quy đồng các phân số sau: 2^16x9^6/4^6x3^11;6^12/9^8x2^14;15^5x2^6x3^3/5^6x6^8
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a)\(\frac{2}{3}=\frac{2\times20}{3\times20}=\frac{40}{60}\)
\(\frac{1}{4}=\frac{1\times15}{4\times15}=\frac{15}{60}\)
\(\frac{3}{5}=\frac{3\times12}{5\times12}=\frac{36}{60}\)
b)\(\frac{1}{6}=\frac{1\times55}{6\times55}=\frac{55}{330}\)
\(\frac{2}{5}=\frac{2\times66}{5\times66}=\frac{132}{330}\)
\(\frac{3}{11}=\frac{3\times30}{11\times30}=\frac{90}{330}\)

a: 4/7=32/56
5/8=35/56
mà 32<35
nên 4/7<5/8
b: 6/13=12/26
11/26=11/26
mà 12>11
nên 6/13>11/26
c: 9/10=18/20
19/20=19/20
mà 18<19
nên 9/10<19/20
d: 8/5=64/40
11/8=55/40
mà 64>55
nên 8/5>11/8

a) \(\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}\); \(\frac{4}{5}=\frac{4\times3}{5\times3}=\frac{12}{15}\)
b) \(\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}\); \(\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}\)
Giữ nguyên phân số 11/12
c) \(\frac{7}{8}=\frac{7\times12}{8\times12}=\frac{84}{96}\) ; \(\frac{5}{12}=\frac{5\times8}{12\times8}=\frac{40}{96}\)
a) Mẫu số chung là 15
2/3 = 2x5/3x5 = 10/15
4/5 = 4x3/5x3=12/15
b) Mẫu số chung là 12
5/6 = 5x2/6x2 = 10/12
11/12 giữ nguyên
3/4= 3x3/4x3=9/12
c) Mẫu số chung là 24
7/8 = 7x3/8x3=21/24
5/12=5x2/12x2=10/24

Tử số chung là \(2^3.3^2.11=792\)
\(\dfrac{11}{13}=\dfrac{11x72}{13x72}=\dfrac{792}{936}\)
\(\dfrac{6}{8}=\dfrac{6x12x11}{8x12x11}=\dfrac{792}{1056}\)
\(\dfrac{4}{5}=\dfrac{4x18x11}{5x18x11}=\dfrac{792}{990}\)
\(\dfrac{8}{9}=\dfrac{8x9x11}{9x9x11}=\dfrac{792}{891}\)
\(\dfrac{9}{11}=\dfrac{9x8x11}{11x8x11}=\dfrac{792}{968}\)
11 = 1 \(\times\) 11; 6 = 2 \(\times\) 3; 8 = 2 \(\times\) 2 \(\times\) 2; 9 = 3 \(\times\) 3
Vậy tử số chung là: 11 \(\times\) 2 \(\times\)2 \(\times\) 2 \(\times\) 3 \(\times\) 3 = 792
\(\dfrac{11}{13}\) = \(\dfrac{11\times72}{13\times72}\) = \(\dfrac{792}{936}\)
\(\dfrac{6}{8}\) = \(\dfrac{6\times132}{8\times132}\) = \(\dfrac{792}{1056}\)
\(\dfrac{4}{5}\) = \(\dfrac{4\times198}{5\times198}\) = \(\dfrac{792}{990}\)
\(\dfrac{8}{9}\) = \(\dfrac{8\times99}{9\times99}\) = \(\dfrac{792}{891}\)
\(\dfrac{9}{11}\) = \(\dfrac{9\times88}{11\times88}\) = \(\dfrac{792}{968}\)

Ta có:
`11/10 = 1 + 1/10`
`7/6 = 1+1/6`
`10/9 = 1 + 1/9`
`9/8 = 1 + 1/8`
Ta có: `1/10 < 1/9 < 1/8 < 1/6`
nên `11/10 < 10/9 < 9/8 < 7/6`

a: 6/9 và 6/11
6/9=66/99
6/11=54/99
5/9 và 4/7
5/9=35/63
4/7=20/35
11/12 và 9/24
11/12=22/24
9/24=9/24
b: 13/21 và 4/7
13/21=13/21
4/7=12/21
6/15 và 2/5
6/15=2/5 2/5=2/5

xin lỗi nha mình có làm vào word để dán lên đây nhưng không được

bài3
1. \(\frac{4}{3}\)= \(\frac{4x4}{3x4}\)=\(\frac{20}{12}\)
\(\frac{3}{4}\)=\(\frac{3x3}{4x3}\)=\(\frac{9}{12}\)
2.\(\frac{5}{4}\)=\(\frac{5x6}{4x6}\)=\(\frac{30}{24}\)
\(\frac{5}{6}\)=\(\frac{5x4}{6x4}\)=\(\frac{20}{24}\)
3.\(\frac{3}{8}\)=\(\frac{3x6}{8x6}\)=\(\frac{18}{48}\)
\(\frac{1}{6}\)=\(\frac{1x6}{6x8}\)=\(\frac{6}{48}\)
4.\(\frac{2}{5}\)=\(\frac{2x7}{5x7}\)=\(\frac{14}{35}\)
\(\frac{4}{7}\)=\(\frac{4x5}{7x5}\)=\(\frac{20}{35}\)
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\(\dfrac{2^{16}\cdot9^6}{4^6\cdot3^{11}}=\dfrac{2^{16}\cdot3^{12}}{2^{12}\cdot3^{11}}=\dfrac{2^4}{3}=\dfrac{2^4\cdot3^3\cdot5}{3\cdot3^3\cdot5}=\dfrac{2160}{3^4\cdot5}\)
\(\dfrac{6^{12}}{9^8\cdot2^{14}}=\dfrac{2^{12}\cdot3^{12}}{2^{14}\cdot3^{16}}=\dfrac{2^2}{3^4}=\dfrac{2^2\cdot5}{3^4\cdot5}=\dfrac{20}{3^4\cdot5}\)
\(\dfrac{15^5\cdot2^6\cdot3^3}{5^6\cdot6^8}=\dfrac{3^5\cdot5^5\cdot2^6\cdot3^3}{5^6\cdot2^8\cdot3^8}=\dfrac{2^6}{5}=\dfrac{2^6\cdot3^4}{5\cdot3^4}\)