500}\times 101.325$$

Reduce the fraction \frac{18}{11500} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5750}\times 101.325$$

Convert decimal number 101.325 to fraction \frac{101325}{1000}. Reduce the fraction \frac{101325}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{9}{5750}\times \frac{4053}{40}$$

Multiply \frac{9}{5750} times \frac{4053}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 4053}{5750\times 40}$$

Do the multiplications in the fraction \frac{9\times 4053}{5750\times 40}.

$$\frac{36477}{230000}$$

Factor

$$\frac{7 \cdot 193 \cdot 3 ^ {3}}{23 \cdot 2 ^ {4} \cdot 5 ^ {4}} = 0.15859565217391305$$