Question

Express the following in the form of p/q where p and q are integers and q is not equal to 0.
(1) 0.134
(2) 0.00323232...

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Answer 1

Answer:

1. 0.134

Is a Terminating rational number

Therefore, 0.134= 134/100 = 67/50

2. 0.00323232..

Is a Non terminating but recurring rational number

So,

Let x be = 0.0032 bar (i)

Multiplying 100 on both sides

> 100 × x = 10 × 0.0032 bar

> 100x = 0.323232.. (ii)

Subtracting (ii) and (i)

> 100x - x = 0.323232.. - 0.00323232.

> 99x= 0.32

> x = 0.32/99

> 32/9900

>  8/ 2475