MathematicsChapter 5: Linear Equations and Inequalities
Fractions
Find the LCM of denominators and multiply every term, including constants, by that LCM.
Learning objectives
- Define and explain fractions.
- Apply fractions to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Find the LCM of denominators and multiply every term, including constants, by that LCM. For x/2 + x/3 = 5 the LCM of 2 and 3 is 6, so 3x+2x=30, then 5x=30 and x=6. Do not clear only one side. If a bracket sits over a denominator, multiply the whole bracket.
Formula
x=6. Do not clear only one side. If a brac
Where / symbols
- Fractions
- Find the LCM of denominators and multiply every term, including constants, by that LCM. For x/2 + x/3 = 5 the LCM of 2 and 3 is 6, so 3x+2x=30, then 5x=30 and x=6. Do not clear only one side. If a bracket sits over a denominator, multiply the whole bracket.
Relationship
- x=6
Overview
Learn the idea, then use it:
Core Understanding
Find the LCM of denominators and multiply every term, including constants, by that LCM. For x/2 + x/3 = 5 the LCM of 2 and 3 is 6, so 3x+2x=30, then 5x=30 and x=6. Do not clear only one side. If a bracket sits over a denominator, multiply the whole bracket.
Examples LCM of denominators · every term · x=6 · FRACTIONS: Find the LCM of denominators and multiply every term, including constants, by that LCM. For x/2 + x/3 = 5 the LCM of 2 a
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 — FRACTIONS
Find the LCM of denominators and multiply every term, including constants, by that LCM. For x/2 + x/3 = 5 the LCM of 2 and 3 is 6, so 3x+2x=30, then 5x=30 and x=6. Do not clear only one side. If a bracket sits over a denominator, multiply the whole bracket.
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 fractions with a neighbouring idea that uses a different definition, rule, or method.
Key points
- LCM of denominators
- every term
- x=6
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Fractions
Sticky Notes · Quick Revision
Core Idea
- Find the LCM of denominators and multiply every term, including constants, by that LCM.
Key Points
- LCM of denominators
- every term
- x=6
Simple Check
- Explain fractions 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 fractions 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
- Find the LCM of denominators and multiply every term, including constants, by that LCM.
- LCM of denominators
- every term
- x=6
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