Rút gọn phân số
C= \(\frac{11\cdot12+22\cdot24+44\cdot48}{33\cdot36+66\cdot72+132\cdot144}\)
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a) \(-\frac{11}{18}\)
b)\(-\frac{3}{2}\)
c)\(\frac{49}{78}\)
d)\(\frac{23}{11}\)
e) \(\frac{11.12+22.24+44.48}{33.36+66.72+132.144}\)
\(=\frac{11.12+22.24+44.48}{11.3.12.3+22.3.3.24+44.3.348}\)
\(=\frac{11.12+22.24+44.48}{\left(1.12+22.24+44.48\right).9}\)
\(=\frac{1}{9}\)
\(A=\frac{8056}{2012.16-1982}\)= \(\frac{2014.4}{2012.15+2012-1982}\)=\(\frac{2014.4}{2012.15+30}\)=\(\frac{2014.4}{2012.15+2.15}\)=\(\frac{2014.4}{15.\left(2012+2\right)}=\frac{2014.4}{15.2014}=\frac{4}{15}\)
B = \(\frac{1.2.6+2.4.12+4.8.24+7.14.42}{1.6.9+2.12.18+4.24.36+7.42.63}\)
= \(\frac{1.2.3.2+2.2.2.12+4.4.2.24+7.7.2.42}{1.2.3.9+2.12.2.9+4.24.4.9+7.42.7.9}\)
= \(\frac{2\left(1.2.3+2.2.12+4.4.24+7.7.42\right)}{9\left(1.2.3+2.2.12+4.4.24+7.7.42\right)}\)
= \(\frac{2}{9}\)
Ta có: \(\frac{4}{15}=\frac{4.3}{15.3}=\frac{12}{45};\frac{2}{9}=\frac{2.5}{9.5}=\frac{10}{45}\)
Vì \(\frac{12}{45}>\frac{10}{45}\Rightarrow\frac{4}{15}>\frac{2}{9}\Rightarrow A>B\)
Vậy A > B
\(A=\frac{132639}{173451}\)
\(A=\frac{132639:10203}{173451:10203}\)
\(A=\frac{13}{17}\)
\(B=\frac{16515}{20919}\)
\(B=\frac{16515:1101}{20919:1101}\)
\(B=\frac{15}{19}\)
\(A=\dfrac{8056}{2012.16-1982}\)
\(A=\dfrac{8056}{32192-1982}\)
\(A=\dfrac{8056}{30210}=\dfrac{12}{45}\)
\(B=\dfrac{1.2.6+2.4.12+4.8.24+7.14.42}{1.6.9+2.12.18+4.24.36+7.42.63}\)
\(B=\dfrac{12+96+768+4116}{54+432+3456+18522}\)
\(B=\dfrac{4992}{22464}=\dfrac{10}{45}\)
Vậy: \(\dfrac{12}{45}>\dfrac{10}{45}\Rightarrow A>B\)
\(\frac{1\cdot3\cdot5+2\cdot6\cdot10+3\cdot9\cdot15}{3\cdot5\cdot12+6\cdot10\cdot24+9\cdot15\cdot36}=\frac{1+1+1}{12+12+12}=\frac{3\cdot1}{3\cdot12}=\frac{1}{12}\)
em muốn nhanh thì lần sau em tách câu hỏi ra chứ đừng hỏi nhiều trong một câu em nhé
\(\dfrac{12}{48}\) = \(\dfrac{12:12}{48:12}=\) \(\dfrac{1}{2}\) \(\dfrac{49}{140}\) = \(\dfrac{49:7}{140:7}\) = \(\dfrac{7}{20}\)
\(\dfrac{125}{1000}\) = \(\dfrac{125:125}{1000:125}\) = \(\dfrac{1}{8}\) \(\dfrac{352}{253}\) = \(\dfrac{352:11}{253:11}\)= \(\dfrac{32}{23}\)
\(\dfrac{75}{300}=\) \(\dfrac{75:75}{300:75}\) = \(\dfrac{1}{4}\) \(\dfrac{561}{132}\) = \(\dfrac{561:33}{132:33}\) = \(\dfrac{17}{4}\)
11x11=121
22x22=484
33x33=1089
44x44=1936
55x55=3025
66x66=4356
k mk nhé,1000000% đúng
cầm nhật phương
\(C=\frac{11\cdot12+22\cdot24+44\cdot48}{33\cdot36+66\cdot72+132\cdot144}=\frac{12\left(11+44+132\right)}{12\left(99+396+1584\right)}=\frac{187}{2079}\)