Răspuns
Explicație pas cu pas:
a) → introduc intregii in fractie
5 intregi si 1 / 4 = ( 5 × 4 + 1 ) / 4 = 21 / 4
6 intregi si 1 / 10 = ( 6 × 10 + 1 ) / 10 = 61 / 10
21 / 4 + 61 / 10 =
→ c.m.m.m.c. al numitorilor ( 4 si 10 ) = 20
→ aducem fractiile la acelasi numitor
= ( 21 × 5 ) / 20 + ( 61 × 2 ) / 20 =
= 105 / 20 + 122 / 20 =
= 227 / 20 =
= 11 intregi si 7 / 20
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b)
25 / 4 + 17 / 3 + 41 / 24 =
= ( 25 × 6 ) / 24 + ( 17 × 8 ) / 24 + 41 / 24 =
= ( 150 + 136 + 41 ) / 24 =
= 333 / 24 =
= ( 333 : 3 ) / ( 24 : 3 ) → simplific cu 3
= 111 / 8 =
= 13 intregi si 7 / 8
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c)
29 / 6 - 9 / 4 =
= ( 29 × 2 ) / 12 - ( 9 × 3 ) / 12 =
= 58 / 12 - 27 / 12 =
= 31 / 12 =
= 2 intregi si 7 / 12
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d)
9 / 2 - 5 / 3 =
= ( 9 × 3 ) / 6 - ( 5 × 2 ) / 6 =
= 27 / 6 - 10 / 6 =
= 17 / 6 =
= 2 intregi 5 / 6
