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a) 12/36 và -16/20
rút gọn 12/36 = 4/9
rút gọn -16/20= -4/5
quy đồng 4/9=20/45
quy đồng -4/5= -36/45
b) 21/105 và 35/150
rút gọn 21/105=7/35
rút gọn 35/150 =7/30
quy đồng 7/35 =210/105
quy đồng 7/30 = 245/105
a: 27/-180=-27/180=-3/20=-21/140
-6/-35=6/35=24/120
-3/-28=3/28=15/140
b: \(\dfrac{3\cdot4+3\cdot7}{6\cdot5+9}=\dfrac{3\left(4+7\right)}{30+9}=\dfrac{11}{13}=\dfrac{2849}{13\cdot259}\)
\(\dfrac{6\cdot9-2\cdot17}{63\cdot6-119}=\dfrac{54-34}{259}=\dfrac{20}{259}=\dfrac{260}{259\cdot13}\)
a: 12/21=4/7=8/14
4/56=1/14
b: 12/15=4/5=24/30
6/36=1/6=5/30
15/50=3/10=9/30
c: 63/77=9/11=81/99
60/108=5/9=55/99
-18/27=-2/3=-66/99
d: -26/-156=1/6=7/42
49/-14=-7/2=-147/42
32/112=2/7=12/42
Rút gọn:
\(A=\frac{2483-13}{4966-26}=\frac{13.\left(191-1\right)}{26.\left(191-1\right)}\)
\(=\frac{13.190}{26.190}=\frac{13}{26}=\frac{1}{2}\)
\(B=\frac{2727-101}{7575+303}=\frac{101.\left(27+1\right)}{303.\left(25+1\right)}\)
\(=\frac{101.26}{303.26}=\frac{101}{303}=\frac{1}{3}\)
Quy đồng:
\(\frac{1}{2}\)và \(\frac{1}{3}\)
\(\frac{1}{2}=\frac{1.3}{2.3}=\frac{3}{6}\) \(\frac{1}{3}=\frac{1.2}{3.2}=\frac{2}{6}\)
a: -15/90=-1/6=-5/30
120/600=1/5=6/30
-75/150=-1/2=-15/30
b: -54/90=-3/5=-216/360
-180/288=-5/8=-225/360
-60/135=-4/9=-160/360
c: 212121/353535=3/5=42/70
131313/141414=13/14=65/70
e:
e1:40/-90=-4/9=-140/315
-70/-175=4/7=180/315
128/-1440=4/45=28/315
e2: 164/144=41/36
-936/-324=26/9=104/36
-860/720=43/36
\(\dfrac{5\cdot6+5\cdot7}{5\cdot8+20}=\dfrac{5\cdot6+5\cdot7}{5\cdot4\cdot2+5\cdot4}=\dfrac{5\cdot\left(6+7\right)}{5\cdot4\cdot\left(2+1\right)}=\dfrac{5\cdot13}{5\cdot4\cdot3}=\dfrac{13}{4\cdot3}=\dfrac{13}{12}\)
\(\dfrac{5.6+5.7}{5.8+20}\)
=\(\dfrac{5.\left(6+7\right)}{5.\left(8+4\right)}\)
=\(\dfrac{5.13}{5.12}\)
=\(\dfrac{13}{12}\)