Step by step solution to "How many separate fractions can this be broken..."

High School
Algebra
Pre-Algebra
Fractions

grislingatb

Answered question

2021-11-19

How many separate fractions can this be broken down to before simplifying?

\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}

Answer & Explanation

memomzungup4

Beginner2021-11-20Added 14 answers

Step 1
Given:

\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}

Step 2
Solution:

\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}

As there are three different terms in the numerator the given fraction can be separated in three separate terms before simplification and is given as follows:

\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b} = \frac{4 a^{3} b}{2 a b} - \frac{6 a b}{2 a b} + \frac{2 a b^{2}}{2 a b}

After cancelling the like terms we get

\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b} = 2 a^{2} - 3 + b

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