125÷(50÷8)
= 125÷50×8
= 125×8÷50
= 1000÷50
=20
7.2× 1.02
=7.2×( 1+0.02)
=7.2× 1+7.2×0.02
=7.2+0. 144
=7.344
9 9/ 16÷9
=(9+9/ 16)÷9
=9÷9+9/ 16÷9
= 1+ 1/ 16
= 17/ 16
(90+ 1/88)× 1/89
=(90×88+ 1)/88× 1/89
=[(89+ 1)×(89- 1)+ 1]/88× 1/89
=[89^2- 1^2+ 1]/88× 1/89
=89^2/88× 1/89
=89/88
( 1/3- 1/4)+( 1/4- 1/5)+( 1/5- 1/6)
= 1/3- 1/4+ 1/4- 1/5+ 1/5- 1/6
= 1/3- 1/6
= 1
7.6× 1/2÷[ 1.9- 1.9×( 1.9- 1.9)]
=7.6× 1/2÷( 1.9-0)
=3.8÷ 1.9
=2
1 and 1/6× 1/7× 1 and/8×1and 1/9× 1.
=7/6×8/7×9/8× 10/9× 1 1/ 10
= 1 1/6
3.26×[ 1÷( 1/ 10-9/ 100)]
=3.26×[ 1÷( 10/ 100-9/ 100)]
=3.26×( 1÷ 1/ 100)
=3.26× 100
=326
(2.5+2.5+2.5+2.5)×25×8
=(2.5×4)×25×4×2
= 10× 100×2
=2000
(6.9×0. 125× 1.75)÷(2.3× 1/8× 1/4)
=6.9×0. 125× 1.75÷2.3÷ 1/8÷ 1/4
=6.9÷2.3×0. 125×8× 1.75×4
=3× 1×7
=2 1
[5-(0.5×9 and1/2+1/2×1/2)] > 8/21
=[5-( 1/2× 19/2+ 1/2× 1/2)]×2 1/8
=[5- 1/2×( 19/2+ 1/2)]×2 1/8
=(5- 1/2× 10)×2 1/8
=(5-5)×2 1/8
=0
(12 and 13/25+7 and 8/ 17)×2.5+(9 and 9/ 17+ 10 and/2/25) 2 and/
= (12 and 13/25+7 and 8/ 17)×2.5+(9 and 9/ 17+ 10 and12/25 )×
= ( 12 13/25+7 8/ 17+9 9/ 17+ 10 12/25)×2.5
=(23+ 17)×2.5
=40×2.5
= 100
1 2/3×[7 5/6+(4. 125-4 1/8)-4 5/6]
= 5/3× [7 5/6-4 5/6+(4 1/8-4 1/8)]
=5/3×(3+0)
=5
8 17/23+5 1/4-6 17/23+0.75.
