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a, \(\frac{6}{7}.\frac{16}{15}.\frac{7}{6}.\frac{21}{32}=\frac{6}{7}.\frac{7}{6}.\frac{16}{15}.\frac{21}{32}\)=\(1.\frac{16}{15}.\frac{21}{32}=\frac{7}{5.2}=\frac{7}{10}\)
Phần b T2
c,\(\frac{7}{4}.\frac{11}{21}+\frac{11}{21}.\frac{5}{4}=\frac{11}{21}.\left(\frac{7}{4}+\frac{5}{4}\right)\)=\(\frac{11}{21}.3=\frac{11}{7}\)
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=(1+1+1+1+1+1+1+1)+(1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45)
Đặt A = 1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45
Ta có:
A x 1/2= 1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
1/6=1/2x3=1/2-1/3
1/12=1/3x4=1/3-1/4
……………………
1/90=1/9x10=1/9-1/10
A x 1/2=1/2-1/3+1/3-1/4+1/4-1/5+…+1/9-1/10
A x 1/2=1/2-1/10=4/10
A=4/10:1/2=4/5
Vậy 4/3+7/6+11/10+16/15+22/21+29/28+37/36+46/45=1+1+1+1+1+1+1+1+4/5=8+4/5=44/5
\(\frac{4}{3}+\frac{7}{6}+\frac{11}{10}+...+\frac{46}{45}\)
\(=1+\frac{1}{3}+1+\frac{1}{6}+1+\frac{1}{10}+...+1+\frac{1}{45}\)
\(=\left(1+1+1+...+1\right)+\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\right)\)(8 chữ số 1)
\(=8+\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\right)\)
Đặt A = \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\)
=> \(\frac{1}{2}\)A = \(\frac{1}{2}\times\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\right)\)
= \(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}=\frac{2}{5}\)
Vậy A = \(\frac{2}{5}:\frac{1}{2}=\frac{4}{5}\)
Do đó biểu thức trên là 8 + \(\frac{4}{5}\) = \(\frac{44}{5}\)
Đáp số: \(\frac{44}{5}\)
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a, x=12
b, x=10
c, x=8
Chúc bạn học giỏi nha!!!
K cho mk vs nhé hà phương lenguyen
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\(\frac{5}{12}-\frac{7}{32}:\frac{21}{16}=\frac{5}{12}-\frac{7}{32}\times\frac{16}{21}=\frac{5}{12}-\frac{112}{672}=\frac{5}{12}-\frac{2}{12}=\frac{3}{12}=\frac{1}{4}\)
\(\frac{5}{12}-\frac{7}{32}:\frac{21}{16}\)
= \(\frac{5}{12}-\frac{1}{6}\)
= \(\frac{1}{4}\)
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TL
4/16+1/4=1/4+14=2/4=1/2
b) 15/25+6/10=3/5+3/5=6/5
c)5/9+21/27=5/9+7/9=4/3
HT
\(a)\) \(\dfrac{4}{16} + \dfrac{1}{4} = \dfrac{1}{4}+ \dfrac{1}{4} = \dfrac{2}{4} = \dfrac{1}{2} \)
\(b) \dfrac{15}{25} + + \dfrac{6}{10} = \dfrac{3}{5} + \dfrac{3}{5} =\dfrac{6}{5} \)
\(c) \dfrac{5}{9} + \dfrac{21}{27} = \dfrac{5}{9} + \dfrac{7}{9} = \dfrac{12}{9} = \dfrac{4}{3}\)
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tổng số tiền quỹ nhận được trong ba ngày là :
\(25\text{ }200\text{ }000+52\text{ }850\text{ }000+21\text{ }800\text{ }000=99\text{ }850\text{ }000\text{ đồng}\)
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2 phân số đầu là phân số tối giản, phân số cuối rút gọn thành 2/7.
k mik nhé
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4200:21+16800:21
=(4200+16800):21
=21000:21
=1000
1 jack