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a)1/2=6/12;2/3=8/12;5/6=10/12;giữ nguyên phan số 7/12
b)5/6=60/72;4/9=32/72;7/24=21/72
c)3/4=45/60;5/12=25/60;2/3=40/60;7/15=28/60
\(\frac{5}{3}=\frac{5\cdot4}{3\cdot4}=\frac{20}{12};\frac{1}{4}=\frac{1\cdot3}{4\cdot3}=\frac{3}{12}\)
\(\frac{3}{8}=\frac{3\cdot3}{8\cdot3}=\frac{9}{24};\frac{7}{24}\)
\(\frac{1}{2}=\frac{1\cdot15}{2\cdot15}=\frac{15}{30};\frac{2}{3}=\frac{2\cdot10}{3\cdot10}=\frac{20}{30};\frac{3}{5}=\frac{3\cdot6}{5\cdot6}=\frac{18}{30}\)
a) \(\dfrac{3}{4}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}\\ \dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)
b) \(\dfrac{5}{12}=\dfrac{5\cdot3}{12\cdot3}=\dfrac{15}{36}\\ \dfrac{11}{36}=\dfrac{11}{36}\)
c) \(\dfrac{2}{3}=\dfrac{2\cdot4\cdot5}{3\cdot4\cdot5}=\dfrac{40}{60}\\ \dfrac{3}{4}=\dfrac{3\cdot3\cdot5}{4\cdot3\cdot5}=\dfrac{45}{60}\\ \dfrac{4}{5}=\dfrac{4\cdot3\cdot4}{5\cdot3\cdot4}=\dfrac{48}{60}\)
a) \(\dfrac{3}{4}\) và \(\dfrac{2}{5}\)
Mẫu số chung: 20
\(\dfrac{3}{4}=\dfrac{3.5}{4.5}=\dfrac{15}{20}\)
\(\dfrac{2}{5}=\dfrac{2.4}{5.4}=\dfrac{8}{20}\)
b) \(\dfrac{5}{12}\) và \(\dfrac{11}{36}\)
Mẫu số chung: 36
\(\dfrac{5}{12}=\dfrac{5.3}{12.3}=\dfrac{15}{36}\)
c) \(\dfrac{2}{3};\dfrac{3}{4}\) và \(\dfrac{4}{5}\)
Mẫu số chung: 60
\(\dfrac{2}{3}=\dfrac{2.20}{3.20}=\dfrac{40}{60}\\ \dfrac{3}{4}=\dfrac{3.15}{4.15}=\dfrac{45}{60}\\ \dfrac{4}{5}=\dfrac{4.12}{5.12}=\dfrac{48}{60}\)
Bài 2:
a, \(\dfrac{5}{23}\) \(\times\) \(\dfrac{17}{26}\) + \(\dfrac{5}{23}\) \(\times\) \(\dfrac{9}{26}\)
= \(\dfrac{5}{23}\) \(\times\) ( \(\dfrac{17}{26}\) + \(\dfrac{9}{26}\))
= \(\dfrac{5}{23}\) \(\times\) \(\dfrac{26}{26}\)
= \(\dfrac{5}{23}\)
b, \(\dfrac{3}{4}\) \(\times\) \(\dfrac{7}{9}\) + \(\dfrac{7}{4}\) \(\times\) \(\dfrac{3}{9}\)
= \(\dfrac{7}{12}\) + \(\dfrac{7}{12}\)
= \(\dfrac{14}{12}\)
= \(\dfrac{7}{6}\)
Bài 1:
Quy đồng mẫu số các phân số:
a; \(\dfrac{2}{5}\) và \(\dfrac{3}{4}\); \(\dfrac{2}{5}\) = \(\dfrac{2\times4}{5\times4}\) = \(\dfrac{8}{20}\); \(\dfrac{3}{4}\) = \(\dfrac{3\times5}{4\times5}\) = \(\dfrac{15}{20}\)
b; \(\dfrac{2}{7}\) và \(\dfrac{5}{14}\); \(\dfrac{2}{7}\) = \(\dfrac{2\times2}{7\times2}\) = \(\dfrac{4}{14}\)
c; \(\dfrac{4}{9}\) và \(\dfrac{5}{27}\); \(\dfrac{4}{9}\) = \(\dfrac{4\times3}{9\times3}\) = \(\dfrac{12}{27}\);
d; \(\dfrac{2}{3};\dfrac{4}{5}\);\(\dfrac{5}{6}\)
\(\dfrac{2}{3}\) = \(\dfrac{2\times10}{3\times10}\) = \(\dfrac{20}{30}\); \(\dfrac{4}{5}\) = \(\dfrac{4\times6}{5\times6}\) = \(\dfrac{24}{30}\); \(\dfrac{5\times5}{6\times5}\) = \(\dfrac{25}{30}\)