Exercicios Sobre Fração Geratriz [exclusive] File

(0.375 = \frac3751000 = \frac38) Case 2: Pure Repeating Decimal Let (x) be the decimal. Multiply by (10^n) where (n) is the length of the repeating block. Subtract the original equation to eliminate the repeating part.

1. What is a Geratrix Fraction? A geratrix fraction (Portuguese: fração geratriz ) is the common fraction that generates a repeating decimal (also called a recurring decimal). In other words, it is the fraction in lowest terms that, when divided, produces a given decimal expansion that eventually repeats. exercicios sobre fração geratriz

(0.\overline72) (x = 0.727272\ldots) (100x = 72.727272\ldots) Subtract: (100x - x = 72 \Rightarrow 99x = 72 \Rightarrow x = \frac7299 = \frac811) Case 3: Mixed Repeating Decimal Let (x) be the decimal. Multiply by a power of 10 to move the decimal point to just before the repeating block, and by another power to include the whole repeating part. Subtract. In other words, it is the fraction in