(3)/(X-5)-(2)/(X) - subtraction of fractions

Solution for the given fractions

• 3/(X-5) - 2/X = ?
• The common denominator of the two fractions is: X*(X-5)
• 3/(X-5) = (3*X)/(X*(X-5)) = (3*X)/(X*(X-5))
• 2/X = (2*(X-5))/(X*(X-5)) = (2*(X-5))/(X*(X-5))
• Fractions adjusted to a common denominator
• 3/(X-5) - 2/X = (3*X)/(X*(X-5)) - (2*(X-5))/(X*(X-5))
• (3*X)/(X*(X-5)) - (2*(X-5))/(X*(X-5)) = (3*X-(2*(X-5)))/(X*(X-5))
• (3*X-(2*(X-5)))/(X*(X-5)) = (3*X-2*(X-5))/(X*(X-5))

Solution for the given fractions

$ \frac{3}{(X-5)} -\frac{ 2}{X }=? $

The common denominator of the two fractions is: X*(X-5)

$ \frac{3}{(X-5)} = \frac{(3*X)}{(X*(X-5))} = \frac{(3*X)}{(X*(X-5))} $

$ \frac{2}{X }= \frac{(2*(X-5))}{(X*(X-5))} = \frac{(2*(X-5))}{(X*(X-5))} $

Fractions adjusted to a common denominator

$ \frac{3}{(X-5)} -\frac{ 2}{X }= \frac{(3*X)}{(X*(X-5))} - \frac{(2*(X-5))}{(X*(X-5))} $

$ \frac{(3*X)}{(X*(X-5))} - \frac{(2*(X-5))}{(X*(X-5))} = \frac{(3*X-(2*(X-5)))}{(X*(X-5))} $

$ \frac{(3*X-(2*(X-5)))}{(X*(X-5))} = \frac{(3*X-2*(X-5))}{(X*(X-5))} $

$ $

see mathematical notation