a: 7/30=28/120

13/60=26/120

-9/40=-27/120

b: -3/5=-18/30

-5/6=-25/30

3=90/30

c: -4/7=-36/63

8/9=56/63

-10/21=-30/63

d: -3/20=-9/60

-11/-30=11/30=22/60

7/15=28/60

a) i don't know

b) \(\frac{5}{1.2}+\frac{5}{2.3}+\frac{5}{3.4}+...+\frac{5}{28.29}\)

\(5.\left(1-\frac{1}{2}\right)+5.\left(\frac{1}{2}-\frac{1}{3}\right)+5.\left(\frac{1}{3}-\frac{1}{4}\right)+...+5.\left(\frac{1}{28}-\frac{1}{29}\right)\)

\(5.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{28}-\frac{1}{29}\right)\)

\(5.\left(1-\frac{1}{29}\right)\)

\(5.\frac{28}{29}\)

\(\frac{140}{29}\)

c ) \(\frac{4}{2.4}+\frac{4}{4.6}+...+\frac{4}{28.30}\)

\(2.\left(\frac{1}{2}-\frac{1}{4}\right)+2.\left(\frac{1}{4}-\frac{1}{6}\right)+...+2.\left(\frac{1}{28}-\frac{1}{30}\right)\)

\(2.\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{28}-\frac{1}{30}\right)\)

\(2.\left(\frac{1}{2}-\frac{1}{30}\right)\)

\(2.\frac{7}{15}=\frac{14}{15}\)

d) đề là thế này nè : 4/6 + 4/12 + 4/20 + 4/30 + 4/42 + 4/56

4/2.3 + 4/3.4 + 4/4.5 + 4/5.6 + 4/6.7 + 4/7.8

4.(1/2-1/3) + 4.(1/3-1/4 ) + 4.(1/4-1/5) + 4.(1/5-1/6 ) + 4.(1/6 - 1/7 ) + 4.(1/7-1/8 )

4.(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8)

4.(1/2-1/8)

4.1/16

1/4

mình chỉ giải được phần b, c, thôi nhé

b,5/1x2 + 5/2x3 + 5/3x4 +....+5/28x29

=[5/1x2 + 5/2x3 + 5/3x4 +....+ 5/28x29] :5

=5:5/1x2 = 5:5/2x3 + 5:5/3x4 +....+ 5:5/28x29

=1/1x2 + 1/2x3 + 1/3x4 +....+ 1/28x29

Nhận xét :

1/1x2 = 1/1 - 1/2             .....

1/2x3 = 1/2 - 1/3            1/28x29 =1/28 - 1/29

1/3x4 = 1/3 - 1/4               

thay vào ta có

=1/1 - 1/2 + 1/2 -1/3 + 1/3 -1/4 +....+ 1/28 - 1/29

=1/1 -1/29

=29/29 - 1/29

=28/29

=28/29 x 5

=140/29

c, 4/2x4 + 4/4x6 +....+ 4/28x30

=[4/2x4 + 4/4x6 + ....+ 4/28x30] :2

=4:2/2x4 + 4:2/4x6 +....+ 4:2/28x30]

=2/2x4 + 2/4x6 +....+ 2/28x30

Nhận xét 

2/2x4 = 1/2-1/4                    ........

2/4x6 =1/4 -1/6                   2/28x30 = 1/28 - 1/30

Thay vào ta có

=1/2 - 1/4 + 1/4 -1/6 +....+ 1/28 + 1/30

=1/2 - 1/30

=15/30 - 1/30

=14/30 x 2

= 14/15

\(a,4\frac{1}{2}< 4\frac{3}{4}\)

\(b,2\frac{4}{5}< 3\frac{1}{4}\)

\(c,7\frac{2}{9}>5\frac{2}{9}\)

\(d,13\frac{5}{6}< 13\frac{6}{7}\)

Nao Tomori

\(a,4\frac{1}{2}....4\frac{3}{4}\Rightarrow4\frac{1}{2}=\frac{13}{2};4\frac{3}{4}=\frac{19}{4}\)

\(=4\frac{1}{2}< 4\frac{3}{4}\)

