Question

Transforme em fraçoes irredutiveis os seguintes numeros decimais :
a) 0,15
b) 3,4
c) 0,555
d) 0,8333333
(Com contas)

Answer 1

a)
$\frac{0.15}{1} = > \frac{0.15}{1} \times (100) = > \frac{15}{100} = > \frac{15}{100} \div ( 5) = > \frac{3}{20}$


b)
$\frac{3.4}{1} \times (10) = > \frac{34}{10} = > \frac{34}{10} \div (2) = > \frac{17}{5}$


c)
$x = 0.55... \\ \\ x = 0.55... \times (10) \\ 10x = 5.55... \\ \\ 10x = 5.55... \\ - x = 0.55... \\ \\ 9x = 5 \\ x = \frac{5}{9}$


d)
$x = 0.833... \times (10) \\ 10x = 8.33... \\ \\ x = 0.833... \times (100) \\ 100x = 83.33... \\ \\ 100x = 83.33... \\ - 10x = 8.33... \\ \\ 90x = 75 \\ x = \frac{75}{90} \\ x = \frac{75}{90} \div (15) \\ x = \frac{5}{6}$