Simplifying Algebraic Fractions
Calculate simplifying algebraic fractions in Grade 9 math — Explanation To simplify, you must factor out the GCF from the entire numerator first. Part of Linear Equations and Proportions for Grade 9.
Key Concepts
Property Fractions can be simplified if the numerator and the denominator contain common factors, because multiplication and division are inverse operations. $\frac{ab}{ac} = \frac{b}{c}$.
Examples $\frac{3p+3}{3} = \frac{3(p+1)}{3} = p+1$ $\frac{5x 25x^2}{5xy} = \frac{5x(1 5x)}{5xy} = \frac{1 5x}{y}$.
Explanation To simplify, you must factor out the GCF from the entire numerator first. Only then can you cancel any identical factors on the top and bottom. Watch out for addition—you can't cancel single terms!
Common Questions
What is 'Simplifying Algebraic Fractions' in Grade 9 math?
Explanation To simplify, you must factor out the GCF from the entire numerator first. Only then can you cancel any identical factors on the top and bottom.
How do you solve problems involving 'Simplifying Algebraic Fractions'?
Only then can you cancel any identical factors on the top and bottom. Watch out for addition—you can't cancel single terms!.
Why is 'Simplifying Algebraic Fractions' an important Grade 9 math skill?
For example, in the fraction $\frac{x+5}{5}$, you cannot cancel the 5s.. You can only cancel factors that are multiplied by the rest of the expression, not individual terms.