Question
Download Solution PDF\(0.0\overline {18} = ?\) ന്റെ ശരിയായ സമവാക്യമാണ്
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFകണക്കുകൂട്ടല്:
x = 0.0181818.... ആണെന്ന് കരുതുക.
⇒ 10x = 0.1818.... ----സമവാക്യം (1)
⇒ 1000x = 18.1818.... ----സമവാക്യം (2)
ഇപ്പോള്, സമവാക്യം (2) - സമവാക്യം (1)
⇒ 1000x - 10x = 18.1818... - 0.1818...
⇒ 990x = 18
⇒ x = 18/990
⇒ x = 1/55
∴ \(0.0\overline {18} \) ന്റെ ഭിന്നസംഖ്യ 1/55 ആണ്
Shortcut Trick
\(0.\overline {ab} = ab/99\)
\(0.0 \:\overline {ab} = ab/990\)
⇒ \(0.0\overline {18} = 18/990\)
⇒ 2/110 = 1/55
∴ \(0.0\overline {18} \) ന്റെ ഭിന്നസംഖ്യ 1/55 ആണ്
Last updated on Jul 21, 2025
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