Tính bằng cách hợp lí 13/8+9/24+(27/8+15/24)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


8 − 9 4 + 2 7 − − 6 − 3 7 + 5 4 − 3 + 2 4 − 9 7 = 8 − 9 4 + 2 7 + 6 + 3 7 − 5 4 − 3 − 2 4 + 9 7 = 8 + 6 − 3 − 9 4 − 5 4 − 2 4 + 2 7 + 3 7 + 9 7 = 11 − 4 + 2 = 9

Bài 2:
a. $=62-81-12+59-9=(62-12)+(59-9)-81$
$=50+50-81=100-81=19$
b. $=39+13-26-62-39=(39-39)+13-(26+62)$
$=0+13-88=-(88-13)=-75$
c. $=(32-42)+(36-34)+(40-38)=10+2+2=14$
d. $=92-55+8-45=(92+8)-(55+45)=100-100=0$
Bài 1:
a. $=(387-87)-224=300-224=76$
b. $=-(75+35)+379=-110+379=379-110=269$
c. $=(11+15)-(13+17)=25-30=-5$
d. $=(31-21)-(27-24)=10-3=7$

\(\frac{5x8x24x27}{8x15x9x7}=\frac{5x8x24x9x3}{8x5x3x9x7}=\frac{24}{7}\)
Chúc bạn học tốt.
😁😁😁
Ta tính thuận tiện bằng cách phân tích các thừa số để bỏ thừa số chung:
\(\frac{5\text{x}8\text{x}24\text{x}27}{8\text{x}15\text{x}9\text{x}7}=\frac{5\text{x}8\text{x}3\text{x}8\text{x}3\text{x}3\text{x}3}{8\text{x}3\text{x}5\text{x}3\text{x}3\text{x}7}\)
\(=\frac{8\text{x}3}{7}\)
\(=\frac{24}{7}\)

a: =-21/36-3/36=-24/36=-2/3
b: =43/12*1/2+5/24=43/24+5/24=2
c: =8/9+1/9=1
e: =1-1/4+1/4-1/7+...+1/97-1/100
=1-1/100=99/100

1: =5/8*17/13*7/17*8/3*6
=5/3*7/13*6
=5*7*2/13=70/13
2: =-7/9(24/19-1)
=-7/9*5/19
=-35/171
3: =-3/8(7/6-9/6)
=-3/8*(-2/6)
=3/8*1/3=1/8

a) 8-5/ 8=1-5/8
49-32/ 49=1-32/49
mà 5/8<32/49
=>1-5/8>1-32/49
=> 3/8>17/49
tg tự
b) >
c) <
\(\frac{3}{8}v\frac{17}{49}tc:\)\(\frac{3}{8}=\frac{18}{48}>\frac{17}{48}>\frac{17}{49}\Rightarrow\frac{3}{8}>\frac{17}{49}\)
\(\frac{16}{27}v\frac{15}{29}tc:\frac{16}{27}>\frac{15}{27}>\frac{15}{29}\Rightarrow\frac{16}{27}>\frac{15}{29}\)
\(\frac{15}{59}v\frac{24}{47}tc:\frac{15}{59}< \frac{24}{59}< \frac{24}{47}\Rightarrow\frac{15}{59}< \frac{24}{47}\)

B={x\(\in\)N|x=3k; 1<=k<=4}
C={x\(\in\)N|x=4*a2; 1<=a<=5}
D={x\(\in\)N|x=9*a2;1<=a<=4}
E={x\(\in\)N|x=4k; 0<=x<=4}
G={x\(\in\)N|x=(-3)^k; 1<=k<=4}

Lời giải:
a. $=-(37+63)+[25+(-25)]+(-9)=-100+0+(-9)=-(100+9)=-109$
b. $=[1+(-3)]+[5+(-7)]+....+[21+(-23)]$
$=\underbrace{(-2)+(-2)+....+(-2)}_{6}=(-2).6=-12$
c. $=-(280+20)+[-(79+21)]=-300+(-100)=-(300+100)=-400$
d. $=[-(27+43)]+[-(208+102)]=-70+(-310)=-(70+310)=-380$
e. $=(38+120)-(12+46)=158-58=100$
f. $=9+15+11+24=(9+11)+(15+24)=20+39=59$
\(\dfrac{13}{8}\) + \(\dfrac{9}{24}\) + (\(\dfrac{27}{8}\) + \(\dfrac{15}{24}\))
= \(\dfrac{13}{8}\) + \(\dfrac{9}{24}\) + \(\dfrac{27}{8}\) + \(\dfrac{15}{24}\)
= (\(\dfrac{13}{8}\) + \(\dfrac{27}{8}\)) + (\(\dfrac{9}{24}\) + \(\dfrac{15}{24}\))
= \(\dfrac{40}{8}\) + \(\dfrac{24}{24}\)
= 5 + 1
= 6
\(\dfrac{13}{8}+\dfrac{9}{24}+\left(\dfrac{27}{8}+\dfrac{15}{24}\right)\\=\left(\dfrac{13}{8}+\dfrac{27}{8}\right)+\left(\dfrac{9}{24}+\dfrac{15}{24}\right)\\ =\dfrac{40}{8}+\dfrac{24}{24}\\ =5+1\\ =6\)