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![](https://rs.olm.vn/images/avt/0.png?1311)
a)MSC: 63. Ta có: \(\frac{-4}{7}\)=\(\frac{-4.9}{7.9}\)=\(\frac{-36}{63}\) ; \(\frac{8}{9}\)=\(\frac{8.7}{9.7}\)=\(\frac{56}{63}\) ; \(\frac{-10}{21}\)=\(\frac{-10.3}{21.3}\)=\(\frac{-30}{63}\)
b) \(\frac{5}{2^2.3}\)=\(\frac{5}{12}\);\(\frac{7}{2^3.11}\)=\(\frac{7}{88}\)
MSC: 264. Ta có: \(\frac{5}{12}\)=\(\frac{5.22}{12.22}\)=\(\frac{110}{264}\) ; \(\frac{7}{88}\)=\(\frac{7.3}{88.3}\)=\(\frac{21}{264}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
\(\frac{5}{2^2.3}=\frac{5.2.11}{2^2.3.2.11}=\frac{110}{264}\)
\(\frac{7}{2^3.11}=\frac{7.3}{2^3.11.3}=\frac{21}{264}\)
Ta có:
\(\frac{5}{2^{2.}.3}=\frac{5.2.11}{2^2.3.2.11}=\frac{110}{264}\)
\(\frac{7}{2^3.11}=\frac{7.3}{2^3.11.3}=\frac{21}{264}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1. a) Ta có BCNN(12, 15) = 60 nên ta lấy mẫu chung của hai phân số là 60.
Thừa số phụ:
60:12 =5; 60:15=4
Ta được:
\(\frac{5}{{12}} = \frac{{5.5}}{{12.5}} = \frac{{25}}{{60}}\)
\(\frac{7}{{15}} = \frac{{7.4}}{{15.4}} = \frac{{28}}{{60}}\)
b) Ta có BCNN(7, 9, 12) = 252 nên ta lấy mẫu chung của ba phân số là 252.
Thừa số phụ:
252:7 = 36; 252:9 = 28; 252:12 = 21
Ta được:
\(\frac{2}{7} = \frac{{2.36}}{{7.36}} = \frac{{72}}{{252}}\)
\(\frac{4}{9} = \frac{{4.28}}{{9.28}} = \frac{{112}}{{252}}\)
\(\frac{7}{{12}} = \frac{{7.21}}{{12.21}} = \frac{{147}}{{252}}\)
2. a) Ta có BCNN(8, 24) = 24 nên:
\(\frac{3}{8} + \frac{5}{{24}} = \frac{{3.3}}{{8.3}} + \frac{5}{{24}} = \frac{9}{{24}} + \frac{5}{{24}} = \frac{{14}}{{24}} = \frac{7}{{12}}\)
b) Ta có BCNN(12, 16) = 48 nên:
\(\frac{7}{{16}} - \frac{5}{{12}} = \frac{{7.3}}{{16.3}} - \frac{{5.4}}{{12.4}} = \frac{{21}}{{48}} - \frac{{20}}{{48}} = \frac{1}{{48}}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{4}{7};\frac{13}{9};\frac{8}{21}\)
MSC của 21 ; 9 ; 7 = 63
\(\frac{4}{7}=\frac{4.9}{7.9}=\frac{36}{63}\)
\(\frac{13}{9}=\frac{13.7}{9.7}=\frac{91}{63}\)
\(\frac{8}{21}=\frac{8.3}{21.3}=\frac{24}{63}\)
\(\frac{4}{7};\frac{13}{9};\frac{8}{21}\)
ta có:
\(\frac{4}{7}=\frac{4.9}{7.9}=\frac{46}{63}\)
tương tự làm \(\frac{13}{9}\)và \(\frac{8}{21}\)
(Mẫu số chung là 63 nhé)
b, \(\frac{1}{-36}=\frac{-1}{36}\)
(mẫu số chung là 180)
c,
\(3=\frac{3}{1}=\frac{3.23}{1.23}=\frac{69}{23}\)
\(-1=\frac{-1}{1}=\frac{\left(-1\right).23}{1.23}=\frac{-23}{23}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a.\frac{-3}{5}< \frac{1}{-2}< \frac{-5}{-12}< \frac{2}{3}< \frac{3}{2}\)
\(b.\frac{6}{-5}< \frac{7}{-6}< \frac{9}{-10}< \frac{-2}{-5}< \frac{3}{4}\)
\(c.\frac{4}{-9}< \frac{-7}{21}< \frac{4}{-15}< \frac{8}{12}< \frac{24}{15}\)
Hok tốt :D
![](https://rs.olm.vn/images/avt/0.png?1311)
a)\(\dfrac{-36}{63};\dfrac{56}{63};\dfrac{-30}{63}\)
b)\(\dfrac{110}{264};\dfrac{21}{264}\)