Rút gọn phân số:
a) 16. − 5 20.12
b) − 35 .3.10 14.15.6
c) 13.44 + 13 45
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\(a.-\dfrac{8}{12}=\dfrac{-2\cdot4}{4\cdot3}=-\dfrac{2}{3}\)
\(b.\dfrac{15}{-60}=\dfrac{15}{15\cdot-4}-\dfrac{1}{4}\)
\(c.\dfrac{-16}{-72}=\dfrac{-2\cdot8}{-9\cdot8}=\dfrac{2}{9}\)
\(d.\dfrac{35}{14\cdot15}=\dfrac{7\cdot5}{7\cdot2\cdot5\cdot3}=\dfrac{1}{6}\)
\(\dfrac{8}{12}\)=\(\dfrac{2}{31}\)
\(\dfrac{15}{-60}\)=\(\dfrac{-1}{4}\)
\(\dfrac{-16}{72}\)=\(\dfrac{-2}{9}\)
\(\dfrac{35}{14.15}=\dfrac{35}{210}=\dfrac{1}{6}\)
a) \(\dfrac{2}{10}=\dfrac{2:2}{10:2}=\dfrac{1}{5}\)
b) \(\dfrac{9}{6}=\dfrac{9:3}{6:3}=\dfrac{3}{2}\)
c) \(\dfrac{5}{20}=\dfrac{5:5}{20:5}=\dfrac{1}{4}\)
d) \(\dfrac{6}{16}=\dfrac{6:2}{16:2}=\dfrac{3}{8}\)
\(\dfrac{35}{210}=\dfrac{35:35}{210:35}=\dfrac{1}{6}\)
\(\dfrac{34}{68}=\dfrac{34:34}{68:34}=\dfrac{1}{2}\)
\(\dfrac{64}{720}=\dfrac{64:8}{720:8}=\dfrac{8}{90}\)
Lời giải:
$\frac{35}{210}=\frac{35}{35\times 6}=\frac{1}{6}$
$\frac{34}{68}=\frac{34}{34\times 2}=\frac{1}{2}$
$\frac{64}{720}=\frac{8\times 8}{8\times 90}=\frac{8}{90}=\frac{4\times 2}{2\times 45}=\frac{4}{45}$
\(\dfrac{-63}{72}=\dfrac{-7}{8}\)
\(\dfrac{20}{-140}=\dfrac{-1}{7}\)
\(\dfrac{3.10}{5.24}=\dfrac{30}{120}=\dfrac{1}{4}\)
\(\dfrac{3.7.11}{22.9}=\dfrac{231}{198}=\dfrac{7}{6}\)
\(\dfrac{8.5-8.2}{16}=\dfrac{24}{16}=\dfrac{3}{2}\)
\(\dfrac{11.4-11}{2-13}=\dfrac{33}{-11}=-3\)
\(\frac{2^{35}.9^{25}.5^{25}.13^{22}.7^{16}.5^{16}}{9^{26}.13^{22}5.^{22}.7^{17}.4^{17}.5^{2.9}}=2^{\left(35-2.17\right)}.9^{\left(25-26\right)}.5^{\left(25+16\right)-\left(22+2.9\right)}.13^{22-22}.7^{16-17}.\)
\(2^1.9^{-1}.5^1.13^0.7^{-1}=\frac{2.5}{9.7}=\frac{10}{63}\)
a: \(=\dfrac{2^{12}\cdot3^{14}}{3^{12}\cdot2^{12}}=3^2=9\)
b: \(=\dfrac{7^3\cdot2\cdot5^3}{5^2\cdot7^2\cdot6}=7\cdot5\cdot\dfrac{1}{3}=\dfrac{35}{3}\)
d: =2^5(2^8+1)/2^2(2^8+1)=2^3=8
c: \(=\dfrac{5^3\cdot3^6\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}=5^2\)
\(a,\dfrac{3}{9}=\dfrac{1}{3}\\ \dfrac{16 }{24}=\dfrac{2}{3}\\ b,\dfrac{17}{51}=\dfrac{1}{3}=\dfrac{5}{15}\\ \dfrac{18}{90}=\dfrac{1}{5}=\dfrac{3}{15}\\ c,\dfrac{5}{10}=\dfrac{1}{2}=\dfrac{3}{6}\\ \dfrac{15}{45}=\dfrac{1}{3}=\dfrac{2}{6}\\ d,\dfrac{42}{63}=\dfrac{2}{3}=\dfrac{6}{9}\\ \dfrac{64}{72}=\dfrac{8}{9}\)