How do you subtract #\frac { 5x } { 2x + 8y } - \frac { 7y } { 5x + 20y }#?

1 Answer
EZ as pi
May 21, 2018

#=(25x-14y)/(10(x+4y))#

Explanation:

Adding algebraic fractions is a part of algebra that many people find difficult.

  • factorise the denominators as far as possible
  • find the LCD
  • make equivalent fractions,
  • simplify the numerator - sometimes it can also factorise.

#(5x)/(2x+8y) - (7y)/(5x+20y)#

#=(5x)/(2(x+4y)) - (7y)/(5(x+4y))#

#= (color(white)(xxxxxxxxxxxxxx))/(2xx5xx(x+4y))#

#= (5x xx5-7yxx2)/(2xx5xx(x+4y))#

#=(25x-14y)/(10(x+4y))#

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