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a,\(60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)\(=\frac{60\times7}{12}+\frac{60\times4}{15}\)
\(=\frac{12\times5\times7}{12}+\frac{15\times4\times4}{15}\)
\(=5\times7+4\times4\)
\(=35+16\)
\(=51\)
b, \(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{8}{9}\)\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
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\(\dfrac{4}{5}\times\left(\dfrac{5}{4}-\dfrac{5}{7}\right)\)
\(=\dfrac{4}{5}\times\left(\dfrac{35}{28}-\dfrac{20}{28}\right)\)
\(=\dfrac{4}{5}\times\dfrac{15}{28}\)
\(=\dfrac{3}{7}\)
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\(\dfrac{5}{8}\times\dfrac{9}{7}+\dfrac{5}{8}\times\dfrac{5}{7}\)
\(=\dfrac{5}{8}\times\left(\dfrac{9}{7}+\dfrac{5}{7}\right)\)
\(=\dfrac{5}{8}\times2=\dfrac{10}{8}=\dfrac{5}{4}\)
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\(\frac{9}{10}+\frac{7}{9}+\frac{5}{8}+\frac{3}{7}+\frac{3}{5}+\frac{2}{5}+\frac{4}{7}+\frac{3}{8}+\frac{2}{9}+\frac{1}{10}\)\(\frac{1}{10}\)
= ( 9/10 + 1/10 ) + ( 7/9 + 2/9 ) + ( 5/8 + 3/8 ) + ( 3/7 + 4/7 ) + ( 3/5 + 2/5 )
= 1 + 1 + 1 + 1 + 1
= 1 x 5
= 5
\(\left(\frac{9}{10}+\frac{1}{10}\right)+\left(\frac{7}{9}+\frac{2}{9}\right)+\left(\frac{5}{8}+\frac{3}{8}\right)+\left(\frac{3}{7}+\frac{4}{7}\right)+\left(\frac{3}{5}+\frac{2}{5}\right)\)2/5)
=1+1+1+1+1=5
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a) 4/5 x ( 5/4 - 5/7 )
= 4/5 x 15/28
= 21
b) 5/8 x 9/7 + 5/8 x 5/7
= 5/8 x ( 9/7 + 5/7 )
= 5/8 x 2
= 5/4
a, 4/5 x ( 5/4 - 5/7)
=(4/5 x 5/4)- (4/5-5/7)
=1-4/7
=3/7
b, 5/8 x 9/7 -5/8 x 5/7
=5/8 x (9/7 - 5/7 )
=5/8 x 4/7
=5/14
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a)=(3/4+3/12)+2/5
=1+2/15
=17/15
b)
(40/17-6/17)+(47/15-4/30)
=2+3=5
k cho minh
Tinh1 bằng cách thuận tiện nhất :
a ) 3/4 + 2/5 + 3/12
= 3/4 + 2/5 + 1/4
= ( 3/4 + 1/4 ) + 2/5
= 1 + 2/5
= 2/5
b ) 47/15 + 40/17 - 4/30 - 6/17
= 47/15 + 40/17 - 2/15 - 6/17
= ( 47/15 - 2/15 ) + ( 40/17 - 6/17 )
= 45/15 + 34 /17
= 3 + 2
= 5
tk mk nha
thấy thế nào , comment đi
yêu mọi người nhiều lắm !!!
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\(A=\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+\frac{1}{6\times7}+\frac{1}{7\times8}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)
\(=\frac{1}{2}-\frac{1}{8}\)
\(=\frac{3}{8}\)
Còn một câu hỏi nữa, làm sao để viết chữ phân số trong này thế?
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1
\(\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{5}{10}+\dfrac{7}{10}=\dfrac{12}{10}=\dfrac{6}{5}\)
\(\dfrac{8}{15}\times\dfrac{5}{12}=\dfrac{40}{180}=\dfrac{2}{9}\)
Baì 2
\(30\times\dfrac{5}{3}=50\)
\(\dfrac{6}{5}\times\dfrac{5}{3}=2\)
\(\dfrac{12}{40}\times\dfrac{5}{3}=\dfrac{1}{2}\)
\(\frac{6}{5}\)- \(\frac{5}{8}\)-\(\frac{3}{8}\)
= \(\frac{6}{5}\)- \(\left(\frac{5}{8}+\frac{3}{8}\right)\)
=\(\frac{6}{5}\)- \(\frac{8}{8}\)
=\(\frac{8}{40}\)
\(\frac{6}{5}\)\(-\) \(\frac{5}{8}\)\(-\) \(\frac{3}{8}\)
=\(\frac{6}{5}\)\(-\) \(\left(\frac{5}{8}-\frac{3}{8}\right)\)
= \(\frac{6}{5}\)\(-\)\(\frac{1}{4}\)
= \(\frac{24}{20}\)\(-\)\(\frac{5}{20}\)
= \(\frac{19}{20}\)