Răspuns :
a) 5•5+4/5 = 29/5
9•9+11/9 = 92/9
4•10+3/10 = 43/10
8•8+7/8 = 71/8
b) 11:7 = 1 inteeg si 4/7
15:12 = 1 intreg si 3/12
19:4 = 4 intregi si 5/4
27:8 = 3 intregi si 3/8
8:3 = 2 intregi si 2/3
15:9 = 1 intreg si 6/9
9•9+11/9 = 92/9
4•10+3/10 = 43/10
8•8+7/8 = 71/8
b) 11:7 = 1 inteeg si 4/7
15:12 = 1 intreg si 3/12
19:4 = 4 intregi si 5/4
27:8 = 3 intregi si 3/8
8:3 = 2 intregi si 2/3
15:9 = 1 intreg si 6/9
1. [tex]5\frac{4}{5} = \frac{5 x 5 + 4}{5} = \frac{29}{5}[/tex]
[tex]9\frac{11}{9} = \frac{9 x 9 + 11}{9} = \frac{92}{9}[/tex]
[tex]4\frac{3}{10} = \frac{4 x 10 +3}{10} = \frac{43}{10}[/tex]
[tex]8\frac{7}{8} = \frac{8 x 8 + 7}{8} = \frac{71}{8}[/tex]
2. [tex]\frac{11}{7}; 7y+z = 11 => y= 1, z= 4 + =>\frac{11}{7}= 1\frac{4}{7}[/tex]
(pe acelasi model la toate)
[tex]\frac{15}{12} = \frac{12 x 1 + 3}{12} = 1\frac{3}{12}[/tex]
[tex]\frac{19}{4} = \frac{4 x 4 + 3}{4} = 4\frac{3}{4}[/tex]
[tex]\frac{27}{8} = \frac{8x3 + 3 }{8} = 3\frac{3}{8}[/tex][tex]\frac{8}{3} = \frac{3x2+2}{3}= 2\frac{2}{3}[/tex]
[tex]\frac{15}{9} = \frac{9 x 1+ 6}{9} = 1\frac{6}{9}[/tex]