a) \(\frac{3}{8}+\frac{7}{12}+\frac{10}{16}+\frac{10}{24}\)

= \(\frac{3}{8}+\frac{7}{12}+\frac{5}{8}+\frac{5}{12}\)

=\(\left(\frac{3}{8}+\frac{5}{8}\right)+\left(\frac{7}{12}+\frac{5}{12}\right)\)

= \(\frac{8}{8}+\frac{12}{12}\)

= \(1+1\)

=\(2\)

b) \(\frac{4}{6}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{14}{6}\)

= \(\frac{2}{3}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{7}{3}\)

= \(\left(\frac{2}{3}+\frac{7}{3}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)+\left(\frac{17}{9}+\frac{1}{9}\right)\)

= \(\frac{9}{3}+\frac{26}{13}+\frac{18}{9}\)

= \(3+2+2\)

= \(7\)

Chúc bạn học tốt

Tính nhanh:

a, 3/8 + 7/12 + 10/16 + 10/24

= (3/8 + 10/16) + (7/12 + 10/24)

= (6/16 + 10/16) + (14/24 + 10/24)

= 16/16 + 24/24

= 1 + 1 = 2.

b, 4/6 + 7/13 + 17/9 + 19/13 + 1/9 + 14/6

= (4/6 + 14/6) + (7/13 + 19/13) + (17/9 + 1/9)

= 18/6 + 26/13 + 18/9

= 3 + 2 + 2 = 7.

13 nha bạn

sao S vậybanj

Câu a:

942 - 2567+ 2563 - 1942

= -(1942 - 942) - ( 2567 - 2563)

= - 1000 - 4

= -1004

Câu b:

13 - 12 + 11 + 10 - 9 + 8 - 7 - 6 + 5 - 4 - 3 - 2 - 1

= (13 - 7) + (11 - 1) + (10 - 6 - 4) + (5 -3- 2) - (12 + 9 - 8)

= 6 + 10 +0 + 0 - 13

= 16 - 13

= 3

A =1+ 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + 13+ 14 - 15 - 16 + 17+ 18 - 19 - 20

A = (1 + 2 - 3 - 4) + (5+ 6 - 7 - 8) + (9 + 10 - 11 - 12) + (13 + 14 - 15 - 16) + (17 + 18 - 19 -20)

A = - 4 - 4 - 4 - .. -4

A = - 4 x 5

A = - 20

B = 100 - 95 - 90 - 85 - ...- 15 - 10 - 5

B = 100 - (95 + 90+ 85+ .. + 15 + 10+ 5)

Đặt C = 5 + 10 + 15 + ...+ 95

Xét dãy số: 5; 10; 15;...; 80; 85; 90; 95

Dãy số trên là dãy số cách đều với khoảng cách là:

95 - 90 = 5

Số số hạng của dãy số trên là:

(95 - 5) : 5+ 1 = 19(số)

Tổng C là:

(5 + 95) x 19 : 2 = 950

B = 100 - 950

B = - 850

a) \(\frac{3}{8}+\frac{7}{12}+\frac{10}{16}+\frac{10}{24}\)

\(=\frac{3}{8}+\frac{7}{12}+\frac{5}{8}+\frac{5}{12}\)

\(=\left(\frac{3}{8}+\frac{5}{8}\right)+\left(\frac{7}{12}+\frac{5}{12}\right)\)

\(=1+1\)

\(=2\)

b) \(\frac{4}{6}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{14}{6}\)

\(=\frac{2}{3}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{7}{3}\)

\(=\left(\frac{2}{3}+\frac{7}{3}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)+\left(\frac{1}{9}+\frac{17}{9}\right)\)

\(=\frac{9}{3}+\frac{26}{13}+\frac{18}{9}\)

\(=3+2+2\)

\(=7\)