Write each repeating decimal as a fraction in simplest form:
1. \(0.\overline{4}\)
2. \(0.\overline{13}\)
Answer (3)
Answers:
0.444444....=4/9
0.13131313131313.....=13/99
The answer is 0.4 = 4/9 0.13= 13/99
The repeating decimal 0. 4 can be expressed as 9 4 and 0. 13 can be expressed as 99 13 . Both fractions are in their simplest forms. The method involves setting the decimal as a variable and performing algebraic manipulations.
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