tính bằng cách thuận tiện
5 phần 9 nhân 8 phần 17 cộng 4 phần 9 nhân 8 phần 17
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\(\frac{5}{5}x\)\(\frac{17}{21}+\frac{17}{21}x\)\(\frac{2}{5}\)
=(\(\frac{5}{5}+\frac{2}{5}\)) x\(\frac{17}{21}\)
=\(\frac{7}{5}x\)\(\frac{17}{21}\)
\(\frac{119}{105}\)
a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)
a) 3/8 x 14/53 x 8/3
=3/8x8/3x14/53
= 1 x 14/53
=14/53
b) 9/17x1/5+9/17x4/5
=9/17x(1/5+4/5)
=9/17x 5/5
=9/17x1
= 9/17
Li-ke cho mik nhé!
A) cách 1\(\frac{9}{5}:\frac{17}{15}+\frac{8}{5}:\frac{17}{15}\)
\(=\frac{9}{5}\cdot\frac{15}{17}+\frac{8}{5}\cdot\frac{15}{17}\)
\(=\frac{135}{85}+\frac{120}{85}\)
\(=\frac{255}{85}\)
\(=3\)
Cách 2\(\frac{9}{5}:\frac{17}{15}+\frac{8}{5}:\frac{17}{15}\)
\(=\frac{9}{5}\cdot\frac{15}{17}+\frac{8}{5}\cdot\frac{15}{17}\)
\(=\frac{15}{17}\cdot\left(\frac{9}{5}+\frac{8}{5}\right)\)
=\(\frac{15}{17}\cdot\frac{17}{5}\)
\(=\frac{15\cdot17}{17\cdot5}\)
\(=\frac{5\cdot3\cdot17}{17\cdot5}\)
\(=3\)
B) Cách 1 :
0,9 : 0,25 + 1,05 : 0,25
= 3,6 + 4,2
=7,8
Cách 2:
0,9 : 0,25 + 1,05 : 0,25
\(=0,9:\frac{1}{4}+1,05:\frac{1}{4}\)
\(=0,9\cdot4+1,05\cdot4\)
\(=4\cdot\left(0,9+1,05\right)\)
\(=4\cdot1,95\)
=\(7,8\)
\(\frac{5}{9}\times\frac{8}{17}+\frac{4}{9}\times\frac{8}{17}\)
\(=\left(\frac{5}{9}+\frac{4}{9}\right)\times\frac{8}{17}\)
\(=1\times\frac{8}{17}\)
\(=\frac{8}{17}\)
\(\frac{5}{9}x\frac{8}{17}+\frac{4}{9}x\frac{8}{17}\)
\(=\frac{8}{17}x\left(\frac{5}{9}+\frac{4}{9}\right)\)
\(=\frac{8}{17}x\frac{9}{9}\)
\(=\frac{8}{17}x1\)
\(=\frac{8}{17}\)