Solve 456/500-456/458

$$\frac{ 456 }{ 500 } - \frac{ 456 }{ 458 }$$

Evaluate

$$-\frac{2394}{28625}\approx -0.083633188$$

Solution Steps

Reduce the fraction \frac{456}{500} to lowest terms by extracting and canceling out 4.

$$\frac{114}{125}-\frac{456}{458}$$

Reduce the fraction \frac{456}{458} to lowest terms by extracting and canceling out 2.

$$\frac{114}{125}-\frac{228}{229}$$

Least common multiple of 125 and 229 is 28625. Convert \frac{114}{125} and \frac{228}{229} to fractions with denominator 28625.

$$\frac{26106}{28625}-\frac{28500}{28625}$$

Since \frac{26106}{28625} and \frac{28500}{28625} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26106-28500}{28625}$$

Subtract 28500 from 26106 to get -2394.

$$-\frac{2394}{28625}$$

Factor

$$-\frac{2394}{28625} = -0.08363318777292576$$