Question
Download Solution PDFWhat value should come in the place of question mark (?) in the following question:
\( 0.5\overline{37} - 0.3\overline{35} + 0.2\overline{34} = ? \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
0.xy̅z̅ = (xyz - x) / 990
Calculation:
\(0.5\bar{37}-0.3\bar{35}+0.2\bar{34}\)
⇒ \(\frac {537 - 5}{990} - \frac {335 - 3}{990} + \frac {234 - 2}{990}\)
⇒ \(\frac {532}{990} - \frac {332}{990} + \frac {232}{990}\)
⇒ \(\frac {532 + 232}{990} - \frac {332}{990} \)
⇒ \(\frac {764}{990} - \frac {332}{990} \)
⇒ \(\frac {432}{990} \)
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