I.Rút gọn rồi quy đồng mẫu các phân số sau
a, \(\dfrac{25.9-25.17}{\left(-8\right).80-8.10}\) ; \(\dfrac{48.12-48.15}{\left(-3\right).270-3.30}\) VÀ \(\dfrac{2^5.3}{600}\)
B, \(\dfrac{2^5.7+25}{25.5^2-2^5.3}\) VÀ\(\dfrac{3^4.5-3^6}{3^4.13+3^4}\)
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((25.9 - 25.17))(( - 8.80 - 8.10)) ) và ((48.12 - 48.15))(( - 3.270 - 3.30)) ). hãy so sánh 2 phân số trên
\(\frac{-35}{280}=\frac{\left(-35\right):35}{280:35}=\frac{-1}{8}\)
\(\frac{24}{72}=\frac{24:24}{72:24}=\frac{1}{3}\)
\(\frac{15}{-105}=\frac{-15}{105}=\frac{\left(-15\right):15}{105:15}=\frac{-1}{7}\)
\(\frac{36}{240}=\frac{36:12}{240:12}=\frac{3}{20}\)
\(\frac{125}{1000}=\frac{125:125}{1000:125}=\frac{1}{8}\)
\(\frac{198}{126}=\frac{198:18}{126:18}=\frac{11}{7}\)
a)2.3.5.13/26.35
=2.3.5.13/2.13.5.7
=3/7
b)18.6-18/-36.(-35)
=18.6-18/-(36.25)=18(6-1)/-(36.35)
=18.5/-(36.35)=2.3.3.5/-(2.2.3.3.5.7)
=-1/14
c)6.4+6.7/6.5+12=6.4+6.7/6.5+6.2
=6(4+7)/6(5+2)
=11/10
d)25.9-25.17/-8.80-8.10=25(9-17)/8(-80-10)
=25.(-8)/8(-90)
=5/18
e) 34.5-36/34.13-34
=34(5-32)/34(13-1)
=5-32/13-1=-1/3
\(\dfrac{25.9-25.17}{-8.80-8.10}=\dfrac{-200}{-720}=\dfrac{5}{18}\)
\(\dfrac{48.12-48.15}{-3.270-3.30}=\dfrac{-144}{-900}=\dfrac{4}{25}\)
a, Quy đồng
\(\dfrac{5}{18}=\dfrac{5\times25}{18\times25}=\dfrac{125}{450}\)
\(\dfrac{4}{25}=\dfrac{4.18}{25.18}=\dfrac{72}{450}\)
+)
\(\frac{1}{2}=\frac{6}{12};\frac{1}{3}=\frac{4}{12};-\frac{1}{12}\)
+)
\(\frac{9}{30}=\frac{3}{10}=\frac{12}{40};\frac{98}{80}=\frac{49}{40}\)
1/2=6/12 1/3=4/12 -1/12=-1/12
9/30=3/10 98/80=49/40
3/10=12/40 49/40=49/40
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: \(\dfrac{25\cdot9-25\cdot17}{-8\cdot80-8\cdot10}=\dfrac{25\cdot\left(-8\right)}{\left(-8\right)\cdot\left(80+10\right)}=\dfrac{25}{90}=\dfrac{5}{18}=\dfrac{250}{900}\)
\(\dfrac{48\cdot12-48\cdot15}{\left(-3\right)\cdot\left(270+30\right)}=\dfrac{48}{300}=\dfrac{8}{50}=\dfrac{144}{900}\)
\(\dfrac{2^5\cdot3}{600}=\dfrac{96}{600}=\dfrac{144}{900}\)
b: \(\dfrac{2^5\cdot7+25}{25\cdot5^2-2^5\cdot3}=\dfrac{32\cdot7+25}{25\cdot25-32\cdot3}=\dfrac{249}{529}=\dfrac{1743}{7\cdot529}\)
\(\dfrac{3^4\cdot5-3^6}{3^4\cdot13+3^4}=\dfrac{3^4\left(5-9\right)}{3^4\left(13+1\right)}=\dfrac{-4}{14}=\dfrac{-2}{7}=\dfrac{-1058}{7\cdot529}\)