Răspuns :
a)
{[(27/25-1/2×21/25)] × 25/3 - 1}×3013 - 10^3 =
= [(27/25-21/50)×25/3-1]×3013-1000 =
=[ (27×2/50 - 21/50)×25/3-1]×3013-1000 =
=[ (54/50 -21/50)×25/3 -1 ] × 3013 - 1000 =
= (33/50×25/3-1)×3013-1000 =
= (11/2-1)×3013-1000 =
= (11/2 - 2/2) × 3013-1000 =
= 9/2 × 3013 - 1000 =
= 27117/2 - 1000 =
= 27117/2 - 2000/2 =
= 25117/2 =
= 12558,5
b)
(65/195 + 108/324 + 122/36) × (24/168-6/42) =
= (65/195 + 108/324 + 122/36)×(1/7 - 1/7) =
= (65/195 + 108/324 + 122/36) × 0 =
= 0
in a doua paranteza am simplificat:
24/168 cu 24 = 1/7
6/42 cu 6 = 1/7
{[(27/25-1/2×21/25)] × 25/3 - 1}×3013 - 10^3 =
= [(27/25-21/50)×25/3-1]×3013-1000 =
=[ (27×2/50 - 21/50)×25/3-1]×3013-1000 =
=[ (54/50 -21/50)×25/3 -1 ] × 3013 - 1000 =
= (33/50×25/3-1)×3013-1000 =
= (11/2-1)×3013-1000 =
= (11/2 - 2/2) × 3013-1000 =
= 9/2 × 3013 - 1000 =
= 27117/2 - 1000 =
= 27117/2 - 2000/2 =
= 25117/2 =
= 12558,5
b)
(65/195 + 108/324 + 122/36) × (24/168-6/42) =
= (65/195 + 108/324 + 122/36)×(1/7 - 1/7) =
= (65/195 + 108/324 + 122/36) × 0 =
= 0
in a doua paranteza am simplificat:
24/168 cu 24 = 1/7
6/42 cu 6 = 1/7