Question

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

Answer 1

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 2

`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))`