Tính :
100 / 123 : ( 3/4 + 7/12 ) + 23/123 : ( 9/5 -7/15)
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1 tháng 12 2019
\(a,\left(\frac{2}{5}\right)^6.\left(\frac{25}{4}\right)^2=\left(\frac{2}{2.3}\right)^6.\left(\frac{5}{2}\right)^4\)
\(=\frac{1}{3^6}.\frac{5^4}{2^4}=\frac{5^4}{3^6.2^4}\)
\(b,\frac{100}{123}:\left(\frac{3}{4}+\frac{7}{12}\right)+\frac{23}{123}:\left(\frac{9}{5}-\frac{7}{15}\right)\)
\(=\frac{100}{123}:\left(\frac{9+7}{12}\right)+\frac{23}{123}:\left(\frac{27-7}{15}\right)\)
\(=\frac{100}{123}:\frac{16}{12}+\frac{23}{123}:\frac{20}{15}\)
\(=\frac{100.12}{123.16}+\frac{23.15}{123.20}\)
\(=\frac{5.5.4.3.4}{41.3.4.4}+\frac{23.3.5}{41.3.4.5}\)
\(=\frac{25}{41}+\frac{23}{164}=\frac{25.4+23}{164}\)
\(=\frac{123}{164}=\frac{3}{4}\)
S
19 tháng 1 2017
\(\frac{100}{123}:\left(\frac{3}{4}+\frac{7}{2}\right)+\frac{23}{123}:\left(\frac{9}{5}-\frac{7}{15}\right)\)
\(=\frac{100}{123}:\frac{17}{4}+\frac{23}{123}:\frac{4}{3}\)
\(=\frac{100}{123}\times\frac{4}{17}+\frac{23}{123}\times\frac{3}{4}\)
\(=\frac{400}{2091}+\frac{23}{164}=\frac{2773}{8364}\)
14 tháng 2 2020
a) 11-12+13-14+15-16+17-18+19-20
= -1 + ( -1 )+ ( -1 )+ ( -1 )+ ( -1 )
= -1 . 5
= -5
b) 101-102-(-103)-104-(105)-106-(107)-108-(-109)-110
= -1 + ( -1 )+ ( -1 )+ ( -1 )+ ( -1 )
= -1 . 5
= -5
29 tháng 11 2023
a: -23-12=-(23+12)=-35
a: -100-12=-(100+12)=-112
a: -123-20=-(123+20)=-143
a: 43-(-53)=43+53=96
a: 14-(-20)=14+20=34
a: -15-(-17)=-15+17=17-15=2
a: 143-(-123)=143+123=266
b: 12-(5-7)=12-(-2)=12+2=14
b: 15-(-9)-4=11+9=20
b: -17-(8-25)=-17-8+25=-25+25=0
b: -5+10-12-5=(10-5-5)-12=0-12=-12
b: (1456+23)-1456=1456-1456+23=0+23=23
b: (2354-45)-2354=2354-45-2354=-45
b: -2021-(57-2021)=-2021-57+2021=-57
c: 283+581-282-531=(283-282)+(581-531)=50+1=51
c: 3758+57-3769-66
=(3758-3769)+(57-66)
=(-11)+(-9)
=-(11+9)
=-20
c: 2575+37-2575+29
=37+29
=66
c: 17+33+(-37)+(-33)
=(17-37)+(33-33)
=0+(-20)
=-20
c: -4+(-10)+25+(-11)
=(-4-10-11)+25
=25-25
=0
c: 42-69+17+(-42)-17
=(42-42)+(17-17)+(-69)
=-69
c: (-2)+(-370)+(-8)+370
=(-2-8)+(-370+370)
=-10+0
=-10
\(\dfrac{100}{123}:\left(\dfrac{3}{4}+\dfrac{7}{12}\right)+\dfrac{23}{123}:\left(\dfrac{9}{5}-\dfrac{7}{15}\right)\)
= \(\dfrac{100}{123}:\left(\dfrac{9}{12}+\dfrac{7}{12}\right)+\dfrac{23}{100}:\left(\dfrac{27}{15}-\dfrac{7}{15}\right)\)
= \(\dfrac{100}{123}:\left(\dfrac{16}{12}\right)+\dfrac{23}{100}:\left(\dfrac{20}{15}\right)\)
= \(\dfrac{100}{123}:\dfrac{4}{3}+\dfrac{23}{123}:\dfrac{4}{3}\)
= \(\dfrac{100}{123}.\dfrac{3}{4}+\dfrac{23}{123}.\dfrac{3}{4}\)
= \(\dfrac{3}{4}.\left(\dfrac{100}{123}+\dfrac{23}{123}\right)\)
= \(\dfrac{3}{4}.1=\dfrac{3}{4}\)
\(\dfrac{100}{123}:\left(\dfrac{3}{4}+\dfrac{7}{12}\right)+\dfrac{23}{123}:\left(\dfrac{9}{5}-\dfrac{7}{15}\right)\)
=\(\left(\dfrac{100}{123}+\dfrac{23}{123}\right):\left(\dfrac{9}{12}+\dfrac{7}{12}\right):\left(\dfrac{27}{15}-\dfrac{7}{15}\right)\)
=\(1:1\dfrac{1}{3}:1\dfrac{1}{3}\)
=3:\(1\dfrac{1}{3}\)
=9