Math, asked by freefiregamingzone20, 2 months ago

express 1.4323232.... in the form p/q where p and q are integers q ≠ o step-by-step explanation ​

Answers

Answered by KARTIKSHERWAL16007
0

Answer:

214/495

Step-by-step explanation:

Let x = 0.4323232…

1000x = 432.3232...

10x = 4.323232...

Why 1000x and 10x?

The objective is to arrive at an integer after the two numbers. The recurring part in 'x' is 0.3232... By multiplying 'x' with a 1000 and a 10, we ensure that the decimal parts in both 1000x and 10x are 0.3232...

Your choice of what to multiply 'x' with will always be determined by the digits that repeat in the decimal component.

1000x – 10x = 432.3232... - (4.323232...)

990x = 428

x = 428/990 = 214/495

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