Question
Download Solution PDF\(\overline{0.68} + \overline{0.73} = ?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\overline{0.68} + \overline{0.73} = ?\)
Formula Used:
Sum of recurring decimals = Decimal 1 + Decimal 2.
Calculation:
Convert recurring decimals into fractions:
\(\overline{0.68}\) = 68/99
\(\overline{0.73}\) = 73/99
Add the fractions:
Total = (68/99) + (73/99)
⇒ Total = (68 + 73) / 99
⇒ Total = 141 / 99
Convert back to a recurring decimal:
141 ÷ 99 = \(\overline{1.41}\)
\(\overline{0.68}\) + \(\overline{0.73}\) = \(\overline{1.41}\)
The correct option is Option 1.
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