Question

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Answer 1

Răspuns:

Explicație pas cu pas:

a) cu 2/7 mai mare decat 101/105-73/105+47/105

⇒2/7+ 101/105-73/105+47/105= 2/7+28/105+47/105= 2/7+75/105= 2/7+25/35= 2/7+5/7=7/7=1

b) este de 3 ori > decat 4·(1/3-1/2+1/4)=3·4·(4-6+3)/12=12·1/12=1

c) este cu 1 1/42 > decat (-16/77)·(-17/48+15/32)=

43/42+(-16/77)·(-17/48+15/32)=43/42+(-16/77)·(-17·2+45)/96=

43/42+(-16/77)·(-34+45)/96=43/42+(-16/77)·(11/96)=43/42-(16·11)/(77·96)=

43/42-11/(77·6)=43/42-1/(7·6)=43/42-1/42=(43-1)/42=42/42=1

d) este de 2 ori < decat (-5/18+7/12)·(+24/11)= [(-5/18+7/12)·(+24/11)]:2=

[(-10+21)/36·(24/11)]:2=[(11/36)·(24/11)]:2=[(11·24)/(36·11)]:2=(24/36):2=(2/3):2

= 2/(2·3)=1/3