Răspuns
Explicație pas cu pas:
a) 6 / 11 : 9 / 22 = 6 / 11 × 22 / 9 = ( 22 / 11) × (6 / 9 ) = 2 × 2 / 3 = 4 /3
b) 12 / 13 : 4 / 39 = 12 / 13 × 39 / 4 = ( 12 / 4 ) × 39 / 13 = 3 × 3 = 9
c) 2 / 3 : 1 / 6 = 2 / 3 × 6 = 12 / 3 = 4
d) 3 / 4 : 21 / 40 = 3 / 4 × 40 / 21 = ( 40 / 4 ) × 3 / 21 = 10 × 1 / 7 = 10 / 7 = 1 intreg si 3 / 7
e) 56 : 8 / 11 = 56 × 11 / 8 = 7 × 11 = 77
f) 1 intreg si 5 / 13 = ( 1 × 13 + 5 ) / 13 = 18 / 13
18 / 13 : 6 = 18 / 13 × 1 / 6 = 3 / 13
g) → introduc intregii in fractie
2 intregi si 1 / 3 = ( 2 × 3 + 1 ) / 3 = 7 / 3
7 / 9 : 7 / 3 = 7 / 9 × 3 / 7 = ( 7 / 7 ) × ( 3 / 9) = 1 × 1 / 3 = 1 / 3
h) 2 intregi si 1 / 2 = ( 2 x 2 + 1 ) / 2 = 5 / 2
1 intreg si 1 / 4 = ( 1 x 4 + 1 ) / 4 = 5 / 4
5 / 2 : 5 / 4 = 5 / 2 × 4 / 5 = 2
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i) 9 intregi si 4 / 5 = ( 9 x 5 + 4 ) / 5 = 49 / 5
4 intregi si 2 / 3 = ( 4 x 3 + 2 ) / 3 = 14 / 3
49 / 5 : 14 / 5 = 49 / 5 × 5 / 14 = 49 / 14 = 7 / 2 = 3 intregi si 1 / 2
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j) 5 intregi si 1 / 3 = ( 5 x 3 + 1 ) / 3 = 16 / 3
1 intreg si 5 / 9 = ( 1 x 9 + 5 ) / 9 = 14 / 9
16 / 3 : 14 / 9 = 16 / 3 × 9 / 14 = 16 / 14 × 3 = 24 / 7 = 3 intregi si 3 / 7
