# How to simplify algebraic fraction? such as..:

##
#(4a +8b)/(6a+12b)#

##### 2 Answers

Mar 26, 2016

#### Answer:

#### Explanation:

Factor both numerator and denominator and 'cancel' any common factors.

# (4a + 8b)/(6a+ 12b) = (4(a + 2b))/(6(a + 2b)) # (a + 2b) is a common factor

#rArr (4cancel((a+2b))) /(6cancel((a+2b)) #

#rArr (4a+8b)/(6a+12b) = 4/6 = 2/3 #

Apr 8, 2018

#### Answer:

#### Explanation:

To simplify any algebraic fraction, we factorise the top and bottom terms to find anything common so that the terms cancel out:

Factorising:

Putting factorised form into algebraic fraction:

Since there is