Binomial Fraction Simplification Sample Problems

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Here are some tips for Binomial Fraction Simplification, which aligns with New York state standards:

Binomial Fraction Simplification

The problems in Prime Factoring 2 are very similar to the problems in this topic.
To review Prime Factoring 2, see here.

Simplify the fraction by parts.

10w³
5w
=

10
5 • w³
w
Identify each part

=

² 10
5 • w • w • w
w
Simplify each part

=

2 • w²

= 2w²

Example 1: Monomial

Simplify.

6a⁵w³s
8aw⁴

6a⁵w³s
8aw⁴
=

6
8 • a⁵
a • w³
w⁴ • s

=

3
4 • a⁴
1 • 1
w • s

=

3a⁴s
4w

Example 2: Binomial

Simplify.

a.

-2x - 8
3x + 12

-2x - 8
3x + 12
=
-2(x + 4)
3(x + 4)

=
-2
3

b.

8
2x - 10

8
2x - 10
=
8
2(x - 5)

=
4
x - 5