\(\dfrac{1}{4}\times\dfrac{5}{12}+\dfrac{5}{12}\times\dfrac{4}{5}=\dfrac{5}{12}\times\left(\dfrac{1}{4}+\dfrac{4}{5}\right)=\dfrac{5}{12}\times\left(\dfrac{5}{20}+\dfrac{8}{20}\right)=\dfrac{5}{12}\times\dfrac{13}{20}=\dfrac{13}{48}\)

\(C_1:\dfrac{1}{4}\times\dfrac{5}{12}+\dfrac{5}{12}\times\dfrac{4}{5}=\dfrac{5}{48}+\dfrac{1}{3}=\dfrac{7}{16}\)

\(C_2:\dfrac{1}{4}\times\dfrac{5}{12}+\dfrac{5}{12}\times\dfrac{4}{5}=\dfrac{5}{12}\times\left(\dfrac{1}{4}+\dfrac{4}{5}\right)=\dfrac{5}{12}\times\dfrac{21}{20}=\dfrac{7}{16}\)

Lời giải chi tiết:

Ta tính nhẩm như sau:

3x4=12     2x5=10    5x3=15     4x2=8

12:3=4      10:2=5    15:3=5      8:2=4

12:4=3      10:5=2     15:5=3     8:4=2

c) Ta có: \(\dfrac{3}{5}+\dfrac{-5}{20}+\dfrac{30}{75}+\dfrac{-7}{4}\)

\(=\dfrac{3}{5}+\dfrac{2}{5}+\dfrac{-1}{4}+\dfrac{-7}{4}\)

\(=1-2=-1\)

Giải:

a)-1/12+4/3=-1/12+16/12=15/12=5/4

b)(-4/14-3/15)-(1/5-20/35-(-1)).7

=-17/35-22/35.7

=-17/35-22/5

=-171/35

c)3/5+-5/20+30/75+-7/4

=3/5+-1/4+2/5+-7/4

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

=1+-2

=-1

d)5/6.-12/14+7/13

=-5/7+7/13

=-16/91

e)2/-9-5/-36-1/4

=-1/12-1/4

=-1/3

f)2/23+-5/12+7/18+21/23+-7/12

=(2/23+21/23)+(-5/12+-7/12)+7/18

=1+-1+7/18

=7/18

a) 8 × 5 × 9 = (8 × 5) × 9 = 40 × 9 = 360

b) 6 × 7 × 5 = (6 × 5) × 7= 30 × 7= 210

c) 6 × 4 × 25 = 6 × (4 × 25) = 6 × 100= 600

a) (15 +35) : 5 = ?

Cách 1: (15 +35) : 5

= 50 : 5 = 10

Cách 2: (15 +35) : 5

= 15 : 5 + 35 : 5

= 3 + 7 = 10

+) (80 +4) : 4 = ?

Cách 1:(80 +4) : 4

= 84 : 4 = 21

Cách 2:(80 +4) : 4

= 80 : 4 + 4 :4 = 20 +1 = 21

b) 18 : 6 + 24 : 6 = ?

Cách 1: 18 : 6 + 24 : 6

= 3 + 4 = 7

Cách 2: (18 + 24) : 6

= 42 : 6 = 7

+) 60 : 3 + 9 : 3 =?

Cách 1: 60 : 3 + 9 : 3

= 20 + 3 = 23

Cách 2: 60 : 3 + 9 : 3

=(60 +9) : 3 = 23

a) (15 +35) : 5 = ?

Cách 1: (15 +35) : 5

= 50 : 5 = 10

Cách 2: (15 +35) : 5

= 15 : 5 + 35 : 5

= 3 + 7 = 10

+) (80 +4) : 4 = ?

Cách 1:(80 +4) : 4

= 84 : 4 = 21

Cách 2:(80 +4) : 4

= 80 : 4 + 4 :4 = 20 +1 = 21

b) 18 : 6 + 24 : 6 = ?

Cách 1: 18 : 6 + 24 : 6

= 3 + 4 = 7

Cách 2: (18 + 24) : 6

= 42 : 6 = 7

+) 60 : 3 + 9 : 3 =?

Cách 1: 60 : 3 + 9 : 3

= 20 + 3 = 23

Cách 2: 60 : 3 + 9 : 3

=(60 +9) : 3 = 23

Đáp án: (9 x 8 – 12 – 5  12)  (4 + 5)

               = (72 – 12 – 60)   9

a, -10

b, 20

c, -20

d, -30

a) 10 – 12 – 8 = 10 – (12 + 8) = 10  - 20 = - 10

b) 4 – (- 15) – 5 + 6 = (4 + 6) – [(-15) + 5)] = 10 – (- 10) = 10 + 10 = 20

c) 2 – 12 – 4 – 6 = (2 – 12) - (4 + 6) = -10 + (- 10) = - 20

d) – 45 – 5 – (- 12) + 8 = - (45 + 5) + (12 + 8) = (- 50) + 20 = - 30