a) Tính :
1)\(5\frac{3}{8}-\frac{40}{5}(x-1)=4\frac{3}{8}\)
Bài 1 : Tính :
B = \(\frac{\frac{1}{2}+\frac{3}{4}-\frac{5}{6}}{\frac{1}{4}+\frac{3}{8}-\frac{5}{12}}+\frac{\frac{3}{4}+\frac{3}{5}-\frac{3}{8}}{\frac{1}{4}+\frac{1}{5}-\frac{1}{8}}\)
Bài 2 : tìm x và y
a) x3 - 36x = 0
b) \(\frac{x-3}{y-2}=\frac{3}{2}\)và x - y = 4 ( x , y \(\in\)Z )
Bài 1:
\(B=\frac{\frac{1}{2}+\frac{3}{4}-\frac{5}{6}}{\frac{1}{4}+\frac{3}{8}-\frac{5}{12}}+\frac{\frac{3}{4}+\frac{3}{5}-\frac{3}{8}}{\frac{1}{4}+\frac{1}{5}-\frac{1}{8}}\)\(=\frac{\frac{1}{2}+\frac{3}{4}-\frac{5}{6}}{\frac{1}{2}\left(\frac{1}{2}+\frac{3}{4}-\frac{5}{6}\right)}+\frac{3\left(\frac{1}{4}+\frac{1}{5}-\frac{1}{8}\right)}{\frac{1}{4}+\frac{1}{5}-\frac{1}{8}}\)
\(=\frac{1}{\frac{1}{2}}+3\) \(=2+3\) \(=5\)
Vậy B=5
Bài 2:
a) x3 - 36x = 0
=> x(x2-36)=0
=> x(x2+6x-6x-36)=0
=> x[x(x+6)-6(x+6) ]=0
=> x(x+6)(x-6)=0
\(\Rightarrow\orbr{\begin{cases}^{x=0}x+6=0\\x-6=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}^{x=0}x=-6\\x=6\end{cases}}\)
Vậy x=0; x=-6; x=6
b) (x - y = 4 => x=4+y)
x−3y−2 =32
=>2(x-3) = 3(y-2)
=>2x-6= 3y-6
=>2x-3y=0
=>2(4+y)-3y=0
=>8+2y-3y=0
=>8-y=0
=>y=8 (thỏa mãn)
Do đó x=4+y=4+8=12 (thỏa mãn)
Vậy x=12 và y =8
B= 1/2 + 3/4 - 5/6/1/2(1.2 + 3/4 - 5/6) + 3(1/4+ 1/5 - 1/8)/ 1/4 1/5 - 1/8
B= 1/ 1/2 + 3
B= 2+3
B=5
B2:
a) x^3 - 36x = 0
x(x^2 - 36) = 0
=> x=0 hoặc x^2-36=0
=> x= 0 hoặc x^2=36
=> x=0 hoặc x= +- 6
b) x-y = 4 => x= 4+y
thay x=4+y vào x- 3/ y-2=3/2, có:
4+y-3/ y+2 = 3/2
y+1/ y+2 = 3/2
y+2 -1/ y+2 = 3/2
1 - 1/y+2 = 3/2
1/y+2= 1-3/2
1/y+2 = -1/2
=> y+2 = -2
=> y= -4
Dp x= 4+y => x= 4-4
=> x=0
Vậy x=0 và y=-4
cho A=40+\(\frac{8}{3}+\frac{7}{8^2}\frac{5}{8^3}\frac{32}{8^5}vàB=\frac{24}{8^2}+40+\frac{5}{8^2}+\frac{40}{8^2}\frac{5}{8^4}.\)
\(-\frac{4}{5}-|\frac{3}{4}-1\frac{1}{8}|=\frac{7}{20}-x+\frac{3}{-40}\)
\(\frac{-4}{5}-\left|\frac{3}{4}-1\frac{1}{8}\right|=\frac{7}{20}-x+\frac{3}{-40}\)
\(\frac{-4}{5}-\left|\frac{6}{8}-\frac{9}{8}\right|=\frac{14}{40}+\frac{-3}{40}-x\)
\(\frac{-4}{5}-\frac{-3}{8}=\frac{11}{40}-x\)
\(\frac{-32}{40}+\frac{15}{40}-\frac{11}{40}=-x\)
\(-\frac{7}{10}=-x\)
\(x=-\frac{7}{10}\)
So sánh
\(A=40+\frac{3}{8}+\frac{7}{8^2}+\frac{5}{8^3}+\frac{32}{8^5}\)
\(B=\frac{24}{8^2}+40+\frac{5}{8^2}+\frac{40}{8^4}+\frac{5}{8^4}\)
Tính giá trị của các biểu thức sau:
\(\begin{array}{l}a)(8 + 2\frac{1}{3} - \frac{3}{5}) - (5 + 0,4) - (3\frac{1}{3} - 2)\\b)(7 - \frac{1}{2} - \frac{3}{4}):(5 - \frac{1}{4} - \frac{5}{8})\end{array}\)
