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1
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(1)????? ????????81......... : ......... ?? )?????? ?????? ??(?? ?????? ????? ? ??????
(2)???????? ???? ??????? ????? ????? ?????82????????? ?????? ????? ? ????2,8?????
??? ?????????? ??????? ?????8......... :
(3)????? ??????666???? ???????? ?????? ??????? ?????? ????? ????? ? ?????? ???? ????????? ???????? ???? ?????
......... = ????????
(4)= ??? : ??? ????? ?????2:3?= ???? : ???6:7......... : ......... = ???? : ??? ?????
(5), ??? ?????? ?????81,6,9??? ??????????......... = ??? ????? ???????
(6)......... : ......... = ??????? ? ???????? ????? ????? ????? ????????
(7)
:???????? ????????
?:????????? ????? ?? ????????? ????????? ??????
(1)?????? ???????? ?????84???? ??????????5,3????? ????????? ?????? ????? ?????? ?????? ????? , ??????
:?? ??????
???-???-4????-1???-49
(2)????? ?????866?????? ???????? ??????? ????? ???? ??????366????????? ????? ????? ??????? ?????
???? ??????????36??? ???????? ????? ???? ??????
???-96???-866????-966???-9666
8
2

2
(3):3......... =
???-8:2???-2:5????-8:86???-8:5
(4)= ????? ?????......... = ??? ?????
???-3???-5????-85???-27
(5)????????? ????? ????????3,6,9......... =
???-???-????-???-
:???????? ????????
(???)????????? ??????? ?????? ??????? ???? ?????? ?????????4,0????????? ????? ??????? ?????? ?????????
8,4?????? ?????? .????.?????????
(???)?????? ??????? ????????? ?????? ??????? ??????? ???? ? ? ??????? ?????? ?????? ??????? ??????? ?????
?????? ? ???????? ?????? ??????? ???????? ?????? ????? ? ? ???????? ?????? ??????? ???????
?????? ??????? ?????? ?????8250??? ???? ???? ?????? ?????? ???? . ???????? ?????? ???? ??????????
:???????? ????????
(???)??????? ?????? ????? ?????? ????? ???????? ????????7:4?????????? ?????? ????? ??????44.?????????
.???????? ?????? ? ?????????? ????? ? ????? ???????
8
3
2
3
85
???
5
9
8
5
8
6
2
3
8
3
3
2
4
3
5
3

3
:???????? ????????
(???)?????? ???????? ? ???????? ???????? ??????????500?????? ????????? ? ???????? ???? ???????? ?? ?????????
600???? ???????? ?? ?????????2.??????
.??????? ?????? ???????????? ?? ???? ?????
?????? ???????? ????? ????? )???360??????? ??????? ????? ??????1:2
???? ????? ?????? ??????
1
2

4
????????:???????
?:????????? ????? ?? ????????? ????????? ??????
(1)366: ????8......... = ?????
???-1:2???-1:5????-1:10???-1:30
(2)????????? ?????? ?????4, ??? ,82,81......... = ??? ?????? ????? ?????????
???-2???-3????-6???-54
(3)?????? ????????6???????? ? ????24????2
???? ????????...... = ?????? ? ??????? ????? ?????
???-4:1???-10:3????-12:5???-3:2
(4)= ??? : ??? ????? ?????2:3= ???? : ??? ,5:7...............: ......... = ???? : ??? ?????
???-2:7???-10:21????-15:21???–1:2
(5)???????? ?????? ?????7:83???????? ????? ????: ???52= ??? ?????
???-14???-2????-47???-39
8
2

5
:???????? ????????
?:?????? ???? ??????
(1)????????? ?????? ????? ????? ?????3,6???????? ???? ??????? ????? ? ?????????5,4??????? ????? ????
: ......... ?? ???????8
(2)= ????? ?????4......... = ??? ?????
(3)81: ???????2??????......... : ......... =
(4)5: ?????366......... : ......... = ????)?????? ?????? ??(??
(5)............................. ?? ?????????
:???????? ????????
(???)?? ???????? ???????? ????? ???????? ??????2:3:4.???????? ??????? ?? ??????? ???? ??????
(???)?????????? ???????85?????? ????? ? ?????34????? .?????????? ????????? ?????? ?????? ???????? ??????
??????17.???????? ????? ???? ?????
+ ???82
6

