# When simplifying a rational fraction, why do you need to

factor the numerator and the denominator? Include two examples!

to get like terms

Can you explain a little more?

When you factor then you can cancel like terms

Example:

12/3

(3)(4)
------- = 4/1 =4
3

i need to ask you a dumb question
Is this an example of a ratonal Fraction?
because the question need to answer is
When simplifying a rational fraction, why do you need to factor the numerator and the denominator? Include two examples

Rational fractions are written as one number divided by another, such as 3/4.

## Yes, the example I provided (12/3) is a rational fraction because it is written as one number (12) divided by another number (3). In this case, the numerator (12) and the denominator (3) are both factors of each other. By factoring both the numerator and the denominator, we can identify any common factors and cancel them out, simplifying the fraction.

Another example would be:

20/10

The numerator (20) and the denominator (10) can both be factored:

20 = 2 * 2 * 5
10 = 2 * 5

We can see that both the numerator and the denominator have a common factor of 2 and a common factor of 5. By canceling out these common factors, we simplify the fraction:

(2 * 2 * 5) / (2 * 5) = (2 * 2) / 1 = 4/1 = 4

By factoring the numerator and the denominator, we were able to simplify the rational fraction 20/10 to its simplest form, which is 4.