# Video: Simplifying Algebraic Fractions

Simplify β20π₯/β10π₯.

01:28

### Video Transcript

Simplify negative 20π₯ over negative 10π₯.

We can take negative 20π₯ over negative 10π₯ and break it into pieces. Our negative on the outside is representative of multiplying your fraction by negative one. Weβre going to multiply everything by negative one.

The numerator is saying 20 times π₯, and the denominator negative 10 times π₯. Letβs group the like terms even further. Negative one stays there. Then we can group 20 over negative 10 and multiply that by π₯ times π₯. Hereβs what we have: negative one times 20 over negative 10 times π₯ over π₯. We canβt simplify negative one any further yet, but 20 divided by negative 10 is equal to negative two. π₯ divided by π₯ equals one.

Any number, any value, over itself is a fraction of one. Negative one times negative two times one equals positive two. Negative 20π₯ over negative 10π₯ in its most simplified form is two.