a)36/48>12/48

=>6/8>3/12

b)135/225<180/225

=>15/25<36/45

c)1575/2835>1323/2835

=>15/27>49/105

Chúc e học tốt

a) mẫu số chung: 4

\(\dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4};\dfrac{3}{12}=\dfrac{3:3}{12:3}=\dfrac{1}{4}\)

vì \(\dfrac{3}{4}>\dfrac{1}{4}\)nên \(\dfrac{6}{8}>\dfrac{3}{12}\)

b) mẫu số chung: 5

\(\dfrac{15}{25}=\dfrac{15:5}{25:5}=\dfrac{3}{5};\dfrac{36}{45}=\dfrac{36:9}{45:9}=\dfrac{4}{5}\)

vì\(\dfrac{3}{5}< \dfrac{4}{5}\)nên \(\dfrac{15}{25}< \dfrac{36}{45}\)

Câu 3:

a) \(\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}\)

\(\dfrac{-16}{20}=\dfrac{-16:4}{20:4}=\dfrac{-4}{5}\)

b) \(\dfrac{21}{105}=\dfrac{21:21}{105:21}=\dfrac{1}{5}\)

\(\dfrac{35}{150}=\dfrac{35:5}{150:5}=\dfrac{7}{30}\)

Câu 4: 

a) \(\dfrac{3}{10}+\dfrac{5}{10}=\dfrac{3+5}{10}=\dfrac{8}{10}=\dfrac{4}{5}\)

b) Ta có: \(\left(-27\right)\cdot36+64\cdot\left(-27\right)+23\cdot\left(-100\right)\)

\(=\left(-27\right)\cdot\left(64+36\right)+23\cdot\left(-100\right)\)

\(=-27\cdot100-23\cdot100\)

\(=100\left(-27-23\right)\)

\(=-50\cdot100=-5000\)

c) \(\dfrac{5}{8}+\dfrac{3}{12}=\dfrac{15}{24}+\dfrac{6}{24}=\dfrac{21}{24}=\dfrac{7}{8}\)

d) Ta có: \(\dfrac{-2}{17}+\dfrac{3}{19}+\dfrac{-15}{17}+\dfrac{16}{19}+\dfrac{5}{6}\)

\(=\left(-\dfrac{2}{17}+\dfrac{-15}{17}\right)+\left(\dfrac{3}{19}+\dfrac{16}{19}\right)+\dfrac{5}{6}\)

\(=-1+1+\dfrac{5}{6}\)

\(=\dfrac{5}{6}\)

\(a.-\dfrac{8}{12}=\dfrac{-2\cdot4}{4\cdot3}=-\dfrac{2}{3}\)

\(b.\dfrac{15}{-60}=\dfrac{15}{15\cdot-4}-\dfrac{1}{4}\)

\(c.\dfrac{-16}{-72}=\dfrac{-2\cdot8}{-9\cdot8}=\dfrac{2}{9}\)

\(d.\dfrac{35}{14\cdot15}=\dfrac{7\cdot5}{7\cdot2\cdot5\cdot3}=\dfrac{1}{6}\)

\(\dfrac{8}{12}\)=\(\dfrac{2}{31}\)

\(\dfrac{15}{-60}\)=\(\dfrac{-1}{4}\)

\(\dfrac{-16}{72}\)=\(\dfrac{-2}{9}\)

\(\dfrac{35}{14.15}=\dfrac{35}{210}=\dfrac{1}{6}\)

\(a)\) \(\dfrac{1}{2}\)\(,\) \(\dfrac{1}{8},\) \(\dfrac{1}{7}.\)

b,(phân số \(\dfrac{7}{8}\) là 1 phân số tối giản)

\(\dfrac{3}{4}\) ; \(\dfrac{1}{7}\)

Phân số tối giản: \(\dfrac{7}{8}\) vì cả tử và mẫu không cùng chia hết cho số tự nhiên nào lớn hơn 1

\(\dfrac{35}{210}=\dfrac{35:35}{210:35}=\dfrac{1}{6}\)

\(\dfrac{34}{68}=\dfrac{34:34}{68:34}=\dfrac{1}{2}\)

\(\dfrac{64}{720}=\dfrac{64:8}{720:8}=\dfrac{8}{90}\)

Lời giải:
$\frac{35}{210}=\frac{35}{35\times 6}=\frac{1}{6}$

$\frac{34}{68}=\frac{34}{34\times 2}=\frac{1}{2}$
$\frac{64}{720}=\frac{8\times 8}{8\times 90}=\frac{8}{90}=\frac{4\times 2}{2\times 45}=\frac{4}{45}$

a)1/6
b)1/2
c)4/45

\(\frac{16}{48}=\frac{16:16}{48:16}=\frac{1}{3}\);\(\frac{14}{35}=\frac{14:7}{35:7}=\frac{2}{5}\)

\(\frac{1}{3}=\frac{1\cdot5}{3\cdot5}=\frac{5}{15}\);    \(\frac{2}{5}=\frac{2\cdot3}{5\cdot3}=\frac{6}{15}\)

TICK và theo dõi mik nhá!

Bài 1 :

a, 169/182 = 169:13 / 182:13 = 13/14

b, 2323/4242 = 2323:101/4242:101 = 23/42

c, 123123/456456 = 123123:3003 / 456456:3003 = 41/152

d,X

Bài 2 :

a, 16/36 = 4/9

20/45 = 4/9

28/63 = 4/9

⇔ 16/36 = 20/45 = 28/63

b,45/65 = 9/13

48/52 = 12/13

2121/1313 = 21/13

⇔ 45/65 < 48/52 < 2121/1313

Chúc bạn học tốt

a) 169/ 182 = 13/14

b)2323/4242 = 23/42

c)123123/456456 = 41/152

d)Chịu

1.

\(\frac{20}{400}=\frac{1}{20}\)    ;     \(\frac{333}{555}=\frac{3}{5}\)    ;      \(\frac{1212}{2323}=\frac{12}{23}\)     ;      \(\frac{123123}{102102}=\frac{123}{102}\)

2.  Ta có :

A . 11/24 = 33/72 .

B . 15/25 = 3/5  ;  12/16 = 3/4   ; Vì 3/5 < 3/4 nên 15/25 < 12/16 .

1.

20/400=1/20

333/555=3/5

1212/2323=12/23

123123/102102=41/34

\(a,\dfrac{3}{9}=\dfrac{1}{3}\\ \dfrac{16 }{24}=\dfrac{2}{3}\\ b,\dfrac{17}{51}=\dfrac{1}{3}=\dfrac{5}{15}\\ \dfrac{18}{90}=\dfrac{1}{5}=\dfrac{3}{15}\\ c,\dfrac{5}{10}=\dfrac{1}{2}=\dfrac{3}{6}\\ \dfrac{15}{45}=\dfrac{1}{3}=\dfrac{2}{6}\\ d,\dfrac{42}{63}=\dfrac{2}{3}=\dfrac{6}{9}\\ \dfrac{64}{72}=\dfrac{8}{9}\)