Question Video: Simplifying Algebraic Fractions | Nagwa Question Video: Simplifying Algebraic Fractions | Nagwa

Question Video: Simplifying Algebraic Fractions Mathematics

Simplify โˆ’20๐‘ฅ/โˆ’10๐‘ฅ.

01:28

Video Transcript

Simplify negative 20๐‘ฅ over negative 10๐‘ฅ.

We can take negative 20๐‘ฅ over negative 10๐‘ฅ and break it into pieces. Our negative on the outside is representative of multiplying your fraction by negative one. Weโ€™re going to multiply everything by negative one.

The numerator is saying 20 times ๐‘ฅ, and the denominator negative 10 times ๐‘ฅ. Letโ€™s group the like terms even further. Negative one stays there. Then we can group 20 over negative 10 and multiply that by ๐‘ฅ times ๐‘ฅ. Hereโ€™s what we have: negative one times 20 over negative 10 times ๐‘ฅ over ๐‘ฅ. We canโ€™t simplify negative one any further yet, but 20 divided by negative 10 is equal to negative two. ๐‘ฅ divided by ๐‘ฅ equals one.

Any number, any value, over itself is a fraction of one. Negative one times negative two times one equals positive two. Negative 20๐‘ฅ over negative 10๐‘ฅ in its most simplified form is two.

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