Question

Show that 2.3757575…..can be expressed in the form p/q, where p and q

are integers and q not equal to zero.​

Answer 1

Answer:

2/3757575 is the answer in fraction form

Answer 2

Answer:

2138181/900000

Step-by-step explanation:

Let 2.37575.. = x

Multiply both sides by 10,

23.7575... = 10x

21.38181 + 2.37575.. = 10x

(23.7575.. = 21.38181 + 2.37575.. )

(2.37575.. = x)

21.38181.. + x = 10x

21.38181 = 10x - x

21.38181 = 9x

21.38181/9 = x

2138181/900000 = x

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