Question

Va rog urgent ex a b c din imagine!!!!!!!!

Answer 1

→ introduc intregii in fractie

a )

9 intregi si 5 / 6 = ( 9 x 6 + 5 ) / 6 = 59 / 6

2 intregi si 3 / 4 = ( 2 x 4 + 3 ) / 4 = 11 / 4

=  59 / 6 - 11 / 4  =  

= ( 2 x 59 ) / ( 2 x 6 ) - ( 3 x 11 ) / ( 3 x 4 ) =

= 118 / 12 - 33 / 12 =

= 85 / 12 =

= 7 intregi si 1 / 12

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b )

3 intregi si 3 / 10 = ( 3 x 10 + 3 ) / 10 = 33 / 10

1 intreg si 7 / 15 = ( 1 x 15 + 7 ) / 15 = 22 / 15

= 33 / 10 - 22 / 15 = → cmmmc al numitorilor 10 si 15 = 2 x 3 x 5 = 30

= ( 3 x 33 ) / ( 3 x 10 ) -  ( 2 x 22 ) / ( 2 x 15 ) =

= 99 / 30 - 44 / 30 =

= 55 / 30 =

= ( 55 : 5 ) / ( 30 : 5 ) =

= 11 / 6 =

= 1 intreg si 5 / 6

Answer 2

$a)9 \frac{5}{6} - 2 \frac{3}{4} = \frac{9 \times 6 + 5}{6} - 2 \frac{3}{4} = \frac{54 + 5}{6} - 2 \frac{3}{4} = \frac{59}{6} - 2 \frac{3}{4} = \frac{59}{6} - \frac{2 \times 4 + 3}{4} = \frac{59}{6} - \frac{8 + 3}{4} = \frac{59}{6} - \frac{11}{4} = \frac{59 \times 2}{6 \times 2} - \frac{11 \times 3}{4 \times 3} = \frac{118}{12} - \frac{33}{12} = \frac{118 - 33}{12} = \frac{85}{12} = 7 \frac{1}{12} \\ \\ b)3 \frac{1}{10} - 1 \frac{7}{15} = \frac{3 \times 10 + 3}{10} - 1 \frac{7}{15} = \frac{30 + 3}{10} - 1 \frac{7}{15} = \frac{33}{10} - 1 \frac{7}{15} = \frac{33}{10} - \frac{1 \times 15 + 7}{15} = \frac{33}{10} - \frac{15 + 7}{15} = \frac{33}{10} - \frac{22}{15} = \frac{33 \times 3}{10 \times 3} - \frac{22 \times 2}{15 \times 2} = \frac{99}{30} - \frac{44}{30} = \frac{99 - 44}{30} = \frac{55}{30} = \frac{11}{6} = 1 \frac{5}{6} \\ \\ c)7 \frac{5}{18} - 1 \frac{7}{12} = \frac{7 \times 18 + 5}{18} - 1 \frac{7}{12} = \frac{126 + 5}{18} - 1 \frac{7}{12} = \frac{131}{18} - 1 \frac{7}{12} = \frac{131}{18} - \frac{1 \times 12 + 7}{12} = \frac{131}{18} - \frac{12 + 7}{12} = \frac{131}{18} - \frac{19}{12} = \frac{131 \times 2}{18 \times 2} - \frac{19 \times 3}{12 \times 3} = \frac{262}{36} - \frac{57}{36} = \frac{262 - 57}{36} = \frac{205}{36} = 5 \frac{25}{36}$