Maths-
General
Easy
Question
Express 23.324242424….. in p/q form, where p and q are integers
Hint:
A repeating decimal is a decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. These repeating can be expressed in p/q form using some simple methods.
The correct answer is: 23.324242424
The given number is 23.324242424….. which can be written as 23.324
Let’s say X=23.324
Step 1 of 3:
x=23.324
Multiplying both sides by 10
10x=233.24 ………..(1)
Step 2 of 3:
Now multiply both sides of equation (1) by 100
1000x=23324.24................(2)
Step 2 of 3:
Subtracting equation (2) by equation (1)
Final Answer:
Hence, the p/q form of 23.324242424….. is 
Note: This question can also be solved by using the concept of the sum of infinite terms which are in geometric progression.
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