Question

Scrieti fractiile zecimale sub forma de fractii ordinare dupa model:

C)1,4(2)=1 42-4 pe 90=1 19 pe 45 0,2(7);4,6(5);8,23(7);16,14(35);200,79(125)
Va rog repede!

Answer 1

$0.2(7) = \frac{27 - 2}{90} = \frac{25}{90} = \frac{5}{18}$

$4.6(5) = 4\frac{65 - 6}{90} = 4 \frac{59}{90} = \frac{4 \times 90 + 59}{90} = \frac{360 + 59}{90} = \frac{419}{90}$

$8.23(7) = 8 \frac{237 - 23}{900} = 8 \frac{214}{900} = \frac{8 \times 900 + 214}{900} = \frac{7200 + 214}{900} = \frac{7414}{900} = \frac{3707}{450}$

$16.14(35) = 16 \frac{1435 - 14}{9900} = 16 \frac{1421}{9900} = \frac{16 \times 9900 + 1421}{9900} = \frac{158400 + 1421}{9900} = \frac{159821}{9900}$

$200.79(125) = \frac{20079125 - 79125}{99900} = \frac{20059046}{99900} = \frac{10029523}{49950}$