tính bằng cách thuận tiện nhất:
a) 2/3 + 7/12 x 3/5 b)3/22 x 3/11 x 22
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a, \(\dfrac{5\times11\times15\times18}{6\times15\times22\times10}\)
= \(\dfrac{5\times11\times15\times6\times3}{6\times15\times11\times2\times2\times5}\)
= \(\dfrac{5\times11\times15\times6}{5\times11\times15\times6}\) \(\times\) \(\dfrac{3}{2\times2}\)
= 1 \(\times\) \(\dfrac{3}{4}\)
= \(\dfrac{3}{4}\)
b, \(\dfrac{7}{12}\) \(\times\) \(\dfrac{3}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{5}{12}\)
= \(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{7}{12}+\dfrac{5}{12}\))
= \(\dfrac{3}{5}\) \(\times\) \(\dfrac{12}{12}\)
= \(\dfrac{3}{5}\) \(\times\) 1
= \(\dfrac{3}{5}\)
a: \(=\dfrac{21}{11}+\dfrac{12}{11}+\left(-\dfrac{9}{19}-\dfrac{3}{19}-\dfrac{6}{19}\right)=3-\dfrac{18}{19}=\dfrac{39}{19}\)
b: \(=\dfrac{2}{3}+\dfrac{4}{3}+\dfrac{3}{4}+\dfrac{7}{4}+\dfrac{4}{5}+\dfrac{16}{5}=2+4+\dfrac{5}{2}=6+\dfrac{5}{2}=\dfrac{17}{2}\)
Bài 1 : Tính bằng cách thuận tiện
A = 3/13 x 5/7 + 2/13 x 3/7
= 2/13 + 1/13 x 5/7 + 2/13 x 3/7
= 2/13 x 72/91 + 2/13 x 3/7
= 2/13 x ( 72/91 + 3/7 )
= 2/13 x 37/24
= 37/156.
B = 21/22 x 17/8 + 21/8 x 7/22
= 21/22 x 17/8 + 17/8 + 4/8 x 7/22
= 21/22 x 17/8 + 17/8 x 7/44
= ( 21/22 + 7/44 ) x 21/22
= 31/44 x 21/22
= 651/968.
Chúc bạn học tốt!!!
1a) \(\frac{10}{11}:\frac{11}{3}=\frac{10}{11}.\frac{3}{11}=\frac{30}{121}\)
b) \(3,42:0,75.8,4-6,8\)
\(=4,56.8,4-6,8=38,304-6,8=31,504\)
2a) \(\frac{21}{11}.\frac{22}{17}.\frac{68}{63}=\frac{21.22.68}{11.17.63}=\frac{7.3.2.11.17.4}{11.17.3.3.7}=\frac{2.4}{3}=\frac{8}{3}\)
b) \(\frac{5}{14}.\frac{7}{13}.\frac{26}{25}=\frac{5.7.26}{14.13.25}=\frac{5.7.13.2}{2.7.13.5.5}=\frac{1}{5}\)
\(\frac{10}{11}:1\frac{1}{3}\)
\(=\frac{10}{11}:\frac{4}{3}\)
\(=\frac{10}{11}\cdot\frac{3}{4}\)
\(=\frac{15}{22}\)
\(3,42:0,57\cdot8,4-6,8\)
\(=6\cdot8,4-6,8\)
\(=50,4-6,8\)
\(43,6\)
2.
\(\frac{21}{11}\cdot\frac{22}{17}\cdot\frac{68}{63}\)
\(=\frac{21\cdot22\cdot68}{11\cdot17\cdot63}\)
\(=\frac{21\cdot11\cdot2\cdot17\cdot4}{11\cdot17\cdot21\cdot3}\)
\(=\frac{̸21\cdot̸11\cdot2\cdot̸17\cdot4}{̸11\cdot̸17\cdot̸21\cdot3}\)
\(=\frac{8}{3}\)
\(\frac{5}{14}\cdot\frac{7}{13}\cdot\frac{26}{25}\)
\(=\frac{5\cdot7\cdot26}{14\cdot13\cdot25}\)
\(=\frac{̸5\cdot̸7\cdot̸13\cdot2}{̸7\cdot2\cdot̸13\cdot̸5\cdot5}\)
\(=\frac{2}{10}\)
a: =13/26*9/18*2/3=2/3*1/4=2/12=1/6
b: =44/22*5/15*3/2=2*1/3*3/2=2*1/2=1
a) \(\frac{13}{18}\times\frac{9}{26}\times\frac{2}{3}=\left(\frac{13}{18}\times\frac{9}{26}\right)\times\frac{2}{3}=\frac{1}{4}\times\frac{2}{3}=\frac{1}{6}\)
b) \(\frac{44}{15}\times\frac{5}{22}\times\frac{3}{2}=\left(\frac{44}{15}\times\frac{5}{22}\right)\times\frac{3}{2}=\frac{2}{3}\times\frac{3}{2}=1\)
Đáp số : a) \(\frac{1}{6}\); b)1
a)13/18 x 9/26 x 2/3
=13/18*3/13*2/3
=(13/18*3/13)*2/3
=1/4*2/3
=1/6
b) 44/15 x 5/22 x 3/2
=(44/15*5/22)*3/2
=2/3*3/2
=1
cho mik đúng ik