Răspuns:
Explicație pas cu pas:
a) [ 2; 3; 4; 2,5 ] i. p. [ 12; 8; 6; 9,6 ]
⇒ 2/(1/12) = 3/(1/8) = 4/( 1/6) = 2,5/(1/9.6)
2/(1/12) = 2 : ( 1/12) = 2 × 12/1 = 24
3/(1/8) = 3 : (1/8) = 3 × 8 = 24
4/(1/6) = 4 : (1/6) = 4 × 6/1 = 24
2.5 : ( 1/9,6) = ( 25/10) × 96/10 = 96/4 = 24
⇔ 2×12 = 3×8 = 4×6 = 2,5×9,6 = 24 √
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b) [ 1,2; 4; 1,5 ] i. p. [ 30; 9; 24 ]
⇒ 1,2/(1/30) = 4/(1/9) = 1,5/(1/24)
⇔ 1,2 × 30 = 4 × 9 = 1,5 × 24 = 36
1,2: (1/30) = 1,2 × 30 = 36
4 : ( 1/9) = 4 × 9/1 = 36
1,5 : ( 1/24) = (15/10) × 24= 3×24/2 = 36
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c) [5; 15; 3 ] i. p. [ 27; 9; 45]
⇒5/( 1/27) = 15/(1/9) = 3/(1/45)
⇒ 5 ×27 = 15×9 = 3×45 = 135
