rút gọn :}
48/96
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\(\dfrac{5}{15}=\dfrac{5:5}{15:5}=\dfrac{1}{3}\\ \dfrac{28}{56}=\dfrac{28:28}{56:28}=\dfrac{1}{2}\\ \dfrac{48}{96}=\dfrac{48:48}{96:48}=\dfrac{1}{2}\\ \dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\\ \dfrac{60}{80}=\dfrac{60:20}{80:20}=\dfrac{3}{4}\)
\(\dfrac{6}{9}\) = \(\dfrac{6:3}{9:3}\) = \(\dfrac{2}{3}\) \(\dfrac{24}{36}\) = \(\dfrac{24:12}{36:12}\) = \(\dfrac{2}{3}\)
\(\dfrac{80}{240}\) = \(\dfrac{80:80}{240:80}\) = \(\dfrac{1}{3}\) \(\dfrac{75}{100}\) = \(\dfrac{75:25}{100:25}\) = \(\dfrac{3}{4}\)
\(\dfrac{123123}{103103}\) = \(\dfrac{123123:1001}{103013:1001}\) = \(\dfrac{123}{103}\)
\(\dfrac{2121}{3232}\) = \(\dfrac{2121:101}{3232:101}\) = \(\dfrac{21}{32}\)
a)
`6/9=2/3`
`6/24=1/4`
`48/96=1/2`
`42/98=3/7`
b)
`24/36=2/3`
`18/30=3/5`
`15/120=1/8`
`80/240=1/3`
a)\(\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\)
\(\dfrac{6}{24}=\dfrac{6:6}{24:6}=\dfrac{1}{4}\)
\(\dfrac{48}{96}=\dfrac{48:48}{96:48}=\dfrac{1}{2}\)
\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)
b)\(\dfrac{24}{36}=\dfrac{24:12}{36:12}=\dfrac{2}{3}\)
\(\dfrac{18}{30}=\dfrac{18:6}{30:6}=\dfrac{3}{5}\)
\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)
\(\dfrac{80}{240}=\dfrac{80:80}{240:80}=\dfrac{1}{3}\)
A=\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}\)= \(\frac{\left(2.7\right)^{16}.\left(3.7\right)^{32}.\left(5.7\right)^{48}}{\left(2.5\right)^{16}.\left(3.5\right)^{32}.7^{96}}\)= \(\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)= \(\frac{2^{16}.7^{96}.3^{32}.5^{48}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1
\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}=\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)
\(=\frac{2^{16}.\left(7^{16}.7^{32}.7^{48}\right).5^{48}.3^{32}}{2^{16}\left(5^{16}.5^{32}\right).3^{32}.7^{96}}=\frac{2^{16}.7^{96}.5^{48}.3^{32}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1
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