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Gọi tổng trên là A.Ta có
\(A=\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(2A=\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}+\frac{2}{143}+\frac{2}{195}\)
\(2A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}+\frac{2}{13.15}\)
\(2A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\)
\(2A=\frac{1}{3}-\frac{1}{15}\)
\(2A=\frac{5}{15}-\frac{1}{15}\)
\(2A=\frac{4}{15}\)
\(A=\frac{4}{15}:2\)
\(A=\frac{2}{15}\)
b1 -10/14
b2 -4/5
b3
a 2/9-7/8.x=1/3
7/8.x=2/9-1/3=-1/9
x=-1/9:-7/8=8/63
b 23/7.x-1/8=11/4
23/7.x=11/4+1/8=23/8
x=23/8:23/7=7/8
b4
Quyển truyện cs số trang:
36:(1−1/4−9/20)=120(trang)
hộ C1: Tìm x biết
a 2x-35=15
=>2x=15+35=50
=>x=25
b 3x+17=2
=>3x=2-17=-15
=>x=5
c x+3/15=1/3
x=1/3-3/15=2/15
d x-12/4=1/2
x=1/2+12/4=7/2
a. 2x-35=15
2x=15+35
2x=50
x=50:2
x=25
Vậy x=25
b. 3x+17=2
3x=2-17
3x=-15
x=-15:3
x=-5
Vậy x=-5
c. \(\frac{x+3}{15}=\frac{1}{3}\)
\(\Rightarrow3x+9=15\)
\(3x=15-9\)
\(3x=6\)
\(x=6:3\)
\(x=3\)
Vậy x=3
d. \(\frac{x-12}{4}=\frac{1}{2}\)
\(\Rightarrow2x-24=4\)
\(2x=4+24\)
\(2x=28\)
\(x=28:2\)
\(x=14\)
Vậy x=14
\(\frac{x}{8}=\frac{-15}{30}\)
\(\Rightarrow x=\frac{-15.8}{30}\)
\(\Rightarrow x=-4\)
\(\frac{y}{6}=\frac{15}{-45}\)
\(\Rightarrow y=\frac{15.6}{-45}\)
\(\Rightarrow y=-2\)
A) \(\frac{x}{8}=\frac{-15}{30}\)
\(\Leftrightarrow\)\(x=\frac{\left(-15\right).8}{30}=-4\)
Vậy...
B) \(\frac{y}{6}=\frac{15}{-45}\)
\(\Leftrightarrow\)\(y=\frac{15.6}{-45}=-2\)
Vậy....
Bài 1:
a)
\(\dfrac{1}{-5}=\dfrac{1:-1}{-5:-1}=\dfrac{-1}{5}\)
\(\dfrac{-3}{-15}=\dfrac{-3:-3}{-15:-3}=\dfrac{1}{5}\)
Vì \(-1< 1\) nên\(\dfrac{-1}{5}< \dfrac{1}{5}\)
Vậy \(\dfrac{1}{-5}< \dfrac{-3}{-15}\)
b)
\(\dfrac{25}{-10}=\dfrac{25:-5}{-10:-5}=\dfrac{-5}{2}\)
\(\dfrac{15}{-2}=\dfrac{15:-1}{-2:-1}=\dfrac{-15}{2}\)
Vì \(-5>-15\) nên\(\dfrac{-5}{2}>\dfrac{-15}{2}\)
Vậy \(\dfrac{25}{-10}>\dfrac{15}{-2}\)
Bài 2:
a)
\(\dfrac{300}{540}=\dfrac{300:60}{540:60}=\dfrac{5}{9}\)
b)
\(\dfrac{-38}{95}=\dfrac{-38:19}{95:19}=\dfrac{-2}{5}\)
c)
\(\dfrac{-68}{-85}=\dfrac{-68:-17}{-85:-17}=\dfrac{4}{5}\)
Bài 3:
a)
\(\dfrac{x}{3}=-\dfrac{4}{6}\)
\(\dfrac{x}{6}=-\dfrac{4}{6}\)
\(x=-4\)
b) \(x-\dfrac{1}{3}=\dfrac{8}{6}\)
\(x=\dfrac{8}{6}+\dfrac{1}{3}\)
\(x=\dfrac{5}{3}\)
c) \(\dfrac{x}{9}=\dfrac{4}{x}\)
\(x^2=36\)
\(x=6\)
d) mình có giải câu hỏi trước rồi nhé
Sửa câu c)
\(x^2=36\)
\(\left[{}\begin{matrix}x=6\\x=-6\end{matrix}\right.\)