= (8 17/23-6 17/23)+(5.25+0.75)
=2+6
=8
(5 5/9-0.8+2 4/9)× 12.5
= (5 5/9+2 4/9-0.8)× 12.5
=(8-0.8)× 12.5
=8× 12.5-0.8× 12.5
= 100- 10
=90
2.25×3/7×0.4×2 and 1/3
=2.25×0.4×3/7×7/3
=0.9× 1
=0.9
0.9 1÷4/5+ 1.25× 1.09
=0.9 1×5/4+5/4× 1.09
=5/4×(0.9 1+ 1.09)
=5/4×2
=2.5
9 2000/200 1× 1949
=( 10- 1/200 1)× 1949
= 10× 1949- 1/200 1× 1949
= 19490- 1949/200 1
= 10489+( 1- 1949/200 1)
= 10489+52/200 1
= 10489 and 52/200 1
24×5 1/43+5 1× 19/43
=24×5 1/43+ 19×5 1/43
=(24+ 19)×5 1/43
=43×5 1/43
=5 1
13.76-(7/12+1.76+1and 5/ 12)
=13.76-[1.76+(7/12+1and 5/ 12)]
= 13.76- 1.76-2
= 12-2
= 10
19.98×37- 199.8× 1.9+ 1998×0.82
= 199.8×3.7- 199.8× 1.9+ 199.8×8.2
= 199.8×(3.7- 1.9+8.2)
= 199.8× 10
= 1998
0.32×6.7+3.2×0.43-0.32
=3.2×0.67+3.2×0.43-3.2×0. 1
=3.2×(0.67+0.43-0. 1)
=3.2× 1
=3.2
2.5× 12.5×32-32-563
=2.5× 12.5×4×8-(32+563)
=(2.5×4)×( 12.5×8)-595
= 10× 100-595
= 1000-595
=405
9 3/4- 15/ 19-2/ 19× 2
= 9 3/4-( 15/ 19+4/ 19)
= 9 3/4- 1
= 8 3/4
(2/3+ 1/5)+(2/3- 12/ 17)-( 1/5+5/ 17)
=2/3+ 1/5+2/3- 12/ 17- 1/5-5/ 17
=(2/3+2/3)+( 1/5- 1/5)-( 12/ 17+5/ 17)
=4/3+0- 1
= 1/3
(4/9+5/ 13+5/9+8/ 13)×( 1-9 1/ 100)
=[(4/9+5/9)+(5/ 13+8/ 13)]×9/ 100
=( 1+ 1)×9/ 100
=9/50
[(1/4-1/4 ÷ 2) × 8/13+1÷ 6 and 1/2]÷0.0 1
=[( 1/4- 1/8)×8/ 13+ 1×2/ 13]× 100
=( 1/8×8/ 13+2/ 13)× 100
=3/ 13× 100
=300/ 13
(3+3/4÷3/4+3)-(7× 1/6÷7× 1/6)
=(3+ 1+3)-( 1/6× 1/6)
=7- 1/36
= 6 35/36
5-[ 1 and 1/3-(2.5- 1 and 2/3)] 0. 125
= 5-( 1 and 1/3+ 1 and 2/3-2.5) × 8
=5-(3-0.5)×8
=5-0.5×8
=5-4
= 1
14.8×6.3+46.5×4.5+8.3×3.7+0.465×550-6.3×6.5
= 14.8×6.3-6.3×6.5+46.5×4.5+46.5×5.5+8.3×3.7
=6.3×( 14.8-6.5)+46.5×(4.5+5.5)+(8+0.3)×3.7
=6.3×8+46.5× 10+8×3.7+0.3×3.7
=8×(6.3+3.7)+465+ 1. 1 1
=80+466. 1 1
=546. 1 1
(78.6-0.786×25+0.75×2 1.4)÷ 15×200 1
=(78.6-78.6×0.25+0.75×2 1.4)÷ 15×200 1
=[78.6×( 1-0.25)+0.75×2 1.4)÷ 15×200 1
=(78.6×0.75+0.75×2 1.4)÷ 15×200 1
=0.75×(78.6+2 1.4)÷ 15×200 1
=0.75× 100÷ 15×200 1
=75÷ 15×200 1
=5×200 1
= 10005
(49/90× 7/20+1.65× 49/90-49/90) ÷ [2 and 14/ 15-(4-2 and14//.
= 49/90× (0.35+ 1.65- 1) ÷ (2 14/ 15+2 14/ 15-4)
= 49/90× 1 \( 4 and 28/ 15-4)
=49/90× 15/28
=7/24
(1 and11998× 8.12+5 and 3 1/75÷2/3×8 and1997//kloc-0.
= (1 and11998× 8 and12/100+406/75× 3/2× 8 and1997//kloc-)
= (1 and11998× 203/25+203/25× 8 and 1997/ 1998)÷4 and1
= 203/25× (1 and11998+8 and 1997/ 1998)÷4 and1.
