Question

Express 0.0032323232……. in p/q form.​

Answer 1

Answer:

1) Let x = 0.00323232.......(i)

Multiply equation (i) by 100 on both sides,

100 x = 0.323232.......(ii)

Multiply equation (i) by 10,000 on both sides,

10,000 x = 32.323232.......(iii)

Subtracting equation (ii) from (iii),

10,000 x = 32.323232.......(iii)

-- 100 x = 0.323232.......(ii)

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9900 x = 32

Thus, x = 32 / 9900

2) Let x = 2.0151515.......(i)

Multiply equation (i) by 1000 on both sides,

1000 x = 2015.1515.......(ii)

Multiply equation (i) by 10 on both sides,

10 x = 20.151515.......(iii)

Subtracting equation (iii) from (ii),

1000 x = 2015.1515.......(iii)

-- 10 x = 20.151515.......(ii)

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990 x = 1995

Thus, x = 1995 / 990

Therefore the p/q forms are 32 / 9900 and 1995 / 990

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Answer 2

Answer:

32/990

Step-by-step explanation:

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