Convert recurring decimal to p/q form | Class 9

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Timestamp Concept
0:18 Definition of recurring decimal – Repeating digits after decimal point.
1:00 Convert recurring decimal to p/q form (fraction) – Main exam question.
1:44 Identify repeating part – Focus on digits that repeat.
2:50 Dot or bar notation – Indicates recurring digits.
3:33 What is p/q? – Both p and q are integers (a rational number).
4:35 Number system recap – Natural, whole, integers, rational, real.
5:27 Terminating vs Non-terminating decimals – Ends or continues.
6:30 Non-terminating recurring decimals – Keep repeating.
7:47 Step 1: Let x = recurring decimal (e.g., x = 0.777…)
8:01 Step 2: Multiply both sides by 10, 100, 1000 – Depends on how many digits repeat.
9:11 Step 3: Subtract equations – Eliminates repeating part.
9:24 Result: 9x = number → x = p/q – Final simplified fraction.
10:47 Key rule: Multiply by 10/100/1000 based on repeating digits.
13:27 Repeat count = Number of zeros to multiply with.
14:06 Quick revision of number types & p/q meaning
14:16 Difference: Terminating, recurring, non-recurring
15:08 Suggested Practice: Do Example 1, 2, and Q3 – Homework focus.
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