6
:???????? ????????
(???)?????? ???????? ??????????????? ??????? ???????? ????????? ????????? ?????100:1??????? ????? ??????
???????? ?????????8,0.???????? ???? ???????? ????? ??????? ?????????
(???)??????? ????? ???????? ???????? ????? ????? ????? ??????????????9:7??????? ????? ????????
????????18.??????? ??????? ?????? ????? ?????? ????
:???????? ????????
(???)?????? ???????? ?????6???? ???????3????? ?????? ????? ? ? ?????? ????? ?????? ?????? ?????? .???????
??????6???? ????????10.???????? ???? ?????? ???????? ???? ???????
(???)???????? ??????????? ???????? ??????? ??????? ?? ??????1:100000????????? ?????? ??????
?? ????????? ????? ??????????36.?????????? ???????? ????? ???????? ????????? ?????? ? ?????????

7
:??????? ????????
?:?????? ???? ??????
(1).......... : ......... = ????????? ????????? ????? ????? ????? ????????
(2)????????................................ = ??????? ?????
(3)= ??? : ??? ????? ?????2:3= ???? : ??? ,3:5......... = ???? : ??? ?????
(4)??????? ???? ??????? ????? ?????2????????? ??????? ? ????6??????? ??????? ????? ???????
.......... : ......... ???????
:???????? ????????
???????????? ?? ????????? ?????????: ?????????
(1)??????? ???? ??????? ????? ?????2????????? ??????? ? ????26... ??????? ??????? ??????? ????? ?????
???-8:86???-8:866????-8:8666???-8:86666
(2)......... = ??? ????? , = ????? ?????
???-6???-28????-82???-7
2
7
???
28

8
(3)????? ????????81? ???????2???? ???????????? ??????
???-9:8???-8:9????-1:3???-3:1
(4............ : ............. = ???????? ???????? ????? ????? ????? ???????? )
???-4:8???–8:4????-8:3???-3:8
:???????? ????????
(???)????? ? ? ???????? ?????? ???? ??????? ?????? ??????? ??????? ???? ??????? ??????? ???????
????????? ?????? ??????? ??????? ???? ? ? ???????? ?????? ???? ????????6240.??????????
.????????? ?? ???? ???? ?????? ??????
(???)?????????? ???????22???? ?????? ???? ?????? ????? ? ? ?????????6?????? ????? ?????????????? ??????? ?????? ????????
????? ?????3??? ???????? ????? ???? ?????????
:???????? ????????
(???)?????????? ( ?????????? ??????? ??????? ??????? ????? ???????? ?????? ?????–?????????–?? ) ???????
4:5:8???????????? ????? ????? ? ?1200.??????????
.????????? ? ??????????? ?? ???? ????? ??????
(???)?????? ????? ???????12???????? ????4??? ????????? ????? ?????? ?????? . ???????
3
4
2
3

9
:???????? ????????
(???)????????? ????? ????????? ?????? ?????180?? ??????? ??????? ????? ? ? ????1:9000000
8-??? ????????? ????? ????????? ?????
)?(????????? ??????? ????? ???????? ???? ?????? ?????3:5??????? ?????? ???? ?????? ???????? ?????? ????? ??????
????36???????? ?????? ??????? . ??????????

10
:??????? ????????
??????? ???? ??????:
1-............ = ??????? ????? ????????
2-???????? ???? ?????? ????? ????? ?????7?? ????????? ??????? ????4,1?
= ???????? ??????? ??????? ?????1.......... :
3-??????????????90?????? ??????? ?????? . ?????? ???? ???????? ??....... = ??????????
4-= ??? : ??? ????? ?????1:4= ???? : ??? ?3:2........... = ?:??? ??? ???????
5-????????? ?????????? ????????7?14?4........... ??
6-???????? ????? ????? ????? ?????????????........... = ???????
???????? ????????:
1-?????? ???????? ????????24???? ??????4?????? ??????? .????????????
?????? / ??............???? ?? ?????????? ?????
???)2)???6)????8)???48
2-= ???????? ???? ?????? ?????4????????? ???????? ????2??
......... = ????????? ?????? ???????
???)2:1)???1:20)????20:1)???1:2
3-
2
5
:
1
6
???)12:5)???15:2)???6:5)???5:6

