a) Cách 1 : (3/4 + 1/2) x 5/7

               = 5/4 x 5/7

                = 25/28

Cách 2 : (3/4 + 1/2) x 5/7

           = 3/4 x 5/7 + 1/2 x 5/7

            = 15/28 + 5/14

            = 25/28

b) Cách 1 : 5/7 x 13/21 + 2/7 x 13/21

= 65/147 + 26/147

= 13/21

Cách 2 : 5/7 x 13/21 + 2/7 x 13/21

= (5/7 + 2/7) x 13/21

= 1 x 13/21

= 13/21

câu c tự làm

8 /15 :2/3+7/15:2/3 =                                              tính bằng 2 cách nhé các bạn

Cách 1:6/8+4/8+5/7=10/8*5/7=50/56=25/28

Cách 2 :3/4*5/7+1/2*
5/7=15/28+10/28=25/28

Cái này thầy tôi đã chữa yên tâm

`(1/3 + 1/5) xx 1/4`

`= ( 5/15 + 3/15) xx 1/4`

`= 8/15 xx 1/4`

`= 8/60`

`= 2/15`

__

`(1/3 + 1/5) xx 1/4`

`= 1/3 xx 1/4 + 1/5 xx 1/4`

`= 1/12 +1/20`

`=2/15`

\(C_1:\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\times\dfrac{1}{4}=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{4}\times\dfrac{1}{5}=\dfrac{1}{12}+\dfrac{1}{20}=\dfrac{2}{15}\)

\(C_2:\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\times\dfrac{1}{4}=\dfrac{8}{15}\times\dfrac{1}{4}=\dfrac{8\times1}{15\times4}=\dfrac{8}{60}=\dfrac{2}{15}\)

Cách 1:

\(\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\times\dfrac{1}{4}=\left(\dfrac{5}{15}+\dfrac{3}{15}\right)\times\dfrac{1}{4}=\dfrac{8}{15}\times\dfrac{1}{4}=\dfrac{8}{60}=\dfrac{2}{15}\)

Cách 2:

\(\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\times\dfrac{1}{4}=\dfrac{1}{3}\times\dfrac{1}{4}+\dfrac{1}{5}\times\dfrac{1}{4}=\dfrac{1}{12}+\dfrac{1}{20}=\dfrac{5}{60}+\dfrac{3}{60}=\dfrac{8}{60}=\dfrac{2}{15}\)

a) 36 x (7 + 3) = ?

Cách 1: 36 x (7 + 3)

= 36 x 10 = 360

Cách 2: 36 x (7 + 3)

= 36 x 7 + 36 x 3 = 360

+) 207 x (2 +6) =?

Cách 1: 207 x (2 +6)

= 207 x 8 = 1656

Cách 2: 207 x (2 +6)

= 207 x 2 + 207 x 6 = 1656

b) 5 x 38 + 5 x 62 =?

Cách 1: 5 x 38 + 5 x 62

= 190 + 310 = 500

Cách 2: 5 x 38 + 5 x 62

= 5 x (38 +62) = 5 x 100 = 500

+) 135 x 8 + 135 x 2 =?

Cách 1: 135 x 8 + 135 x 2

= 1080 + 270 = 1350

Cách 2: 135 x 8 + 135 x 2

= 135 x (8 + 2) = 1350

Nói thêm: Nếu tính theo cách 1 thì nhanh hơn.

Tính và so sánh giá tri của biểu thức:

(3 +5) x 4 và 3 x 4 + 4 x 5

Từ kết quả so sánh, nêu cách nhân một tổng với một số.

