Question

aduceyi la acelasi numitor,apoi ordonati crescator fractiile
c) 11/12;6/16;15/30
d)3(1/6);1(2/3);2(3/4)
VA ROG AJUTATIMA DAU COROANA

Answer 1

c) 11/12;  6/16; 15/30
12 = 2² x 3
16 = 2⁴
30 = 2 x 3 x 5
cmmmc al numerelor ( 12, 16, 30) = 2⁴ x 3 x 5 = 240

11/12 = (20 x 11) / 240 = 220/240
6/16 = ( 15 x 6) / ( 15 x 16) = 90/240
15/30= ( 8 x 15) / ( 8 x 30 ) = 120/240

90/240  <  120/240  <  220/240
  ↓                    ↓              ↓
 6/16    <    15/30    <  11/12
 
d)
3 intregi si 1/6 = ( 3 x 6 + 1 ) /6 = 19/6 
1 intregi si 2/3 = ( 1 x 3 + 2) /3 = 5/3
2 intregi si 3/4 = ( 2 x 4 + 3 ) /4 = 11/4
 → cmmmc al numerelor ( 6, 3, 4) = 2²×3= 12

19/6 = ( 2 x 19) / 12= 38/12
5/3 = ( 4 x 5 ) /12 = 20/12
11/4 = ( 3 x 11) / 12= 33/12

20/12   < 33/12  <  38/12
  ↓               ↓            ↓
 5/3     <   11/4   <   19/6