a) Cách 1:
\(\begin{array}{l}(8 + 2\frac{1}{3} - \frac{3}{5}) - (5 + 0,4) - (3\frac{1}{3} - 2)\\ = (8 + \frac{7}{3} - \frac{3}{5}) - (5 + \frac{4}{{10}}) - (\frac{{10}}{3} - 2)\\ = 8 + \frac{7}{3} - \frac{3}{5} - 5 - \frac{2}{5} - \frac{{10}}{3} + 2\\ = (8 - 5 + 2) + (\frac{7}{3} - \frac{{10}}{3}) - (\frac{3}{5} + \frac{2}{5})\\ = 5 + \frac{{ - 3}}{3} - \frac{5}{5}\\ = 5 + ( - 1) - 1\\ = 3\end{array}\)
Cách 2:
\(\begin{array}{l}(8 + 2\frac{1}{3} - \frac{3}{5}) - (5 + 0,4) - (3\frac{1}{3} - 2)\\ = (8 + \frac{7}{3} - \frac{3}{5}) - (5 + \frac{4}{{10}}) - (\frac{{10}}{3} - 2)\\ = (\frac{{120}}{{15}} + \frac{{35}}{{15}} - \frac{9}{{15}}) - (\frac{{25}}{5} + \frac{2}{5}) - (\frac{{10}}{3} - \frac{6}{3})\\ = \frac{{146}}{{15}} - \frac{{27}}{5} - \frac{4}{3}\\ = \frac{{146}}{{15}} - \frac{{81}}{{15}} - \frac{{20}}{{15}}\\ = \frac{{45}}{{15}}\\ = 3\end{array}\)
b)
\(\begin{array}{l}(7 - \frac{1}{2} - \frac{3}{4}):(5 - \frac{1}{4} - \frac{5}{8})\\ = (\frac{{28}}{4} - \frac{2}{4} - \frac{3}{4}):(\frac{{40}}{8} - \frac{2}{8} - \frac{5}{8})\\ = \frac{{23}}{4}:\frac{{33}}{8}\\ = \frac{{23}}{4}.\frac{8}{{33}}\\ = \frac{{46}}{{33}}\end{array}\)
tính bằng cách thuạn tiện nhất
a) \(5\frac{3}{4}:3+2\frac{1}{4}x\frac{1}{3}-\frac{3}{8}=?\)
b) \(\frac{3}{5}:\frac{5}{6}:\frac{6}{7}:\frac{7}{8}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=?\)
ai đúng trả lời nhanh k ạ
a ) \(5\frac{3}{4}:3+2\frac{1}{4}.\frac{1}{3}-\frac{3}{8}=\frac{23}{4}:\frac{3}{1}+\frac{9}{4}.\frac{1}{3}=\frac{23}{12}+\frac{3}{4}=\frac{8}{3}\)
b ) \(\frac{3}{5}:\frac{5}{6}:\frac{6}{7}:\frac{7}{8}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=\frac{3.6.7.8}{5.5.6.7}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=\frac{24}{25}+\frac{7}{8}+\frac{2}{5}+\frac{23}{35}=\frac{4049}{1400}\)
a) = \(\frac{23}{4}:3+\frac{9}{4}x\frac{1}{3}-\frac{3}{8}\)
= ....
(bn tự giải nhé, mk đã làm thành phân số cho bn r`)
b) tương tự như câu a nhé
nha bn
tìm X biết
\(a,\frac{3}{5}-x=0.2;b,\frac{x}{3}-\frac{1}{8}=\frac{5}{8};c,3\frac{1}{3}x-6\frac{3}{4}=3\frac{1}{4}\)
Cho:
\(A=40+\frac{3}{8}+\frac{7}{8^2}+\frac{5}{8^3}+\frac{32}{8^5}\)
\(B=\frac{24}{8^2}+40+\frac{5}{8^2}+\frac{40}{8^4}+\frac{5}{8^4}\)
Hãy so sánh A và B
cho A =\(40+\frac{3}{8}+\frac{7}{8^2}+\frac{5}{8^3}+\frac{32}{8^5}\)
B=\(\frac{24}{8^2}+40+\frac{5}{8^2}+\frac{40}{8^4}+\frac{5}{8^4}\)
So sánh A và B
Câu hỏi của ngo mai huong - Toán lớp 6 - Học toán với OnlineMath
Bạn tham khảo.