Solve 16/90-20/243

$$\frac{ 16 }{ 90 } - \frac{ 20 }{ 243 }$$

Evaluate

$$\frac{116}{1215}\approx 0.095473251$$

Solution Steps

Reduce the fraction \frac{16}{90} to lowest terms by extracting and canceling out 2.

$$\frac{8}{45}-\frac{20}{243}$$

Least common multiple of 45 and 243 is 1215. Convert \frac{8}{45} and \frac{20}{243} to fractions with denominator 1215.

$$\frac{216}{1215}-\frac{100}{1215}$$

Since \frac{216}{1215} and \frac{100}{1215} have the same denominator, subtract them by subtracting their numerators.

$$\frac{216-100}{1215}$$

Subtract 100 from 216 to get 116.

$$\frac{116}{1215}$$

Factor

$$\frac{2 ^ {2} \cdot 29}{3 ^ {5} \cdot 5} = 0.09547325102880659$$