Express 0.2353535... in p/q form
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Posted by Sanjana Venkatesh 3 years, 9 months ago
- 2 answers
Yogita Ingle 3 years, 9 months ago
Given a number 0.2353535…….
We need to prove 0.2353535… = 0.235‾ can be expressed in the form of p/q, where p and q are integers and q ≠zero
Proof:
Let us assume that
x = 0.2353535…
x = 0.235 ——————(i)
On Multiplying both sides by 100 of equation (i) we get,
100x = 100 × 0.2353535…
100x = 23.53535————–(ii)
Subtracting equation (i) from equation (ii) we get,
100x – x = 23.53535 – 0.2353535…
99x = 23.2999965
x = 23.2999965/99
x = 233/990
x = 0.2353535
Hence, x = 0.2353535…= 0.235‾ can be expressed in the form of p/q as 233/ 990 and here q=990 (q≠zero)
Hence proved.
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Nandini 18 3 years, 9 months ago
0Thank You