Question

Scrieti sub forma de fractie ordinara:
a) 2,(5); 13,(7); 125,(8); 0,(29); 4,(37); 125(106); 29,(471)
b) 0,2(7); 4,6(5); 8,23(7); 16,14(35); 200,79(125)

Answer 1

$a)2.(5) = \frac{25 - 2}{9} = \frac{23}{9}$

$13.(7) = \frac{137 - 13}{9} = \frac{124}{9}$

$125.(8) = \frac{1258 - 125}{9} = \frac{1133}{9}$

$0.(29) = \frac{29}{99}$

$4.(37) = \frac{437 - 4}{99} = \frac{433}{99}$

$125.(106) = \frac{125106 - 125}{999} = \frac{124981}{999}$

$29.(471) = \frac{29471 - 29}{999} = \frac{29442}{999} = \frac{9814}{333}$

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

$4.6(5) = \frac{465 - 46}{90} = \frac{419}{90}$

$8.23(7) = \frac{8237 - 823}{900} = \frac{7414}{900} = \frac{3707}{450}$

$16.14(35) = \frac{161435 - 1614}{9900} = \frac{159821}{9900}$

$200.79(125) = \frac{20079125 - 20079}{99900} = \frac{20059046}{99900} = \frac{10029523}{49950}$