Regra: Numerador = apenas o período. Denominador = tantos noves quantos forem os algarismos do período.
Transforme os números abaixo em frações irredutíveis. exercícios de fração geratriz
Answers (Level 2)
| Mistake | Correction | |---------|-------------| | Forgetting to simplify | Always divide numerator and denominator by GCD. | | Misplacing zeros in compound decimals | Denominator = (number of 9’s for period) + (number of 0’s for antiperiod). | | Treating (0.\overline9) as less than 1 | Recognize (0.\overline9 = 1) exactly. | | Not converting the integer part separately | Mixed numbers: (a.b\overlinec = a + \textgeratriz of decimal part). | Regra: Numerador = apenas o período
Mastering strengthens number sense and prepares students for algebra, limits (e.g., geometric series), and real analysis. Regular practice with both simple and compound repeating decimals ensures fluency. Use the exercises above to build confidence from basics to challenging applications. Answers (Level 2) | Mistake | Correction |
Luana recalled the rules for converting repeating decimals to fractions. She let x = 0.333..., then multiplied both sides by 10 to get 10x = 3.333.... Next, she subtracted the original equation from this new one:
Matematicamente, a dízima 0,999... é igual a 1.