How do you reduce #\frac { 30x - 10} { 70x + 90}#?

2 Answers
Mar 3, 2018

Answer:

Factoring out common factors, we can reduce any given expression provided that there are common factors.

Explanation:

A look at our expression shows us that all the terms are some multiples of #10#. Which means that we can factor 10 from numerator and denominator and cancel them out.

  • #30x-10# can be written as #10(3x-1)#
  • #70x+10# can be written as #10(7x+1)#

Now, divide them

#(10(3x-1))/(10(7x+1))=(3x-1)/(7x+1)#

Answer:

#3/7((x-1/3)/(x+9/7))#

Explanation:

#(30x-10)/(70x+90)#
#=(30(x-1/3))/(70(x+9/7)#
#=3/7((x-1/3)/(x+9/7))#