Question

se dau fractiile ordinare ireductibile: 6/125; 7/12; 1/4; 1/250; 2/15; 13/40; 5/30; 11/200; 3/8; 9/50; 29/2; 10/3; 3/5; 103/400. a) Scrieti-le pe acelea care se transforma in fractii zecimale finite. b) Amplificandu-le corespunzator, transformati fractiile gasite la puncul a) in fractii zecimale

Answer 1

6/125; 7/12; 1/4; 1/250; 2/15; 13/40; 5/30; 11/200; 3/8; 9/50; 29/2; 10/3; 3/5; 103/400.

se aleg fractiile care au numitori numere divizibile prin 2  și 5 .
Acestea dau fracții zecimale finite.
6/125, 1/4, 1/250, 13/40, 11/200, 3/8, 9/50, 29/2, 3/5, 103/400

6/125=se amplifica cu 8⇒    $\frac{6}{125}= \frac{48}{1000}$

1/4 se amplifica cu 25⇒     $\frac{1}{4}= \frac{25}{100}$

1/250 se amplifica cu 4⇒    $\frac{1}{1250}= \frac{4}{1000}$

 13/40 se amplifica cu  50 ⇒    $\frac{13}{40}= \frac{325}{1000}$

11/200   se amplifica cu  5 ⇒      $\frac{11}{20}= \frac{55}{1000}$

3/8  se amplifica cu  125 ⇒     $\frac{3}{8}= \frac{375}{1000}$

9/50  se amplifica cu  2 ⇒     $\frac{9}{50}= \frac{18}{100}$

29/2  se amplifica cu 5 ⇒     $\frac{29}{2}= \frac{145}{10}$

3/5  se amplifica cu  2 ⇒     $\frac{3}{5}= \frac{6}{10}$

103/40  se amplifica cu  25 ⇒     $\frac{103}{40}= \frac{2575}{1000}$

Answer 2

6/125=0.048
7/12=0.58(3)
1/4=0.25
1/250=0.004
2/15=0.1(3)
13/40=0.325
5/30=1/6=0.1(6)
11/200=0.055
3/8=0.375
9/50=0.18
29/2=14.5
10/3=3.3(3)
3/5=0.6
103/400=0.2575
succes