quy đồng các phân số sau
a 15/8;7/21;19/6
b, 8/11;9/7;5/4
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a: 5/14=15/42
4/21=8/42
b: 4/5=48/60
7/12=35/60
8/15=32/60
a: -5/5=-1=-7/7
8/7=8/7
b: -3/15=-1/5=-6/30
5/6=25/30
c: -34/136=-1/4=-9/36
-12/108=-1/9=-4/36
26/-156=-1/6=-6/36
a: \(\dfrac{11}{42}=\dfrac{11\cdot1}{42\cdot1}=\dfrac{11}{42}\)
\(\dfrac{5}{6}=\dfrac{5\cdot7}{6\cdot7}=\dfrac{35}{42}\)
b: \(\dfrac{40}{7}=\dfrac{40\cdot4}{7\cdot4}=\dfrac{160}{28}\)
\(\dfrac{10}{28}=\dfrac{10\cdot1}{28\cdot1}=\dfrac{10}{28}\)
c: \(\dfrac{4}{15}=\dfrac{4\cdot4}{15\cdot4}=\dfrac{16}{60}\)
\(\dfrac{14}{60}=\dfrac{14\cdot1}{60\cdot1}=\dfrac{14}{60}\)
a)\(\dfrac{11}{42}=\dfrac{35}{42}\)
b) \(\dfrac{160}{28}=\dfrac{10}{28}\)
c) \(\dfrac{16}{60}=\dfrac{14}{60}\)
`MSC: 756`
Có: `5/21=[5.36]/[21.36]=180/756`
`3/28=[3.27]/[28.27]=81/756`
`45/[-108]=[-45.7]/[108.7]=[-315]/756`
Quy đồng \(\dfrac{5}{21};\dfrac{3}{28};\dfrac{45}{-108}\)
Chuyển dấu \(\dfrac{45}{-108}=\dfrac{45
.
\left(-1\right)}{\left(-108\right)
.
\left(-1\right)}=-\dfrac{45}{108}\)
Ta có MSC(21,28,108): 756
\(\dfrac{5}{21}=\dfrac{5
.
36}{21
.
36}=\dfrac{180}{756}\) ; \(\dfrac{3}{28}=\dfrac{3
.
27}{28
.
27}=\dfrac{81}{756}\) ; \(-\dfrac{45}{108}=\dfrac{\left(-45\right)
.
7}{108
.
7}=-\dfrac{315}{756}\)
Quy đồng các phân số sau
a)−8/31;−789/3131
b)11/2^3.3^4.5^2;29/2^2.2^4.5^3
c)1/n và 1/n+1 (n thuộc N)
a) \(\dfrac{-8}{31}=\dfrac{-8\cdot101}{31\cdot101}=\dfrac{-808}{3131}\)
\(\dfrac{-789}{3131}=\dfrac{-789}{3131}\)
c) \(\dfrac{1}{n}=\dfrac{n+1}{n\left(n+1\right)}\)
\(\dfrac{1}{n+1}=\dfrac{n}{n\left(n+1\right)}\)
Quy đồng các phân số sau
a)−8/31;−789/3131
b)11/2^3.3^4.5^2;29/2^2.2^4.5^3
c)1/n và 1/n+1 (n thuộc N)
a) \(-\dfrac{8}{31}=\dfrac{-8\cdot101}{31\cdot101}=\dfrac{-808}{3131}\)
\(\dfrac{-789}{3131}=\dfrac{-789}{3131}\)
c) \(\dfrac{1}{n}=\dfrac{n+1}{n\left(n+1\right)}\)
\(\dfrac{1}{n+1}=\dfrac{n}{n\left(n+1\right)}\)
Quy đồng các phân số sau
a)−8/31;−789/3131
b)11/2^3.3^4.5^2;29/2^2.2^4.5^3
c)1/n và 1/n+1 (n thuộc N)
a) \(-\dfrac{8}{31}=\dfrac{-8\cdot101}{31\cdot101}=\dfrac{-808}{3131}\)
\(\dfrac{-789}{3131}=\dfrac{-789}{3131}\)
b) \(\dfrac{11}{2^3\cdot3^4\cdot4^5}=\dfrac{11\cdot2^3\cdot5^3}{2^6\cdot3^4\cdot4^5\cdot5^3}=\dfrac{11000}{2^6\cdot3^4\cdot4^5\cdot5^3}\)
\(\dfrac{29}{2^2\cdot2^4\cdot5^3}=\dfrac{29\cdot3^4\cdot4^5}{2^6\cdot3^4\cdot4^5\cdot5^3}=\dfrac{2405376}{2^6\cdot3^4\cdot4^5\cdot5^3}\)
c) \(\dfrac{1}{n}=\dfrac{n+1}{n\left(n+1\right)}\)
\(\dfrac{1}{n+1}=\dfrac{n}{n\left(n+1\right)}\)
Bài 1:
\(\dfrac{-5}{18}=\dfrac{-20}{72};\dfrac{7}{-24}=\dfrac{-21}{72}.\)
\(\dfrac{-15}{-40}=\dfrac{3}{8}=\dfrac{9}{24};\dfrac{24}{-72}=\dfrac{-1}{3}=\dfrac{-8}{24}.\)
Bài 3:
a) \(\dfrac{2}{3}h=\dfrac{8}{12}h;\dfrac{3}{4}h=\dfrac{9}{12}h.\Rightarrow\dfrac{2}{3}h< \dfrac{3}{4}h.\)
b) \(\dfrac{4}{5}km/h=\dfrac{8}{10}km/h;\dfrac{9}{10}km/h.\Rightarrow\dfrac{4}{5}km/h< \dfrac{9}{10}km/h.\)
a, 45/24 ; 8/24 ; 76/24
b,
\(\frac{15}{8};\frac{7}{21};\frac{19}{6_{ }}\)
Mẫu số chung là 168
\(\frac{15}{8}=\frac{15x21}{8x21}=\frac{315}{168}\) \(\frac{7}{21}=\frac{7x8}{21x8}=\frac{56}{168}\)
\(\frac{19}{6}=\frac{19x28}{6x28}=\frac{532}{168}\)
b) \(\frac{8}{11};\frac{9}{7};\frac{5}{4}\)
\(\frac{8}{11}=\frac{8x7x4}{11x7x4}=\frac{224}{308}\) \(\frac{9}{7}=\frac{9x11x4}{7x11x4}=\frac{396}{308}\)
\(\frac{5}{4}=\frac{5x11x7}{4x11x7}=\frac{385}{308}\)