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a: 27/-180=-27/180=-3/20=-21/140
-6/-35=6/35=24/120
-3/-28=3/28=15/140
b: \(\dfrac{3\cdot4+3\cdot7}{6\cdot5+9}=\dfrac{3\left(4+7\right)}{30+9}=\dfrac{11}{13}=\dfrac{2849}{13\cdot259}\)
\(\dfrac{6\cdot9-2\cdot17}{63\cdot6-119}=\dfrac{54-34}{259}=\dfrac{20}{259}=\dfrac{260}{259\cdot13}\)
\(A=\dfrac{71\cdot52+53}{530\cdot71-180}\\ A=\dfrac{71\cdot52+53}{10\left(53\cdot71-18\right)}\\ A=\dfrac{71\cdot52+53}{10\left[\left(52+1\right)\cdot71-18\right]}\\ A=\dfrac{71\cdot52+53}{10\left(52\cdot71+71-18\right)}\\ A=\dfrac{71\cdot52+53}{10\left(52\cdot71+53\right)}=\dfrac{1}{10}\)
a) \(\dfrac{2727-101}{3.303+404}=\dfrac{2626}{909+404}=\dfrac{2626}{1313}=2\)
b) \(\dfrac{8.9-4.15}{12.7-180}=\dfrac{72-60}{84-180}=\dfrac{12}{-96}=\dfrac{-1}{8}\)
c) \(\dfrac{-19}{3^2.7.11}=\dfrac{-19}{9.7.11}=\dfrac{-19}{63.11}=\dfrac{-19}{693}\)
d) \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+120.6^9}{2^{12}.3^{12}-6^{11}}=\dfrac{2^2.6^{10}+20.6.6^9}{6^{12}-6^{11}}=\dfrac{4.6^{10}+20.6^{10}}{6^{11}\left(6-1\right)}=\dfrac{\left(4+20\right).6^{10}}{5.6^{11}}=\dfrac{24}{30}=\dfrac{4}{5}\)
a) Rút gọn:
\(\dfrac{-1}{6};\dfrac{1}{5};\dfrac{-1}{2}\)
Quy đồng:
\(\dfrac{-5}{30};\dfrac{6}{30};\dfrac{-15}{30}\)
b) Rút gọn:
\(\dfrac{-3}{5};\dfrac{-5}{8};\dfrac{-4}{9}\)
Quy đồng:
\(\dfrac{-216}{360};\dfrac{-225}{360};\dfrac{-160}{360}\)
\(\dfrac{48}{108}=\dfrac{48:12}{108:12}=\dfrac{4}{9}\\ \dfrac{80}{180}=\dfrac{80:20}{180:20}=\dfrac{4}{9}\\ \dfrac{60}{130}=\dfrac{60:10}{130:10}=\dfrac{6}{13}\\ \dfrac{135}{270}=\dfrac{135:135}{270:135}=\dfrac{1}{2}\)
=> Chọn 2 phân số: 48/108 và 80/180
\(71.52+\frac{53}{530}.71-180=71.52+0.1.71-180=71.\left(52+0.1\right)-180=71.\frac{521}{10}-180=\frac{36991}{10}-180\)
=35191/10
\(24=2^3\times3\\84=2^2\times3\times7\\ 180=2^2\times3^2\times5\\ =>UCLN\left(24;84;180\right)=2^2\times3=12\)
Ta có: \(24=2^3.3;84=2^2.3.7;180=2^2.3^2.5\)
\(\Rightarrow\text{Ư}CLN\left(24,84,180\right)=2^2.3=12\)
#)Giải :
= 71 . 52 + 0,1 . 71 - 180
= 71( 52 + 0,1 ) - 180
= 3699,1 - 180
= 3519,1
#~Will~be~Pens~#
Trả lời :
71.52 + 53/530 .71 - 180
= 71.52 + 0,1.71 - 180
= 71.( 52 + 0,1 ) - 180
= 71 . 52,1 - 180
= 3699,1 - 180
= 3519,1
~ Thiên Mã ~
\(84⋮a,180⋮a\Rightarrow a\inƯC\left(84,180\right)=\left\{1;2;3;4;6;12\right\}\)
Mà \(a>6\Rightarrow a=12\)
\(\dfrac{84}{-180}\)
\(=\dfrac{84:4}{-180:4}\)
\(=\dfrac{21}{-45}\)
\(=\dfrac{21:3}{-45:3}\)
\(=\dfrac{7}{-9}\)