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

2 Answers
Mar 3, 2018

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)

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))