Question

1217. Вычислите:

ПОМОГИИТЕТЕЕЕЕ​

Answer 1

Ответ:

Пошаговое объяснение:

1) 4 -1/(3 -1/(2 -1/2))=4 -1/(3 -1/(4/2 -1/2))=4 -1/(3 -2/3)=4 -1/(9/3 -2/3)=4 -3/7=3 7/7 -3/7=3 4/7

2) 7 -1/(5 -1/(1 -1/2))=7 -1/(5 -1/(2/2 -1/2))=7 -1/(5 -2)=6 3/3 -1/3=6 2/3

3) 6 -2/(5 -2/(4 -2/3))=6 -2/(5 -2/(12/3 -2/3))=6 -2/(5 -(2·3/10)=6 -2/(50/10 -6/10)=6 -(2·10)/44=6 -5/11=5 11/11 -5/11=5 6/11

4) 3/4 +7/(6 -3/(5 +8/(4 -4/5)))=3/4 +7/(6 -3/(5 +8/(20/5 -4/5)))=3/4 +7/(6 -3/(5 +(8·5)/16))=3/4 +7/(6 -3/(10/2 +5/2))=3/4 +7/(6 -(3·2)/15)=3/4 +7/(6 -2/5)=3/4 +7/(30/5 -2/5)=3/4 +(7·5)/28=3/4 +5/4=8/4=2