Ex 3 , repede
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a)0,24=24/100=6/25
6/25 x 1/2 = 3/25
0,6=6/10=3/5
3/5 x 1/5 = 3/25
=>0,24/2 = 0,6/5
b)2 intregi 1/4 = 9/4
1 intreg 29/43 = 72/43
9/4 x 43/72 = 43/32
4 intregi 3/10 = 43/10
3 intregi 1/5 = 16/5
43/10 x 5/16 = 43/32
=>cele doua fractii sunt egale
c)2 intregi 1/14 = 29/14
4,8(3)=4 intregi (83-8)/90=4 intregi 75/90=4 intregi 5/6=29/6
29/14 x 6/29 = 3/7
1,1(6)=1 intreg (16-1)/90=1 intreg 15/90=1 intreg 1/6=7/6
1/2 x 6/7 =3/7
=>cele doua fractii sunt egale
d)0,2(3)=(23-2)/90=21/90=7/30
1,12(6)=1 intreg (126-12)/900=1 intreg 114/900=1 intreg 19/150=169/150
7/30 x 150/169 = 35/169
3,5=35/10=7/2
7/2 x 10/169 = 35/169
=>cele doua fractii sunt egale
6/25 x 1/2 = 3/25
0,6=6/10=3/5
3/5 x 1/5 = 3/25
=>0,24/2 = 0,6/5
b)2 intregi 1/4 = 9/4
1 intreg 29/43 = 72/43
9/4 x 43/72 = 43/32
4 intregi 3/10 = 43/10
3 intregi 1/5 = 16/5
43/10 x 5/16 = 43/32
=>cele doua fractii sunt egale
c)2 intregi 1/14 = 29/14
4,8(3)=4 intregi (83-8)/90=4 intregi 75/90=4 intregi 5/6=29/6
29/14 x 6/29 = 3/7
1,1(6)=1 intreg (16-1)/90=1 intreg 15/90=1 intreg 1/6=7/6
1/2 x 6/7 =3/7
=>cele doua fractii sunt egale
d)0,2(3)=(23-2)/90=21/90=7/30
1,12(6)=1 intreg (126-12)/900=1 intreg 114/900=1 intreg 19/150=169/150
7/30 x 150/169 = 35/169
3,5=35/10=7/2
7/2 x 10/169 = 35/169
=>cele doua fractii sunt egale
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