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a)\(\frac{4}{5}\times\frac{8}{3}\times\frac{x}{7}=\frac{96}{105}\)
\(\frac{x}{7}=\frac{96}{105}:\frac{4}{5}:\frac{8}{3}=\frac{3}{7}\)
\(x=3\)
b) \(\frac{7}{4}\times\frac{3}{x}\times\frac{11}{5}=\frac{231}{200}\)
\(\frac{3}{x}=\frac{231}{200}:\frac{7}{4}:\frac{11}{5}=\frac{3}{10}\)
\(x=10\)
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5km2 400m2 = 5400m2
18000000m2 = 18km2
\(\dfrac{5}{4}< \dfrac{3}{4}\)
\(\dfrac{5}{6}< \dfrac{6}{5}\)
\(\dfrac{6}{8}=\dfrac{3}{4}\)
\(\dfrac{7}{3}>\dfrac{7}{5}\)
\(\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{5}{15}=\dfrac{1}{3}\)
\(\dfrac{7}{14}=\dfrac{1}{2}\)
\(\dfrac{6}{24}=\dfrac{1}{4}\)
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a: 5/6+1/2=5/6+3/6=8/6=4/3
b: 7/8+1/4=7/8+2/8=9/8
c: 5/9+3/7=35/63+27/63=62/63
\(a,\dfrac{5}{6}+\dfrac{1}{2}=\dfrac{4}{3}\\ b,\dfrac{7}{8}+\dfrac{1}{4}=\dfrac{9}{8}\\ c,\dfrac{5}{9}+\dfrac{3}{7}=\dfrac{62}{63}\)
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a: \(\dfrac{5}{3}\cdot\dfrac{7}{10}=\dfrac{5}{10}\cdot\dfrac{7}{3}=\dfrac{14}{3}>2\)
\(\dfrac{5}{7}:\dfrac{7}{10}=\dfrac{5}{7}\cdot\dfrac{10}{7}=\dfrac{50}{49}< 2\)
=>\(\dfrac{5}{3}\cdot\dfrac{7}{10}>\dfrac{5}{7}:\dfrac{7}{10}\)
b: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{8}{9}:\dfrac{4}{3}=\dfrac{8}{9}\cdot\dfrac{3}{4}=\dfrac{8}{4}\cdot\dfrac{3}{9}=\dfrac{2}{3}\)
Do đó: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{8}{9}:\dfrac{4}{3}\)
c: \(\dfrac{5}{11}\cdot\dfrac{33}{15}=\dfrac{5}{15}\cdot\dfrac{33}{11}=\dfrac{3}{3}=1\)
\(\dfrac{6}{17}\cdot\dfrac{34}{25}=\dfrac{34}{17}\cdot\dfrac{6}{25}=2\cdot\dfrac{6}{25}=\dfrac{12}{25}< 1\)
=>\(\dfrac{5}{11}\cdot\dfrac{33}{15}>\dfrac{6}{17}\cdot\dfrac{34}{25}\)
d: \(\dfrac{15}{19}\cdot\dfrac{38}{5}=\dfrac{15}{5}\cdot\dfrac{38}{19}=3\cdot2=6\)
\(\dfrac{15}{16}:\dfrac{3}{8}=\dfrac{15}{16}\cdot\dfrac{8}{3}=\dfrac{15}{3}\cdot\dfrac{8}{16}=\dfrac{5}{2}\)<6
=>\(\dfrac{15}{19}\cdot\dfrac{38}{5}>\dfrac{15}{16}:\dfrac{3}{8}\)
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2:
a: x-5/6=2/3
=>x=2/3+5/6=9/6=3/2
b: x*2/3=7/3
=>2x=7
=>x=7/2
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