Tính bằng cách thuận tiện:
a, 7/9 x 13/25 x 9/7
b, 5/9 x 21/25 + 21/25 x 4/9
c, 19/5 x 11/16 - 9/5 x 11/16
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a) Ta có: \(\dfrac{21}{25}\cdot\dfrac{11}{9}\cdot\dfrac{5}{7}\)
\(=\dfrac{21\cdot11\cdot5}{25\cdot9\cdot7}\)
\(=\dfrac{3\cdot7\cdot11\cdot5}{5\cdot5\cdot3\cdot3\cdot7}\)
\(=\dfrac{11}{5\cdot3}=\dfrac{11}{15}\)
11/15 + 8/5= Tính phân số
6/7 - 5/21=
25/4 x 16/100
7 x 2/49 =
4/3 : 2/9
5/8 : 25 =
\(1/\)
\(\frac{12}{49}:\frac{16}{21}\)
\(=\frac{12}{49}\times\frac{21}{16}\)
\(=\frac{12\times21}{49\times16}\)
\(=\frac{252}{784}=\frac{9}{28}\)
\(2/\)
\(a,\frac{5}{11}-\left(\frac{39}{61}+\frac{12}{61}\right)\)
\(=\frac{5}{11}-\frac{51}{61}\)
\(=-\frac{256}{671}\)
\(b,\frac{17}{12}+\frac{9}{7}-\left(\frac{2}{7}-\frac{7}{12}\right)\)
\(=\frac{17}{12}+\frac{9}{7}-\frac{2}{7}+\frac{7}{12}\)
\(=\left(\frac{17}{12}+\frac{7}{12}\right)+\left(\frac{9}{7}-\frac{2}{7}\right)\)
\(=2+1\)
\(=3\)
\(c,\frac{16}{17}\times\frac{12}{19}+\frac{16}{17}\times\frac{7}{19}\)
\(=\frac{16}{17}\times\left(\frac{12}{19}+\frac{7}{19}\right)\)
\(=\frac{16}{17}\times1\)
\(=\frac{16}{17}\)
\(3/\)
\(a,x:\frac{4}{5}=\frac{25}{8}:\frac{5}{4}\)
\(x:\frac{4}{5}=\frac{5}{2}\)
\(x=2\)
\(b,\frac{22}{5}:x=\frac{44}{5}:\frac{5}{2}\)
\(\frac{22}{5}:x=\frac{88}{25}\)
\(x=\frac{5}{4}\)
\(c,x\times\frac{4}{9}\times\frac{15}{18}=\frac{25}{18}\)
\(x\times\frac{4}{9}=\frac{5}{3}\)
\(x=\frac{15}{4}\)
a, = \(\frac{11}{21}\)x \(\left(\frac{7}{4}+\frac{5}{4}\right)\)
= \(\frac{11}{21}\)x 3
= \(\frac{33}{21}\)
b) = \(\left(\frac{23}{14}-\frac{9}{14}\right)\)x \(\frac{6}{13}\)
= 1 x \(\frac{6}{13}\)
= \(\frac{6}{13}\)
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Bài 2:
Sau 2 giờ con ốc sên bò được:
1/5+1/6=11/30(cây cột)
Sau 2 giờ thì con ốc sên còn phải bò:
1-11/30=19/30(cây cột)
a) \(\dfrac{7}{9}\times\dfrac{13}{25}\times\dfrac{9}{7}=\left(\dfrac{7}{9}\times\dfrac{9}{7}\right)\times\dfrac{13}{25}=1\times\dfrac{13}{25}=\dfrac{13}{25}\)
b) \(\dfrac{5}{9}\times\dfrac{21}{25}+\dfrac{21}{25}\times\dfrac{4}{9}\)
\(=\dfrac{21}{25}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\)
\(=\dfrac{21}{25}\times1=\dfrac{21}{25}\)
c) \(\dfrac{19}{5}\times\dfrac{11}{16}-\dfrac{9}{5}\times\dfrac{11}{16}\)
\(=\dfrac{11}{16}\times\left(\dfrac{19}{5}-\dfrac{9}{5}\right)\)
\(=\dfrac{11}{16}\times2=\dfrac{22}{16}=\dfrac{11}{8}\)