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Question

Express the following in the form pq, where p and q are integers and q0
0.00323232.... = m2475, then what is the value of m?

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Solution

y=00¯32.....(1)
100y=100×0.00¯32....(2)
10000y=10000×0.00¯32....(3)
Subtracting (2) from (3)
10000y100y= 32.¯32 - .¯32
9900y=32
y=82475
Hence the value of m=8.

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