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Ta có: \(\frac{{12}}{{ - 24}} = \frac{{12:12}}{{ - 24:12}} = \frac{1}{{ - 2}}\)
\(\frac{{ - 39}}{{75}} = \frac{{ - 39:3}}{{75:3}} = \frac{{ - 13}}{{25}}\)
\(\frac{{132}}{{ - 264}} = \frac{{132:132}}{{ - 264:132}} = \frac{1}{{ - 2}}\).
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a) \(-\frac{11}{18}\)
b)\(-\frac{3}{2}\)
c)\(\frac{49}{78}\)
d)\(\frac{23}{11}\)
e) \(\frac{11.12+22.24+44.48}{33.36+66.72+132.144}\)
\(=\frac{11.12+22.24+44.48}{11.3.12.3+22.3.3.24+44.3.348}\)
\(=\frac{11.12+22.24+44.48}{\left(1.12+22.24+44.48\right).9}\)
\(=\frac{1}{9}\)
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c ) − 5 15 = ( − 5 ) : 5 15 : 5 = − 1 2 d ) − 12 − 24 = ( − 12 ) : ( − 12 ) ( − 24 ) : ( − 12 ) = 1 2
e ) 54 270 = 54 : 54 270 : 54 = 1 5 f ) − 12 − 28 = ( − 12 ) : ( − 4 ) ( − 28 ) : ( − 4 ) = 3 7
g ) − 18 − 27 = ( − 18 ) : ( − 9 ) ( − 27 ) : ( − 9 ) = 2 3 h ) 45 − 24 = 45 : ( − 3 ) ( − 24 ) : ( − 3 ) = − 15 8
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\(A=\frac{132639}{173451}\)
\(A=\frac{132639:10203}{173451:10203}\)
\(A=\frac{13}{17}\)
\(B=\frac{16515}{20919}\)
\(B=\frac{16515:1101}{20919:1101}\)
\(B=\frac{15}{19}\)
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Hướng dẫn: Chia cả tử và mẫu cho UCLN của chúng:
ƯCLN(-25 ,-75) = 25. Do đó:
18\24 = 18: 6 / 24: 6 = 3/4
132\144 = 132: 12? 144: 12= 11/12
36\12 = 36: 12/ 12:12 = 3/1= 3
25\75 = 25:25/75:25 = 1/3
\(\dfrac{18}{24}=\dfrac{18\div6}{24\div6}=\dfrac{3}{4}\)
\(\dfrac{132}{144}=\dfrac{132\div4}{144\div4}=\dfrac{33}{36}\)
\(\dfrac{36}{12}=\dfrac{36\div12}{12\div12}=\dfrac{3}{1}=3\)
\(\dfrac{25}{75}=\dfrac{25\div25}{75\div25}=\dfrac{1}{3}\)