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\(\frac{5}{3}\cdot\frac{4}{7}\cdot\frac{3}{5}\cdot\frac{7}{8}\)
\(=\frac{1}{2}\)
128.72 + 14.256
= 128.72 + 14.2.128
= 128.(72 + 14.2)
= 128.100
= 12800
\(\frac{5}{3}\cdot\frac{4}{7}\cdot\frac{3}{5}\cdot\frac{7}{8}\)
\(=\left(\frac{5}{3}\cdot\frac{3}{5}\right)\cdot\left(\frac{4}{7}\cdot\frac{7}{8}\right)\)
\(=1\cdot\frac{1}{2}\)
\(=\frac{1}{2}\)
\(128\cdot72+14\cdot256\)
\(=128\cdot2\cdot36+14\cdot256\)
\(=256\cdot36+14\cdot256\)
\(=256\cdot\left(36+14\right)\)
\(=256\cdot50\)
\(=12800\)
Học tốt #
a) \(x\cdot\frac{1}{2}+x\cdot\frac{1}{4}+x\cdot\frac{1}{8}=\frac{21}{24}\)
\(x\cdot\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}\right)=\frac{7}{8}\)
\(x\cdot\frac{7}{8}=\frac{7}{8}\)
\(\Rightarrow x=\frac{7}{8}\div\frac{7}{8}=1\)
b) \(\left(x+4\right)+\left(x+9\right)+\left(x+14\right)+.....+\left(x+44\right)+\left(x+49\right)=1430\)
\(\left(x+x+x+....+x+x\right)+\left(4+9+14+...+44+49\right)=1430\)
\(10x+265=1430\)
\(10x=1430-265\)
\(10x=1165\)
\(\Rightarrow x=\frac{1165}{10}=116,5\)
c) \(x\cdot0,25-0,5=1\)
\(x\cdot0,25=1+0,5\)
\(x\cdot0,25=1,5\)
\(\Rightarrow x=1,5\div0,25=6\)
Đặt \(A=\frac{4}{3}\cdot\frac{4}{7}+\frac{4}{7}\cdot\frac{4}{11}+...+\frac{4}{95}\cdot\frac{4}{99}\)
\(A=\frac{16}{21}+\frac{16}{77}+...+\frac{16}{9405}\)
\(A=\frac{16}{3\cdot7}+\frac{16}{7\cdot11}+....+\frac{16}{95\cdot99}\)
\(A=\frac{16}{4}\cdot\left(\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{95}-\frac{1}{99}\right)\)
\(A=4\cdot\left(\frac{1}{3}\cdot\frac{1}{99}\right)=4\cdot\frac{32}{99}=\frac{128}{99}\)
\(\frac{4.5.6}{14.15.16}\)=\(\frac{1.1.3}{7.3.4}\)=\(\frac{1.1.1}{7.1.4}\)=\(\frac{1}{28}\)
=) \(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.....\frac{255}{256}.x=\frac{108}{7}\)
=) \(\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{15.17}{16.16}.x=\frac{108}{7}\)
=) \(\frac{1.2.3.4.....15}{2.3.4.....16}.\frac{3.4.5.....17}{2.3.4.....16}.x=\frac{108}{7}\)
=) \(\frac{1}{16}.\frac{17}{2}.x=\frac{108}{7}\)=) \(\frac{17}{32}.x=\frac{108}{7}\)=) \(x=\frac{108}{7}:\frac{17}{32}\)
=) \(x=\frac{3456}{119}\)
Câu b:
\(\frac{21}{8}:\frac{5}{6}+\frac{1}{2}:\frac{5}{6}\)
= \(\frac{63}{20}+\frac{3}{5}\)
= \(\frac{15}{4}\)
\(\left(\frac{21}{8}+\frac{1}{2}\right):\frac{5}{6}\)
\(\frac{25}{8}:\frac{5}{6}\)
\(\frac{25}{8}.\frac{6}{5}\)
\(\frac{30}{8}\)
\(\frac{9}{14}.y=\frac{7.4}{14.7}\)
\(\frac{9}{14}.y=\frac{1.2}{7.1}\)
\(\frac{9}{14}.y=\frac{2}{7}\)
\(y=\frac{2}{7}:\frac{9}{14}=\frac{2}{7}.\frac{14}{9}\)
\(y=\frac{2.2}{1.9}=\frac{4}{9}\)
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Ta có : \(\frac{9}{14}y=\frac{7}{14}.\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}y=\frac{2}{7}\)
\(\Rightarrow y=\frac{2}{7}.\frac{14}{9}\)
\(\Rightarrow y=\frac{4}{9}\)