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c) Các phân số được sắp xếp theo thứ tự từ lớn đến bé là:
A.\(\frac{5}{6};\frac{2}{3};\frac{4}{2}\)
B.\(\frac{4}{2};\frac{5}{6};\frac{2}{3}\)
C.\(\frac{2}{3};\frac{4}{2}:\frac{5}{6}\)
D.\(\frac{4}{2};\frac{2}{3};\frac{5}{6}\)
Khoanh B
1) \(\frac{4}{5}.\frac{8}{3}.\frac{x}{7}=\frac{96}{105}\)
\(\frac{32.x}{105}=\frac{96}{105}\)
\(32x=96\)
\(x=3\)
Bài 1: Tìm \(x\)
\(\frac45\times\frac83\times\) \(\frac{x}{7}\) = \(\frac{96}{105}\)
\(\frac{32}{15}\) x \(\frac{x}{7}\) = \(\frac{32}{35}\)
\(\frac{x}{7}\) = \(\frac{32}{35}\) : \(\frac{32}{15}\)
\(\frac{x}{7}\) = \(\frac{32}{35}\) x \(\frac{15}{32}\)
\(\frac{x}{7}\) = \(\frac37\)
\(x=\frac37\times7\)
\(x=3\)
b; \(\frac74\times\frac{3}{x}\times\) \(\frac{11}{5}\) = \(\frac{231}{200}\)
\(\frac74\) x \(\frac{3}{x}\) = \(\frac{231}{200}\) : \(\frac{11}{5}\)
\(\frac74\times\frac{3}{x}\) = \(\frac{231}{200}\) x \(\frac{5}{11}\)
\(\frac74\) x \(\frac{3}{x}\) = \(\frac{21}{40}\)
\(\frac{3}{x}\) = \(\frac{21}{40}\) : \(\frac74\)
\(\frac{3}{x}\) = \(\frac{21}{40}\) x \(\frac47\)
\(\frac{3}{x}\) = \(\frac{3}{10}\)
\(x=3:\frac{3}{10}\)
\(x=3\times\frac{3}{10}\)
\(x=10\)
\(\frac{12}{25}+\frac{3}{5}+\frac{13}{25}=\left(\frac{12}{25}+\frac{13}{25}\right)+\frac{3}{5}=1+\frac{3}{5}=\frac{8}{5}\)
\(\frac{3}{2}+\frac{2}{3}+\frac{4}{3}=\left(\frac{2}{3}+\frac{4}{3}\right)+\frac{3}{2}=2+\frac{3}{2}=\frac{7}{2}\)
\(\frac{3}{5}+\frac{7}{5}+\frac{3}{4}=\left(\frac{3}{5}+\frac{7}{5}\right)+\frac{3}{4}=2+\frac{3}{4}=\frac{11}{4}\)
\(\frac{3}{4}+\frac{2}{3}=\frac{9}{12}+\frac{8}{12}=\frac{17}{12}\)
\(\frac{9}{2}-4=\frac{9}{2}-\frac{8}{2}=\frac{1}{2}\)
\(\frac{4}{5}\times\frac{3}{2}=\frac{4\times3}{5\times2}=\frac{12}{10}=\frac{6}{5}\)
\(\frac{5}{6}:\frac{6}{5}=\frac{5}{6}\times\frac{5}{6}=\frac{25}{36}\)
\(3+\frac{2}{5}-\frac{3}{4}\times\frac{4}{5}\)
\(=3+\frac{2}{5}-\frac{3}{4}\)
\(=\frac{3\times20+2\times4-3\times5}{20}\)
\(=\frac{60+8-15}{20}\)
\(=\frac{68-15}{20}\)
\(=\frac{53}{20}\)
\(5-\frac{7}{9}+\frac{2}{3}-\frac{5}{6}:\frac{4}{9}\)
\(=5-\frac{7}{9}+\frac{2}{3}-\frac{45}{24}\)
\(=\frac{5\times72-7\times8+2\times24-45\times3}{72}\)
\(=\frac{360-56+48-135}{72}\)
\(=\frac{217}{72}\)
Bài 1:
a) \(\frac{3}{4}×\frac{4}{7}=\frac{3×4}{4×7}=\frac{3}{7}\)
\(\frac{12}{35}:\frac{3}{5}=\frac{12}{35}×\frac{5}{3}=\frac{12×5}{35×3}=\frac{4.}{7}\)
\(\frac{4}{7}×\frac{3}{5}=\frac{4×3}{7×5}=\frac{12}{35}\)
b) \(\frac{13}{11}×2=\frac{13×2}{11}=\frac{26}{11}\)
\(\frac{26}{11}:\frac{13}{11}=\frac{26}{11}×\frac{11}{13}=\frac{26×11}{11×13}=\frac{2×1}{1×1}=\frac{2}{1}=2\)
\(\frac{26}{11}:2=\frac{26}{11}×\frac{1}{2}=\frac{26×1}{11×2}=\frac{13×1}{11×1}=\frac{13}{11}\)
\(2×\frac{13}{11}=\frac{2×13}{11}=\frac{26}{11}\)
k giúp mik ✅
Bài 2:
a) \(\frac{4}{7}×\:x\:=\frac{1}{3}\)
\(\Rightarrow\)x = \(\frac{1}{3}-\frac{4}{7}\)
\(\Rightarrow\)x = \(\frac{7}{21}-\frac{4}{21}\)
\(\Rightarrow\)x = \(\frac{3}{21}=\frac{1}{7}\)
b) x : \(\frac{2}{5}=\frac{2}{9}\)
\(\Rightarrow\)x = \(\frac{2}{9}×\frac{2}{5}\)
\(\Rightarrow\)x = \(\frac{4}{45}\)