11
4-
5
4
:
15
???-1
......... = ??? ?????
???)3)???5)????13)???21
5-????? ?????3= ???24?????: ???24.............=................:.........
???)1:3)???1:24)????21:1)???3:1
: ???????? ????????
???-?????? ????????? ??????? ???? ??????? ??????? ???? . ??????? ???? ??????? ??????? ?????????????? ?????? ?????
2
5
???????? ??????? ???????? ??????
3
5
??????? ?????? ????? ??????? ??????? ??.??? ???????? ?????? ??92000
??? ???? ???? ?????? ??????? ??????????
: ???????? ????????
???-????? ????? ???????? ????????????????3:5?????????? ????? ?????? ????? ?????? ?80???? ???? ???????
.????????? ?????? ???? ???????? ???????
???-???????? ?????? ?????? ??????100?2????5???? ???????? ??????? ?????? ? ???????8???????
??????? ?????? ???? ???????? ???????? ?????? ???????50?2.
: ???????? ????????
???)?????? ????????250???????? ???? ???????? ?? ??????? ?????? ????????? .300????? ?? ?
?????? ??????? .?????? ???????? ???? ???????????
???)?? ???????? ?????? ????? ???????? ??????5:6:7???????? ????????? ?????? ?????? ?????? ?50?
.
.????????? ?????? ?????? ???????

12
??????? ????????? ???????
:??????? ????????
(1)= ???????24??????
18:24÷ (6)
3:4
(2)1,2×100=120????
??????? : ?????
12:120÷(12)
1:10
(3)= ???????? ???? ????????? ???????????
???
? ?
=400?????/??????????
(4)??? : ??? : ???
2:3?3
6?6:7
12:18:21÷(3)
4:6:7
???????? : ???=4:7
(5)
?
?
???
??
= ???
? ??
?
=12
(6)1:4

13
:???????? ????????
(1)
??
? ?
=4
(2)
?????????? ?????10030
????????? ?????300???
= ???
??? ??
???
=90??????? ?????
(3)
??
?
?
?
?
?
?
?
?
=6:30÷ (6)
=1:5
(4)= ???
? ??
?
=27
(5)?
?
?
:69
??
??
??
?
160:480=16:48÷(8= )2:6÷(2= )1:3=
8
3

14
:???????? ????????
(1)= ????????? ???????4?0??
= ??????? ???? ???????8?4????×01=44????
????????? ??????? : ??????? ???? ??????? = ??????? ???????
44:4?1× (01)
441:4÷ (4)
021:0
(2)?????????:????????:????????
5:3:3
4:4:3
20:12:9
???????? : ??????????????? :??????? :
20:12:9:11
:2850
??????= ???????? ???????8250÷11=750???????
= ??????? ??????750×20=15000???????
= ???????? ??????750×12=9000???????
= ???????? ??????750×9=6750???????
:???????? ????????
(1)???????:???????:) ??????? + ??????? (( ????????×2))
7:4:22
???:???:44
= ???????? ??????? ??????44÷22=2?
= ???????7×2=14?
= ???????4×2=8?
??????? = ?????????×= ???????14×8=112?2

15
:???????? ????????
(1)= ???????? ?????????? ??????5002=250????????????? /
= ????????? ?????????? ??????600÷5?2=240????????????? /
??????? ?????? ???????? ??????????
2????????? : ???????? : ??????? )
1:2:3
: ??? : ???360
= ???????? ??????? ??????360÷3=120??????
= ???1×120=120??????
= ???2×120=240??????

16
:??????? ????????
(1)300: ????
?
?
1?????
?
?
?????×1000=1500????
300:1500????( ÷300)
1:5
(2)
?
???
=
??
??
= ??? ????? ?
?? ?
??
=6
(3)???????×6=24????2
= ???????
??
?
=4????
)??????? + ?(?????? = ????????×2
( =6+4× )2=20????
= ??????? ????? ? ???????? ????? ????????20:6=10:3
(4)= ???? : ???10:21
???? : ??? : ???
2:3:3
5:5:7
____________
86:85:28

17
(5)
7
??
=
???
52
=???
??×7
??
=14
:???????? ????????
(1)= ??????? ???? ???????5,4×10=45??
??????? :?????
45:3,0×(10)
450:3(÷3)
150:1
(2)+ ???12=24= ??? ????? ?12
= ???24–12=12
(3)18: ???????2??????
18: ???????48???????÷6
3:8
(4)5×1000=5000????0
5000:3000=5:3
(5)?????? ???? ???????? ???????

