If 2-5252525-pq in the lowest form- then what is the value of qp-

The correct option is D 0.396Let #160;x=2.525252....Then #160;100 #215;x=252.525252....Thus, #160;100x #8722;x=252.525252.... #8722;2.52525252...=25 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication and Division of Rational Numbers

If 2.525252...

Question

If $2.5252525...... = \frac{p}{q}$ (in the lowest form), then what is the value of $\frac{q}{p}$ ?

0.4

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0.425

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0.0396

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0.396

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Solution

The correct option is D 0.396
Let x=2.525252....

Then 100×x=252.525252....

Thus, 100x−x=252.525252....−2.52525252...=250

99x=250

x=250/99

∴p/q=250/99

Taking reciprocals, q/p= 99/250 = 0.396

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If 2.5252525......=pq (in the lowest form), then what is the value of qp?

The correct option is D 0.396Let x=2.525252....Then 100×x=252.525252....Thus, 100x−x=252.525252....−2.52525252...=25099x=250x=250/99∴p/q​=250/99Taking reciprocals, q/p= 99/250 = 0.396

Let x=2.525252....Then 100×x=252.525252....Thus, 100x−x=252.525252....−2.52525252...=25099x=250x=250/99∴p/q​=250/99Taking reciprocals, q/p= 99/250 = 0.396

If $2.5252525...... = \frac{p}{q}$ (in the lowest form), then what is the value of $\frac{q}{p}$ ?

The correct option is D 0.396
Let x=2.525252....

Then 100×x=252.525252....

Thus, 100x−x=252.525252....−2.52525252...=250

99x=250

x=250/99

∴p/q=250/99

Taking reciprocals, q/p= 99/250 = 0.396

Let x=2.525252....

Then 100×x=252.525252....

Thus, 100x−x=252.525252....−2.52525252...=250

99x=250

x=250/99

∴p/q=250/99

Taking reciprocals, q/p= 99/250 = 0.396