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a.
\(\left(1\frac{1}{4}+\frac{3}{5}\right):\left(-\frac{11}{12}\right)+\left(\frac{3}{8}-1\frac{2}{5}\right):\left(-\frac{11}{12}\right)\)
\(=\left(\frac{5}{4}+\frac{3}{5}+\frac{3}{8}-\frac{7}{5}\right):\left(-\frac{11}{12}\right)\)
\(=\left(\frac{13}{8}-\frac{4}{5}\right):\left(-\frac{11}{12}\right)\)
\(=\frac{33}{40}:\left(-\frac{11}{12}\right)\)
\(=\frac{33}{40}\cdot\left(-\frac{12}{11}\right)\)
\(=\frac{-9}{10}\)
b.
\(\left(\frac{3}{8}-1\frac{2}{5}\right):\left(-\frac{11}{15}\right)+\left(1\frac{1}{4}+\frac{3}{5}\right):\left(-\frac{11}{15}\right)\)
\(=\left(\frac{3}{8}-\frac{7}{5}+\frac{5}{4}+\frac{3}{5}\right):\left(-\frac{11}{15}\right)\)
\(=\left(\frac{13}{8}-\frac{4}{5}\right):\left(-\frac{11}{15}\right)\)
\(=\frac{33}{40}:\left(-\frac{11}{15}\right)\)
\(=\frac{33}{40}\cdot\left(-\frac{15}{11}\right)\)
\(=\frac{-9}{8}\)
Câu 1:
a. 3/4+1/8=6/8+1/8=7/8
x-5/7=3/5*1/2
x-5/7=3/10
x=3/10+5/7
x=61/70
b.4/5+3/10=8/10+3/10=11/10
x*2/3=8/8+3/4
x*2/3=7/4
x=7/4:2/3
x=21/8
Thế nha, bài này dài đó!!!! :))))
a) \(\dfrac{2}{5}\cdot\dfrac{1}{7}+\dfrac{2}{5}\cdot\dfrac{5}{7}+\dfrac{2}{5}\)
\(=\dfrac{2}{5}\left(\dfrac{1}{7}+\dfrac{5}{7}+1\right)\)
\(=\dfrac{2}{5}\cdot\dfrac{13}{7}=\dfrac{26}{35}\)
b) \(\dfrac{1}{5}+\dfrac{2}{8}+\dfrac{4}{5}+\dfrac{7}{8}-\dfrac{1}{8}\)
\(=\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\left(\dfrac{2}{8}+\dfrac{7}{8}-\dfrac{1}{8}\right)\)
\(=1+1=2\)
c)\(\dfrac{24}{36}\cdot\dfrac{10}{12}\cdot36\)
\(=\dfrac{24\cdot10\cdot36}{36\cdot12}=\dfrac{12\cdot2\cdot10\cdot36}{12\cdot36}\)
\(=2\cdot10=20\)
\(\left(\dfrac{1}{5}\right)^{25}\cdot\left(\dfrac{1}{5}\right)^{30}\)
\(=\left(\dfrac{1}{5}\right)^{25+30}\)
\(=\left(\dfrac{1}{5}\right)^{55}\)
\(\left(\dfrac{1}{16}\right)^3:\left(\dfrac{1}{8}\right)^2\)
\(=\left[\left(\dfrac{1}{2}\right)^4\right]^3:\left[\left(\dfrac{1}{2}\right)^3\right]^2\)
\(=\left(\dfrac{1}{2}\right)^{12}:\left(\dfrac{1}{2}\right)^6\)
\(=\left(\dfrac{1}{2}\right)^{12-6}=\left(\dfrac{1}{2}\right)^6\)
\(\left(x^3\right)^2:\left(x^2\right)^3\)
\(=x^{3\cdot2-2\cdot3}\)
\(=x^0=1\)
A=2/7+-3/8+11/7+1/3+1/7+5/-8
A=(2/7 + 1/7 + 11/7) + (-3/8 + 5/-8) + 1/3
A=2 + (-1) + 1/3
A=1 + 1/3
A=4/3
B=-3/8+12/25+5/-8+2/-5+13/25
B=(-3/8 + 5/-8) + (12/25 + 13/25) + 2/-5
B=-1 + 1 + 2/-5
B=-2/5
2. tuổi của mẹ là: 30: ( 7-2) x7= 42( tuổi)
tuổi của con là: 42- 30= 12 ( tuổi)
đáp số : 12 tuổi
42 tuổi
1/5 +8/5 = 9/5
5/12+2/3 =5/12+8/12 =13/12
3/4+5/6=9/12+10/12=19/12
5/6-3/5+1/3=25/30-18/30+10/30=17/30
2 x 3/5= 6/5
5/9 x 5 =25/9
3/7 : 7/9 = 3/7 x 9/7 = 27/49
2/7 : 8 x 2/3 =2/7 x 1/8 x 2/3 = 2/15 x 2/3 = 4 /45
Tuổi mẹ là 30 : ( 7 - 2 ) x 7= 42 ( tuổi )
Tuổi con là 42 -30 = 12 ( tuổi )
Nửa chu vi là 74 : 2 = 37 (cm )
Chiều dài là (37 + 12 ) :2 = 19.5 ( cm )
Chiều rộng là 37 - 19.5 = 17.5 ( cm)