Giúp mình với!Rút gọn phân số hộ mình
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Ta có : \(\frac{a}{b}=\frac{3}{4}\)(1)
\(\frac{a+15}{b}=\frac{7}{6}\)
\(\Rightarrow\frac{a}{b}+\frac{15}{b}=\frac{7}{6}\)(2)
Thay (1) vào (2) ta có :
\(\frac{3}{4}+\frac{15}{b}=\frac{7}{6}\)
\(\Rightarrow\frac{15}{b}=\frac{7}{6}-\frac{3}{4}\)
\(\Rightarrow\frac{15}{b}=\frac{5}{12}\)
\(\Rightarrow5b=12.15\)
\(\Rightarrow b=12.15:5\)
\(\Rightarrow b=36\)
Thay b\(\Rightarrow a=27\) vào (1) ta có :
\(\frac{a}{b}=\frac{a}{36}=\frac{3}{4}\)
\(\Rightarrow4a=36.3\)
\(\Rightarrow a=36.3:4\)
\(\Rightarrow a=27\)
\(\Rightarrow\frac{a}{b}=\frac{27}{36}\)
\(\frac{20152015}{20302030}\)=\(\frac{2015x10001}{2030x10001}\)=\(\frac{2015}{2030}\)=\(\frac{403x5}{406x5}\)=\(\frac{403}{406}\)
\(\dfrac{9}{36}=\dfrac{9:9}{36:9}=\dfrac{1}{4}\)
\(\dfrac{30}{48}=\dfrac{30:6}{48:6}=\dfrac{5}{8}\)
\(\dfrac{72}{42}=\dfrac{72:6}{42:6}=\dfrac{12}{7}\)
\(\dfrac{9}{36}\) = \(\dfrac{1}{4}\)
\(\dfrac{30}{48}\) = \(\dfrac{5}{8}\)
\(\dfrac{72}{42}\) = \(\dfrac{12}{7}\)
\(a=7525-903=6622\)
Vậy phân số đó là:\(\dfrac{6622}{903}\)
Rýt gọn:\(\dfrac{6622}{903}=\dfrac{6622:301}{903:301}=\dfrac{22}{3}\)
\(a=7527-903=6624\)
Phân số đó là : \(\dfrac{6622}{903}\)
Ta có :
\(\dfrac{6622}{903}=\dfrac{6622\div301}{903\div301}=\dfrac{22}{3}\)
\(\dfrac{7.4^5.3^{11}+2^{15}.9^5}{6^{10}+2^{12}.3^{10}}\)
\(=\dfrac{7.\left(2^2\right)^5.3^{11}+2^{15}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}\)
\(=\dfrac{7.2^{10}.3^{11}+2^{15}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
\(=\dfrac{2^{10}.3^{10}\left(7.3+2^5\right)}{2^{10}.3^{10}\left(1+2^2\right)}\)
\(=\dfrac{7.3+2^5}{1+2^2}\)
\(=\dfrac{53}{5}\)