\(b,2\frac{4}{5}....3\frac{1}{4}\Rightarrow2\frac{4}{5}=\frac{14}{5};3\frac{1}{4}=\frac{13}{12}\)

\(=2\frac{4}{5}>3\frac{1}{4}\)

\(c,7\frac{2}{9}....5\frac{2}{9}\Rightarrow7\frac{2}{9}=\frac{65}{9};5\frac{2}{9}=\frac{42}{9}\)

\(=7\frac{2}{9}>5\frac{2}{9}\)

\(d,13\frac{5}{6}....13\frac{6}{7}\Rightarrow13\frac{5}{6}=\frac{83}{6};13\frac{6}{7}=\frac{97}{7}\)

\(=13\frac{5}{6}< 13\frac{6}{7}\)

P/s: Quy đồng là bước trung gian nên mk ko ghi bước quy đồng nha

a, 3/5 - 1/15 x 10/13
 = 3/5 - 2/39
 = 117/195 - 10/195
 = 107/195
b, (3/5 - 3/20) x 4/5
 = (12/20 - 3/20) x 4/5
 = 9/20 x 4/5
 = 9/25
Chúc bạn học tốt

a) \(\frac{113}{13}-\frac{24}{7}-\frac{53}{13}=\frac{60}{13}-\frac{24}{7}\)

=\(\frac{420-312}{91}=\frac{108}{91}\)

b) \(\frac{2}{7}.\left(\frac{51}{4}-\frac{31}{4}\right)=\frac{2}{7}.5=\frac{10}{7}\)

c) \(\frac{3}{5}+1-\frac{1}{20}\)= \(\frac{12}{20}+\frac{20}{20}-\frac{1}{20}=\frac{31}{20}\)

sai r cậu

Sai chỗ nào vậy ạ? chỉ tui với..

a \(\dfrac{6}{15}+\dfrac{11}{15}=\dfrac{17}{15}\)

b \(\dfrac{22}{77}-\dfrac{14}{77}=\dfrac{8}{77}\)

c \(\dfrac{11}{13}\times\dfrac{26}{31}=11\times\dfrac{2}{31}=\dfrac{22}{31}\)

d \(\dfrac{1}{2}\times3\times\dfrac{2}{5}=\dfrac{3}{5}\)

a, 2/5 + 11/15 = 6/15 + 11/15 = 17/15

b,2/7 - 2/11 = 22/77 - 14/77 = 8/77

c, 11/13 x 26/31= 11 x 2/31 =22/31

d, 1/2 : 1/3 x 2/5

=  ( 1/2 x 2/5 ) : 1/3

=     1/5        : 1/3

=         3/5

1.

\(a,\frac{1}{7}+\frac{3}{4}+\frac{2}{7}+\frac{4}{7}=\frac{1}{7}+\frac{2}{7}+\frac{4}{7}+\frac{3}{4}\)

\(=1+\frac{3}{4}=\frac{7}{4}.\)

\(b,\frac{4}{7}:\frac{2}{5}+\frac{3}{7}:\frac{2}{5}-\frac{7}{9}=\left(\frac{4}{7}+\frac{3}{7}\right):\frac{2}{5}-\frac{7}{9}\)

\(=1:\frac{2}{5}-\frac{7}{9}=\frac{5}{2}-\frac{7}{9}\)

\(=\frac{31}{18}.\)

a)3/4+(1/7+2/7+4/7)

=3/4+1

=7/4

b)2/5:(4/7+3/7)-7/9

=2/5:1-7/9

=2/5-7/9

=-17/45

31/18

\(\frac{1}{5}-\frac{3}{7}+\frac{5}{9}-\frac{2}{11}+\frac{7}{13}-\frac{9}{16}-\frac{7}{13}+\frac{2}{11}-\frac{5}{9}+\frac{3}{7}-\frac{1}{5}\)

\(=\left(\frac{1}{5}-\frac{1}{5}\right)+\left(\frac{2}{11}-\frac{2}{11}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)+\left(\frac{3}{7}-\frac{3}{7}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)-\frac{9}{16}\)

\(=\frac{-9}{16}\)