MathematicsChapter 5: Algebraic Fractions
Multiply
(a/b)*(c/d)=ac/bd. Factor everything first so canceling is safe.
Learning objectives
- Define and explain multiply.
- Apply multiply to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
Where / symbols
- Multiply
- (a/b)*(c/d)=ac/bd. Factor everything first so canceling is safe. (x^2-9)/(x^2+2x) * x/(x+3) becomes (x-3)/(x+2) after canceling x and (x+3).
Overview
Learn the idea, then use it:
Core Understanding
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
Examples factor first · times: ad/bc wait no - ac/bd · divide: times reciprocal · MULTIPLY: (a/b)*(c/d)=ac/bd. Factor everything first so canceling is safe. (x^2-9)/(x^2+2x) * x/(x+3) becomes (x-3)/(x+2) after ca
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — MULTIPLY
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
Key points
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Multiply
Sticky Notes · Quick Revision
Core Idea
- (ab)*(cd)=ac/bd.
Key Points
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Simple Check
- Explain multiply in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- (ab)*(cd)=ac/bd.
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
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