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\(\dfrac{14}{8}:\dfrac{7}{12}-\dfrac{3}{8}:\dfrac{9}{5}\\ =\dfrac{7}{4}:\dfrac{7}{12}-\dfrac{3}{8}:\dfrac{9}{5}\\ =\dfrac{7}{4}\times\dfrac{12}{7}-\dfrac{3}{8}\times\dfrac{5}{9}\\ =\dfrac{12}{4}-\dfrac{1\times5}{8\times3}\\ =3-\dfrac{5}{24}\\ =\dfrac{3\times24-5}{24}\\ =\dfrac{72-5}{24}\\ =\dfrac{67}{24}\)
a: \(=\dfrac{48-45}{54}\cdot\dfrac{9}{4}=\dfrac{3}{54}\cdot\dfrac{9}{4}=\dfrac{27}{216}=\dfrac{1}{8}\)
b: \(=\dfrac{6}{5}+1=\dfrac{11}{5}\)
c: \(=\dfrac{7\cdot28\cdot15}{9\cdot25\cdot14}=\dfrac{1}{2}\cdot\dfrac{28}{25}\cdot\dfrac{5}{3}=\dfrac{140}{150}=\dfrac{14}{15}\)
a) 8 × 5 × 9 = (8 × 5) × 9 = 40 × 9 = 360
b) 6 × 7 × 5 = (6 × 5) × 7= 30 × 7= 210
c) 6 × 4 × 25 = 6 × (4 × 25) = 6 × 100= 600
\(\dfrac{5}{6}=\dfrac{15}{18}\)
\(\dfrac{9}{11}=\dfrac{27}{33}\)
\(\dfrac{5}{8}=\dfrac{25}{40}\)
\(\dfrac{12}{16}=\dfrac{36}{48}\)
\(\dfrac{8}{12}=\dfrac{40}{60}\)
`a, 36 + 14 + 9`
`= 50 + 9`
`= 59`
`b, 51 + 12 + 18`
`=51 + 30`
`= 81`
`c, 65 + 9 + 5`
`= 70 + 9`
`= 79`
`d, 31 + 26 + 69`
`= 100 + 26`
`= 126`
\(\frac{12}{25}:\frac{9}{5}=\frac{12}{25}\times\frac{5}{9}=\frac{12\times5}{25\times9}=\frac{12\times5}{5\times5\times9}=\frac{12}{45}\).
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