Matematică, întrebare adresată de Utilizator anonim, 8 ani în urmă

2 calculeaza folosind factorul comun
repede dau coroana​

Anexe:

Răspunsuri la întrebare

Răspuns de cocirmariadenis
1

Răspuns:

Explicație pas cu pas:

a)

( 7/12 ) × ( 23/27) + ( 7/12 ) × ( 4/27) =

= ( 7/12 ) × ( 23/27 + 4/27 ) =

= ( 7/12) × ( 27/27 ) =

= (7/12 ) × 1 =

= 7/12

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b)

(17/15) × (2/34) + ( 51/5) × (2/34 ) = 2/3

= ( 2/34 ) × ( 17/15 + 51/5) =

-> simplific fractia 2/34 cu 2

= ( 1/17 ) × ( 17/15 + 153/15) =

= ( 1/17 ) × ( 170/15) =

= 10/15 =

= 2/3

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c)

(24/35) × 18/25 + (24/35) ×2/15 + (24/35) × 11/75 =

= ( 24/35) × ( 18/25 + 2/15 + 11/75) =

= ( 24/35) × ( 18×3+2×5+11)/75 =

= (24/35) × 75/75 =

= 24/35

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d)

(12/49) × 81/25 - (1/35) × 12/5 + (4/25) × 12/49 =

= ( 81/49) × 12/25 - (1/7) × (12/25) + ( 4/49) × 12/25

= ( 12/25) × ( 81/49 - 1/7 + 4/49 ) =

= (12/25) × ( 81 - 7+4)/49 =

= (12/25) × 78/49 =

= ( 12×78)/(25×49) =

= 936/1225

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