=203/25× 10÷203/48
= 10/25×48
=96/5
2÷(2 2/9×4/5+2 2/9×6.2-5.8×2 2/9)×9/20
= 2 ÷ [2 2/9×(4/5+6.2-5.8)]×9/20
=2÷(20/9× 1.2)×9/20
=2×3/8×9/20
=27/80
1 and 2/3-[(3.62×2/ 15+6.38÷7 and1/2) ×1.82-1and1/.
= 1 and 2/3-[(3.62× 2/15+6.38× 2/15) ×1.82-1and1/3.
= 1 and 2/3-[2/15× (3.62+6.38 )×1.82-4/3× 0.82]
=5/3-[2/ 15× 10× 1.82-4/3×0.82]
=5/3-4/3×( 1.82-0.82)
=5/3-4/3
= 1/3
12÷(6 7/ 10×0.8+6 7/ 10×6 1/2-4/5×6 7/ 10+2 1/3×
= 12 ÷ [6 7/ 10× (0.8+ 13/2-0.8+7/3)]
= 12÷[67/ 10×53/6]
= 12÷[(60+7)×(60-7)/60]
= 12÷[(3600-49)/60]
=720/355 1
38× 1 and11999+8 and1998/and118/35438.
= 38× 1 and11999+8 and1998/1999×19/18× 36.
= 38× (1 and11999+8 and 1998/ 1999).
=38× 10
=380
9.75+99.75+999.75+9999.75
= 10-0.25+ 100-0.25+ 1000-0.25+ 10000-0.25
=( 10+ 100+ 1000+ 10000)-0.25×4
= 1 1 1 10- 1
= 1 1 109
1/200 1+2/200 1+3/200 1+4/200 1+…+200 1/200 1
=( 1+2+3+...+200 1)/200 1
=[( 1+200 1)×200 1÷2]/200 1
= 100 1×200 1/200 1
= 100 1
10 10 1/ 13 13 13×9 1
= 10 10 1/( 13× 10 10 1)×(7× 13)
=7
1 12 and 14/23÷37
=( 1 12+ 14/23)÷37
=( 14×8+ 14× 1/23)÷37
= 14× 8 and 1/23÷37
= 14× 185× 1/37
= 14×5
=70
125×25×3232×69
= 125×25×(4×8× 10 1)×69
=( 125×8)×(25×4)×( 10 1×69)
= 1000× 100×6969
=696900000
3333×3333+9999×8889
= 1 1 1 1×3×3333+9999×8889
= 1 1 1 1×9999+9999×8889
=9999×( 1 1 1 1+8889)
=9999× 10000
=99990000
9999×7+ 1 1 1 1×37
= 1 1 1 1×9×7+ 1 1 1 1×37
= 1 1 1 1×(63+37)
= 1 1 1 1× 100
= 1 1 1 100
999×778+333×666
=999×778+333×3×222
=999×(778+222)
=999× 1000
=999000
200 1200 1÷ 1997 1997
=200 1× 1000 1÷( 1997× 1000 1)
=200 1÷ 1997
=200 1/ 1997
20022002÷200 1200 1
=2002× 1000 1÷(200 1× 1000 1)
=2002÷200 1
=2002/200 1
97×2000-96×200 1
=97×(200 1- 1)-96×200 1
=97×200 1-97-96×200 1
=(97-96)×200 1-97
=200 1-97
= 1904
1989× 1999- 1988×2000
= 1989×(2000- 1)- 1988×2000
= 1989×2000- 1989- 1988×2000
=( 1989- 1988)×2000- 1989
=2000- 1989
= 1 1
5/2 1×2/7+2 and19/2/kloc-0 /× 5/7+(1-2/7)
= 5/7× 2/2 1+2 and 19/2 1× 5/7+5/7.
= 5/7× (2/2 1+2 and 19/2 1+ 1)
=5/7×4
=20/7
1- 1/2- 1/4- 1/8-…- 1/ 128
= 1/2- 1/4- 1/8-...- 1/ 128
= 1/4- 1/8-...- 1/ 128
= 1/8-...- 1/ 128