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Divide
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
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Divide
What is it?
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
In simple words
- Multiply: tops together, bottoms together, then cancel factors.
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Important terms
Divide: Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
What you should learn
- Define and explain divide.
- Apply divide to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- Define first
CORE UNDERSTANDING
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 10
Full school-level explanation
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
Learn the idea, then use it:
WHAT — DIVIDE
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
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.
CORE UNDERSTANDING
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every denominator that appeared, including the one you flipped.
Remember
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Examples
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- correct term
- chapter link
- clear application
Deeper understanding
Go beyond memorising Divide. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
- Divide: Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal o
- WHAT — DIVIDE: Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal o
- HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
Do not merge divide with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Divide: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
- Divide: Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal o
Important formulas
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
Common exam traps
- Do not merge divide with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge divide with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge divide with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
times: ad/bc wait no - ac/bd
divide: times reciprocal
keep the ideas separate
Divide: Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal o
Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every deno
- Definition
- Multiply: tops together, bottoms together, then cancel factors. Divide: multiply by the reciprocal of the second fraction. Write excluded values from every deno
- Example
- times: ad/bc wait no - ac/bd
- Critical warning
- Do not merge divide with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Divide.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Divide and say why it fits.
Mistake
Q4. State one common mistake students make about Divide.
Exam note
Q5. Write a short exam note on Divide: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.