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a, 23/4 : 3 + 9/4 x 1/3 - 3/8
= 7,8 + 12,22 - 3,8
= 20,02 - 3,8
=16,22
b, 3/5 : 5/6 : 6/7 : 7/8 + 2/5 +23/35
=3/5 x 6/5 x 7/6 x 8/7 + 2/5 + 23/35
=24/25 + 2/5 + 23/35
=1/5 x(24/5 + 2 +23/7)
=1/5 x 353/35
=353/175
4+6+7+9+7+9+7+9+7+8+9+4
= ( 4 + 6 ) + ( 7 + 7 + 7 + 7 ) + ( 9 + 9 + 9 + 9 ) + 8 + 4
= 10 + 7 x 4 + 9 x 4 + 8 + 4
= ( 10 + 28 ) + ( 36 +4 )
= 38 + 40
= 78
\(\left(x+4\right)+\left(x+6\right)+\left(x+8\right)+...+\left(x+26\right)=210\)
Số các chữ số x: \(\left(26-4\right):2+1=12\left(số\right)\)
\(\Rightarrow12x+\left(4+6+8+...+26\right)=210\)
\(\Rightarrow12x+\dfrac{\left(26+4\right)\left(\dfrac{26-4}{2}+1\right)}{2}=210\)
\(\Leftrightarrow12x+180=210\Leftrightarrow12x=30\Leftrightarrow x=\dfrac{5}{2}\)
(x + 4) + (x + 6) + (x + 8) + ... + (x + 26) = 210
<=> x[(26 - 4) : 2 + 1] + (26 + 4)[(26 - 4) : 2 + 1] : 2 = 210
<=> 12x + 180 = 210
<=> 12x = 210 - 180
<=> 12x = 30
<=> x = 2,5
\(\text{5 × 4 × 7 × 1 × 8 × 9 × 2 × 4 × 6 × 100 ÷20 =}\text{2419200}\)
6/7 * 5/8*7/3*7/6*8/5
= 6*5*7*7*8 /7*8*3*6*5
=1*1*7*1*1/1*1*3*1*1
= 7/3
Kết quả nè bạn ơi;
A; 3/4 + 2/5=23/20
B;7/4 - 1/2=5/4
C;4/9 x 6/8=24/72
D;14/5 : 7/8=112/35
\(a,=\frac{7-1}{1.3.7}+\frac{9-3}{3.7.9}+\frac{13-7}{7.9.13}+\frac{15-9}{9.13.15}\)\(+\frac{19-13}{13.15.19}\)
\(=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}\)
\(=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}\)
\(b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)\)
làm giống như trên
\(c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}\)
\(d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}\)
P/S: . là nhân nha
cách 1
6/7=6×8/7×8=48/56
7/8=7×7/8×7=49/56
VẬY 6/7 bé hơn 7/8
Xin lỗi bạn mk chỉ giải được một cách !!!
c1) 8/7>1>7/8
c2 8/7=64/56>7/8=49/56
c3) 8/7-1=1/7;1-7/8=1/8
=>8/7>7/8
\(\frac{1}{2}\times\frac{1}{3}\times.........\times\frac{1}{10}=\frac{1}{2\times3}+......+\frac{1}{9\times10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-..........-\frac{1}{10}=\frac{1}{2}-\frac{1}{10}=\frac{2}{5}\)
Số số hạng trong dãy là x-6+1=x-5(số)
Tổng của dãy số là (x+6)x(x-5):2
Theo đề, ta có:
\(\left(x+6\right)\times\dfrac{\left(x-5\right)}{2}=195\)
=>\(\left(x+6\right)\times\left(x-5\right)=390\)
=>\(x^2+x-420=0\)
=>(x+21)(x-20)=0
=>\(\left[{}\begin{matrix}x=-21\left(loại\right)\\x=20\left(nhận\right)\end{matrix}\right.\)
Vậy: x=20
\(6+7+8+9+...+x=195\)
\(1+2+3+...+x-\left(1+2+3+4+5\right)=195\)
\(\dfrac{x\left(x+1\right)}{2}-\left(1+2+3+4+5\right)=195\)
\(\dfrac{x\left(x+1\right)}{2}=210\)
\(x\left(x+1\right)=420\)
\(x\cdot x+x=420\)
\(x=420\)