cine ma poate ajuta îi dau coroana, si e urgeeent va rog
Răspunsuri la întrebare
Răspuns:
Explicație pas cu pas:
Răspuns:
Explicație pas cu pas:
6)
a) ( 2/3) · x = 4/15
x = ( 4/15) : ( 2/3) = ( 4/15) × (3/2)
x = 2/5
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b)
x : ( 6/7) = 14/9
x = ( 14/9) × ( 6/7)
x = (14/7) ×(6/9)
x = (2×2)/3
x = 4/3
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c)
(24/25) : x = 18/5
x = (24/25) : ( 18/5) = ( 24/25 ) × (5/18) = (5/25) × (24/18)
x = (1/5) × (4/3)
x = 4/15
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7)
a) (1/2)× x + 1/4 = 1/3
(1/2)× x = 1/3 - 1/4 = ( 4 - 3)/12 = 1/12
x = ( 1/12) : ( 1/2) = ( 1/12) × 2
x = 1/6
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b)
x : ( 3/4) - 1/3 = 1/9
x : (3/4) = 1/9 + 1/3 = 1/9 + 3/9 = 4/9
x = (4/9) × (3/4)
x = 1/3
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c)
(5/8) : x - 1/4 = 1/2
(5/8) : x = 1/2 + 1/4 = 2/4 + 1/4 = 3/4
x = (5/8) : (3/4) = ( 5/8) × (4/3)
x = 5/6
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8)
a) a = 4/9; b = 1/3 si c = 1/5
a : b : c = (4/9) : (1/3) : (1/5) = (4/9) x 3 x 5 = 20/3
a : (b x c ) = 4/9 : ( 1/3 x 1/5 ) = (4/9) : 1/15 = (4/9) x 15 = 20/3
=> a : b : c = a : ( b x c )
20/3 = 20/3 Adevarat
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b) a = 2 intregi si 3/7; b = 17/15 si c = 2 intregi si 1/7
=> introduc intregii in fractie
a = (2 x 7 + 3)/7 => a = 17/7
c = ( 2 x 7 +1)/7 => c = 15/7
a : b : c = (17/7) : (17/15) : (15/7 ) = (17/7) x (15/17) x (7/15 ) = 1
a : ( b x c ) = ( 17/7 ) : ( 17/15 x 15/7 ) = (17/7) : 17/7= (17/7) x (7/17) = 1
=> a : b : c = a : ( b x c ) = 1 Adevarat)
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9).
a) a/b =8/15 si c = 400
(8/15) din X = 400 => X = 15 x 400 : 8 => X = 750
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b) a/b = 4/9 si c = 120
(4/9) din X = 120 => X = (120 x 9 ) : 4 => X = 270
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c) a/b = 1/6 si c = 150
(1/6 ) din X = 150 => X = 6 x 150 => X = 900
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10)
a) c = 2/5 si X = 2 intregi si 1/5 = ( 2 x 5 + 1 )/5 => X = 11/5
( a/b ) x 11/5 = 2/5
a/b = (2/5) : 11/5 = (2/5) x (5/11) => a/b = 2/11
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b) c = 2/5 si X = 18/5
(a/b) x 18/5 = 2/5
a/b = (2/5) : 18/5 = (2/5) x (5/18) => a/b = 1/9