Algebraic Expression of Fractions with Monomial Denominators - JSS2 Mathematics Lesson Note

An algebraic expression with fractions and monomial denominators involves expressions where the denominator is a single term (monomial). Let us break this down with some examples.

Example 1:𝑥+3/4 

Here, 4 is the monomial denominator. This expression reads as "(x plus 3) divided by 4".

Example 2: 5𝑥−7/2𝑥

In this case, 2𝑥 is the monomial denominator. The expression reads as "(5x minus 7) divided by 2x".

Simplifying Algebraic Fractions

When simplifying these fractions, we look to reduce them to their simplest form.

Example 3: 6𝑥^2/3𝑥

We can simplify this by dividing both the numerator and the denominator by 3𝑥: 

6𝑥^2/3𝑥=6⋅𝑥⋅𝑥3⋅𝑥=2𝑥

Example 4: 8𝑥^3+4𝑥2𝑥

Here, we can factor out 2𝑥 from the numerator: 

8𝑥^3+4𝑥2𝑥

=2𝑥(4𝑥^2+2)2𝑥

=4𝑥^2+2