Cách 1:

\(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\)

\(=\dfrac{5}{9}\times\dfrac{4}{9}\)

\(=\dfrac{20}{81}\)

Cách 2:

\(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\)

\(=\dfrac{1}{3}\times\dfrac{4}{9}+\dfrac{2}{9}\times\dfrac{4}{9}\)

\(=\dfrac{4}{27}+\dfrac{8}{81}\)

\(=\dfrac{20}{81}\)

C1: \(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\)x\(\dfrac{4}{9}\)=\(\left(\dfrac{3}{9}+\dfrac{2}{9}\right)\text{x}\dfrac{4}{9}\)=\(\dfrac{5}{9}\text{x}\dfrac{4}{9}=\dfrac{20}{81}\)

C2: \(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\)x\(\dfrac{4}{9}\)=\(\dfrac{1}{3}\text{ x}\dfrac{4}{9}+\dfrac{2}{9}\text{ x}\dfrac{4}{9}\)=\(\dfrac{4}{27}+\dfrac{8}{81}=\dfrac{12}{81}+\dfrac{8}{81}=\dfrac{20}{81}\)

 \(C1:\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\\ =\dfrac{5}{9}\times\dfrac{4}{9}\\ =\dfrac{20}{81}\)

\(C2:\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\\ =\dfrac{1}{3}\times\dfrac{4}{9}+\dfrac{2}{9}\times\dfrac{4}{9}\\ =\dfrac{4}{27}+\dfrac{8}{81}\\ =\dfrac{20}{81}\)

\(a,\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\times\dfrac{1}{4}=\dfrac{8}{15}\times\dfrac{1}{4}=\dfrac{8}{60}=\dfrac{2}{15}\)

\(\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\times\dfrac{1}{4}=\dfrac{1}{3}\times\dfrac{1}{4}+\dfrac{1}{5}\times\dfrac{1}{4}=\dfrac{1}{12}+\dfrac{1}{20}=\dfrac{20}{240}+\dfrac{12}{240}=\dfrac{32}{240}=\dfrac{2}{15}\)

\(b,\dfrac{2}{5}\times\dfrac{3}{7}+\dfrac{2}{5}\times\dfrac{4}{7}=\dfrac{2}{5}\times\left(\dfrac{3}{7}+\dfrac{4}{7}\right)=\dfrac{2}{5}\times1=\dfrac{2}{5}\)

\(\dfrac{2}{5}\times\dfrac{3}{7}+\dfrac{2}{5}\times\dfrac{4}{7}=\dfrac{6}{35}+\dfrac{8}{35}=\dfrac{14}{35}=\dfrac{2}{5}\)

trả lời nhanh nha! trả lời trong tối hôm nay 19/3/2023 ạ

C1 : `a)(1/3+1/5)xx1/4`

`=(5/15+3/15)xx1/4`

`=8/15xx1/4`

`=8/60`

`=2/15`

__

C2: `a)(1/3+1/5)xx1/4`

`=1/3xx1/4+1/5xx1/4`

`=1/12+1/20`

`=5/60+3/60`

`=8/60`

`=2/15`

_________________

C1: `b)2/5xx3/7+2/5xx4/7`

`=6/35+8/35`

`=14/35`

`=2/5`

__

C2: `b)2/5xx3/7+2/5xx4/7`

`=2/5xx(3/7+4/7)`

`=2/5xx7/7`

`=2/5xx1`

`=2/5`

`(1/4+1/6)xx1/2`

`=(3/12+2/12)xx1/2`

`=5/12xx1/2`

`=5/24`

`(1/4+1/6)xx1/2`

`=1/4xx1/2+1/6xx1/2`

`=1/8+1/12`

`=3/24+2/24`

`=5/24`

Nhào vô trả lời nhanh và đúng mk k cho!!!

nhanh! nhanh ! nhanh

có dấu ngoặc đơn ko

\(\frac{x}{5}=\frac{y}{-3}\)\(\frac{x^2}{5^2}=\frac{y^2}{-3^2}\)

Áp dụng tính chất của dãy tỉ số bằng nhau ta có :

\(\frac{x^2}{25}-\frac{y^2}{9}=\frac{1}{16}\)

\(=>\frac{x}{5}=\frac{1}{16}\)

\(=>x.16=5\)

\(=>x=\frac{5}{16}\)

Tương tự ta có \(y=\frac{-3}{16}\)

\(\frac{x}{3}=\frac{y}{4}\)

Áp dụng...ta có:

\(\frac{x}{3}-\frac{y}{4}=\frac{192}{-1}=-192\)

\(x=-192:3=-64\)

\(y=-192:4=-48\)