Rút gọn rồi quy đồng mẫu các phân số:
a, \(\frac{{ - 15}}{{90}};\frac{{120}}{{600}};\frac{{ - 75}}{{150}}\)
b,\(\frac{{54}}{{ - 90}};\frac{{ - 180}}{{288}};\frac{{60}}{{ - 135}}\)
Câu a:
Rút gọn \(\frac{{ - 15}}{{90}} = - \frac{1}{6};\frac{{120}}{{600}} = \frac{1}{5};\frac{{ - 75}}{{150}} = \frac{{ - 1}}{2}\)
BCNN (6,5,2) =30
Do đó: \[\begin{array}{l}\frac{{ - 15}}{{90}} = - \frac{1}{6} = - \frac{{1.5}}{{6.5}} = \frac{{ - 5}}{{30}}\\\frac{{120}}{{600}} = \frac{1}{5} = \frac{{1.6}}{{5.6}} = \frac{6}{{30}}\\\frac{{ - 75}}{{150}} = \frac{{ - 1}}{2} = \frac{{ - 1.15}}{{2.15}} = \frac{{ - 15}}{{30}}\end{array}\]
Câu b:
Rút gọn \(\frac{{54}}{{ - 90}} = \frac{{ - 3}}{5};\frac{{ - 180}}{{288}} = \frac{{ - 5}}{8};\frac{{60}}{{ - 135}} = \frac{4}{{ - 9}}\)
BCNN (5,8,9) =360
Do đó \(\begin{array}{l}\frac{{54}}{{ - 90}} = \frac{{ - 3}}{5} = \frac{{( - 3).72}}{{5.72}} = \frac{{ - 216}}{{360}}\\\frac{{ - 180}}{{288}} = \frac{{ - 5}}{8} = \frac{{( - 5).45}}{{8.45}} = \frac{{ - 225}}{{360}}\\\frac{{60}}{{ - 135}} = \frac{{ - 4}}{9} = \frac{{( - 4).40}}{{9.40}} = \frac{{ - 160}}{{360}}\end{array}\)
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