Răspuns:
Explicație pas cu pas:
-> introduc intregii in fractie:
1 intreg si 2/3 = (1×3+2)/3 = 5/3
3 intregi si 1/8 =(3×8+1)/8 = 25/8
1 intreg si 3/12 =(1×12+3)/12= 15/12 = 5/4
= ( 5/3 + 5/8) : ( 25/8 - 15/12) =
= ( 40/24 + 15/24): ( 25/8 - 5/4) =
= (55/24) : ( 25/8 - 10/8 ) =
= (55/24) : ( 15/8) =
= (55/24) × (8/15) =
= 11/(3×3) =
= 11/9 =
= 1 intreg si 2/9
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7 intregi si 1/15 = (7×15+1)/15 = 106/15
3 intregi 1/15 = ( 3×15+1)/15 = 46/15
2 intregi si 1/3 = (2×3+1)/3 = 7/3
= (30/7) × ( 106/15 + 46/15 - 7/3) =
= (30/7) × ( 152/15 - 35/15) =
= (30/7) × ( 117/15) =
= (2×117)/7 =
= 234/7
= 33 intregi si 3/7
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(3/16) × ( 16/24 - 5/8 ) =
= (3/16) × ( 16/24 - 15/24) =
= (3/16) × (1/24 ) =
= 1/(16×8) =
= 1/128