18
:???????? ????????
(???)???1??? :2??? :3????????? :
2:3:4:9
: ??? : ??? : ???180?
???1=
??? ?
?
=40?
???2=
??? ?
?
=60?
???3=
??? ?
?
=80?
)?(??
????????? ???????85????
??????34?17?
= ???????? ?????
?? ?7
??
=5,42?
:???????? ????????
(???)????????? ??????? : ??????? ???? ???????
100:1
: ???8,0??
= ???
??? ???
?? ?
=8????

19
??????? : ??????? : ??????? )???
9:7:2
: ??? : ???81
= ??????? ??????81÷2=9????
= ???????9×9=18????
= ???????7×9=63????
) ??????? + ??????? ( = ????????×2( =18+63× )2=211????
:???????? ????????
6= ??????6×24=144???????
3= ???????180???????
= ???????? ?????????? ?????? ??????
???
???
=0.8??????? / ???????
= ????????? ?????????? ?????? ??????
?
??
=0.6??????? / ???????
????????????????????????
(???)????????? ??????? : ??????? ???? ??????? = ??????? ???????
=1:100000
: ???36????
= ??????? ???? ???????
?????? ? ??
??????
=36????

20
???????? ????????? ????????
:??????? ????????
(1)8?:??
(2)???????? ??????? : ??????? ???????
(3): ?????? : ???
2:3:3
3:3:5
6:9:85÷ (3)
2:3:5
= ??? : ???2:5
(4)=????????? ???? ???????6×866=666????
???: ???????????
2:666÷(2)
8:366
:???????? ????????
(1)????????? ???????=26×866=2666????
???: ???????????
2:2666÷(2)
8:8666

21
(2)
???
28
2
7
= ???
28 2
7
=6
(3)2×24=41???????=18:48÷(6= )3:8
(4)1:4
:???????? ????????
???-???????:????????:????????
3:4:4
2:2:3
6:1:82
3:4:6
???????:????????:????????:?????????
3:4:6:83
???:???:???:6246
= ??????? ??????6246÷83=416??????
= ???????3×416=8446??????
= ????????4×416=8926??????
= ????????6×416=2116??????

22
???-
????????= ????????
3 22
6
=88???
:???????? ????????
???-???????????????????? ::?????????
4:5:1
8266:???:???
= ??????? ??????8266÷4=366??????
= ??????????? ?????366×5=8566??????
= ????????? ?????366×1=2466??????
???-= ????????82÷4=3??????? / ??????
:???????? ????????
(???)??????? : ??????? ???? ????????????????
8:9666666
???:816
= ????????? ????? ?????????
816 866666 8
9666666
=2????
(???)??????? : ???????? : ???????
3:5:2
: ??? : ???36
= ???????? ??????? ??????36÷2=85??????
= ???3×85=45??????
= ???5×85=75??????
??????????22???
??????64

23
??????????? ????????? ???????
?:?? ??????? ????????
8-??????? ???????÷???????? ???????
2-4,8×866=846????
????????? ???? ??????? : ??????? ???? ???????
7:846÷(7)
8:26
3-96÷66=5,8??????? / ???
4-???? : ??? : ???
8:4:4
3:3:2
3:82:1
= ???? : ???3:1
5-
7
???
=
84
4
=???2
6-8:4
???????:?? ????????
8-24÷4=6?????? / ??????
2-4×86=46????
??????? : ?????
46:2÷(2)
26:8
3-82:5
4-???-8( =4×85÷ )5=82
=???82+8=83
5-8:3

24
?:?? ???????? ????????
???????? : ???????:????????
2:5:5
3:3:5
6:85:25
: ???????? : ???????????????? : ????????
6:85:25:46
:92666
= ???????? ??????? ??????92666÷46=2666??????
= ??????? ??????2666×6=82666??????
= ???????? ??????2666×85=36666??????
= ???????? ??????2666×25=56666??????
???????:?? ????????
???????? : ??????? : ???????
3:5:86
16
= ???????? ??????? ??????16÷86=5???
= ???????3×5=85???
= ???????5×5=25???
= ?????????85×25=8375???2
???2866???56???2
??????51???
( =???866×1÷)5=866???2
= ???
5×56
866
=2.5??????

25
?:?? ???????? ????????
???)= ???????? ??????256÷2=825?????? / ???
= ????????? ??????366÷2,5=826?????? / ???
?????? ????????
???)????????? : ????????? : ????????
5:6:7
56??? : ??? :
= ???????? ??????? ??????56÷5=86
= ???6×86=66
= ???7×86=76

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