Question
Download Solution PDFFraction representation of the \(0.12\overline{54}\) is-
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(0.12 \overline{54}\)
Calculation:
Let, \(0.12 \overline{54}\) = m
⇒ 100m = 12.\(\overline{54}\)
⇒ 100m - m = 12.54\(\overline{54}\) - \(0.12 \overline{54}\)
⇒ 99m = 12.42
⇒ m = \(\dfrac{1242}{9900}\)
Taking 18 as a common from the fraction,
m = \(\dfrac{69}{550}\)
∴ Fraction representation of the \(0.12 \overline{54}\) is \(\dfrac{69}{550}\).
Last updated on Jul 17, 2025
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