Rút gọn các phân số sau :
32.24
8.32
b. 84.45
49.54
c,36.10.21
23.63.35
d,16.29-32
16.37+32
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\(y=\frac{16.29-32}{16.37+32}=\frac{9}{13}\)
vậy y = \(\frac{9}{13}\)
t i ck nha!! 6546576876876976
\(\frac{16.29-32}{16.37+32}\)
\(=\frac{16.29-16.2}{16.37+16.2}\)
\(=\frac{16\left(29-2\right)}{16\left(37+2\right)}\)
\(=\frac{16.27}{16.39}\)
\(=\frac{27}{39}=\frac{9}{13}\)
\(=\dfrac{16\cdot30-30-16}{16\cdot37+16\cdot2}=\dfrac{30\left(16-1\right)-16}{16\cdot39}\)
\(=\dfrac{30\cdot15-16}{16\cdot39}=\dfrac{434}{16\cdot39}=\dfrac{217}{312}\)
Ta có:
\(\begin{array}{l}\frac{{24}}{{108}} = \frac{{24:12}}{{108:12}} = \frac{2}{9};\\\frac{{80}}{{32}} = \frac{{80:16}}{{32:16}} = \frac{5}{2}\end{array}\)
\(\dfrac{24}{32}=\dfrac{24:8}{32:8}=\dfrac{3}{4}\)
\(\dfrac{45}{6}=\dfrac{45:3}{6:3}=\dfrac{15}{2}\)
\(\dfrac{75}{100}=\dfrac{75:25}{100:25}=\dfrac{3}{4}\)
\(\dfrac{27}{63}=\dfrac{27:9}{63:9}=\dfrac{3}{7}\)
\(\dfrac{24}{32}=\dfrac{24:8}{32:8}=\dfrac{3}{4}\)
\(\dfrac{75}{100}=\dfrac{75:25}{100:25}=\dfrac{3}{4}\)
\(\dfrac{45}{60}=\dfrac{45:15}{60:15}=\dfrac{3}{4}\)
\(\dfrac{27}{63}=\dfrac{27:9}{63:9}=\dfrac{3}{7}\)
\(\dfrac{90}{120}=\dfrac{30.3}{30.4}=\dfrac{3}{4}\)
\(\dfrac{15}{25}=\dfrac{5.3}{5.5}=\dfrac{3}{5}\)
\(\dfrac{18}{45}=\dfrac{9.2}{9.5}=\dfrac{2}{5}\)
\(\dfrac{36}{64}=\dfrac{4.9}{4.16}=\dfrac{9}{16}\)
\(\dfrac{32}{72}=\dfrac{8.4}{8.9}=\dfrac{4}{9}\)
\(\dfrac{84}{49}=\dfrac{7.12}{7.7}=\dfrac{12}{7}\)
\(\dfrac{90}{120}=\dfrac{3}{4};\dfrac{15}{25}=\dfrac{3}{5};\dfrac{18}{45}=\dfrac{2}{5};\dfrac{36}{64}=\dfrac{9}{16};\dfrac{32}{72}=\dfrac{4}{9};\dfrac{84}{49}=\dfrac{12}{7}\)
a) \(\frac{3^2.2^4}{8.3^2}=\frac{3^2.2^4}{2^3.3^2}=2\)
b)\(\frac{84.45}{49.54}=\frac{2^2.7.3^3.5}{7^2.2.3^3}=\frac{10}{7}\)
c) \(\frac{36.10.21}{2^3.63.35}=\frac{2^3.3^3.5.7}{2^3.3^2.5.7^2}=\frac{3}{7}\)
d) \(\frac{16.29-32}{16.37+32}=\frac{16.29-16.2}{16.37+2.16}=\frac{16.\left(29-2\right)}{16.\left(37+2\right)}=\frac{27}{39}=\frac{9}{13}\)
32.24
= 32.22.22
= 62.22
= 122