20 Срочно! Буду благодарна вам!!...

April 2021 2 11 Report

вычислите сумму, группируя дроби с одинаковыми знаменателями.
3/7+4/9+4/7+5/9
1/11+1/5+4/11+4/5+6/11
1/15+4/15+1/18+5/18+2/21+5/21+1/24+7/24
1/8+1/12+1/16+1/20+3/8+5/12+7/16+9/20
Срочно! Буду благодарна вам!!

jekadva

Verified answer

3/7+4/9+4/7+5/9=(3/7+4/7)+(4/9+5/9)=7/7+9/9=1+1=2

1/11+1/5+4/11+4/5+6/11=(1/11+4/11+6/11)+(1/5+4/5)=11/11+5/5=1+1=2

1/15+4/15+1/18+5/18+2/21+5/21+1/24+7/24=(1/15+4/15)+(1/18+5/18)+(2/21+5/21)+(1/24+7/24)=5/15+6/18+7/21+8/24=1/3+1/3+1/3+1/3=4/3=1 1/3

1/8+1/12+1/16+1/20+3/8+5/12+7/16+9/20=(1/8+3/8)+(1/12+5/12)+(1/16+7/16)+(1/20+9/20)=4/8+6/12+8/16+10/20=1/2+1/2+1/2+1/2=4/2=2

38 votes Thanks 78

selmash21

Verified answer

=(3/7+4/7)+(4/9+5/9)=1+1=2
₩₩₩₩
=(1/11+4/11+6/11)+(1/5+4/5)=1+1=2
₩₩₩₩
=(1/15+4/15)+(1/18+5/18)+(2/21+5/21)+(1/24+ 7/24)=5/15+6/18+7/21+8/24=
=1/3+1/3+1/3+1/3=4/3 =1 1/3
₩₩₩₩
=(1/8+3/8)+(1/12+5/12)+(1/16+7/16)+(1/20+9/20)=4/8+6/12+8/16+10/20=
=1/2+1/2+1/2+1/2=4/2=2

14 votes Thanks 15

Answers & Comments

Verified answer

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10 - 3\4...

25...

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20*6...

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