a) \(\frac{3}{5}+\frac{4}{7}+\frac{2}{5}+\frac{1}{7}+\frac{2}{7}\)

\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{4}{7}+\frac{1}{7}+\frac{2}{7}\right)\)

\(=\frac{5}{5}+\frac{7}{7}=1+1=2\)

a) \(\frac{3}{5}+\frac{4}{7}+\frac{2}{5}+\frac{1}{7}+\frac{2}{7}\)

\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{4}{7}+\frac{1}{7}+\frac{2}{7}\right)\)

= 1 + 1

= 2

b) \(\frac{4}{9}+\frac{8}{9}+\frac{12}{9}+\frac{16}{9}+...+\frac{48}{9}+\frac{52}{9}+\frac{56}{9}\)

\(=\frac{4+8+12+16+...+48+52+56}{9}\)

Xét 4 + 8 + 12 + 16 + ... + 48 + 52 + 56

Số các số hạng là: 

      (56 - 4) : 4 + 1 = 14 (số)

4 + 8 + 12 + 16 + ... + 48 + 52 + 56 = (56 + 4) x 14 : 2 = 420

\(\frac{4+8+12+16+...+48+52+56}{9}=\frac{420}{9}=\frac{140}{3}\)

a)=(3/5 + 2/5)+(4/7 + 1/7 + 2/7)=1+1=2

b)=sshl là:(56/9 - 4/9) : 2 +1=35/9

tổng là:(56/9 + 4/9)* 35/9 :2=350/27

4/9+8/9+12/9+16/9+...+48/9+52/9+56/9

=4+8+12+16+...+48+52+56/9

xét 4+8+12+16+...+48+52+56.

số số hạng là: (56-4):4+1= 14 số

4+8+12+16+...+48+52+56= (56+4)*14:2=420

suy ra: 4+8+12+16+...+48+52+56/9= 420/9

                                                    = 140/3

4/9+8/9+12/9+16/9+...+48/9+52/9+56/9

=4+8+12+16+...+48+52+56/9

Xét:  4+8+12+16+...+48+52+56.

Số số hạng là: (56-4):4+1= 14 (số)

4+8+12+16+...+48+52+56= (56+4)*14:2=420

=>: 4+8+12+16+...+48+52+56/9= 420/9

                                                    = 140/3

\(\frac{4}{9}+\frac{8}{9}+\frac{12}{9}+.............+\frac{52}{9}+\frac{56}{9}\)

\(=\frac{4+8+12+................+52+56}{9}\)

\(=\frac{420}{9}\)

\(=\frac{140}{3}\)

\(\frac{4}{9}+\frac{8}{9}+\frac{12}{9}+...+\frac{56}{9}\)

Tổng trên là tổng cách số hạng cách đều, số hạng sau hơn số hạng trước \(\frac{4}{9}\).

Dãy có số số hạng là: \(\left(\frac{56}{9}-\frac{4}{9}\right)\div\frac{4}{9}+1=14\)(số hạng)

GIá trị của tổng trên là: \(\left(\frac{56}{9}+\frac{4}{9}\right)\times14\div2=\frac{140}{3}\)

2/9+3/9+4/9+5/9+6/9+7/9

=2+3+4+5+6+7/9

=27/9

=3

1/6+4/9+5/6+11/16+5/9+5/16

=1/6+5/6+4/9+5/9+11/16+5/16

=1+1+1=3

hok tốt ~

( 1/10 + 2/9 + 3/8 + 4/7 + 5/6 + 1/6 + 3/7 + 5/8 + 7/9 + 9/10 ) * 48

= [ ( 1/10 + 9/10 ) + ( 2/9 + 7/9 ) + ( 3/8 + 5/8 ) + ( 4/7 + 3/7 ) + ( 5/6 + 1/6 ) ] * 48

=( 1 + 1 + 1 + 1 +  ) *48

=5 * 48

= 240

a) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}\)

\(=\dfrac{5}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)

\(=\dfrac{5}{7}\times1\)

\(=\dfrac{5}{7}\)

b) \(\dfrac{1}{10}+\dfrac{5}{9}+\dfrac{4}{9}+\dfrac{9}{10}-1\)

\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\left(\dfrac{1}{10}+\dfrac{9}{10}-1\right)\)

\(=1+0\)

\(=1\)

c) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}+\dfrac{2}{7}\)

\(=\dfrac{5}{7}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{2}{7}\)

\(=\dfrac{5}{7}+\dfrac{2}{7}\)

\(=1\)

d) \(\dfrac{2}{7}+\dfrac{2}{8}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{4}{7}\)

\(=\left(\dfrac{2}{8}+\dfrac{1}{4}\right)+\left(\dfrac{2}{7}+\dfrac{1}{7}+\dfrac{4}{7}\right)\)

\(=\left(\dfrac{1}{4}+\dfrac{1}{4}\right)+1\)

\(=\dfrac{1}{2}+1\)

\(=\dfrac{3}{2}\)

e) \(\dfrac{4}{5}+\dfrac{3}{10}+\dfrac{2}{10}+0,7\)

\(=\dfrac{4}{5}+\dfrac{5}{10}+\dfrac{7}{10}\)

\(=\dfrac{4}{5}+\dfrac{12}{10}\)

\(=\dfrac{4}{5}+\dfrac{6}{5}\)

\(=\dfrac{10}{5}\)

\(=2\)

g) \(362\times728+326\times272\)

\(=326\times\left(728+272\right)\)

\(=326\times1000\)

\(=326000\) 

Phương pháp giải:

Tính nhẩm rồi điền kết quả vào chỗ trống.

Lời giải chi tiết:

a)

7 + 5 = 12        5 + 7 = 12

4 + 9 = 13        9 + 4 = 13

8 + 7 = 15        7 + 8 = 15

2 + 9 = 11        9 + 2 = 11

b)

16 − 8 = 8        14 − 7 = 7

11 − 9 = 2        17 − 9 = 8

12 − 5 = 7        16 − 9 = 7

13 − 6 = 7        15 − 8 = 7

7+5=17        5+7=17

4+9=13       9+4=13