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RÚT GỌN VỀ PHÂN SỐ TỐI GIẢN
câu a) \(\dfrac{-147}{252}=\dfrac{-7}{12}\)
câu b) \(\dfrac{765}{900}=\dfrac{17}{20}\)
câu c) \(\dfrac{11\cdot3-11\cdot8}{17-6}=\dfrac{-5}{1}\)
câu d) \(\dfrac{3^5\times2^4}{8\times3^6}=\dfrac{2}{3}\)
câu e) \(\dfrac{84\cdot45}{49\cdot54}=\dfrac{10}{7}\)
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) \(\frac{16.29-32}{16.37+32}=\frac{16.29-16.2}{16.37+2.16}=\frac{16.\left(29-2\right)}{16.\left(37+2\right)}=\frac{27}{39}=\frac{9}{13}\)
Câu 1: 2.10/5.6=2.5.2/5.2.3=1/3
Câu 2: 35.24/8.36=35.24/23.22.32=35.24/25.32=33/2=27/2
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\(\dfrac{3.17.11}{22.9}=\dfrac{17}{6}\)
\(\dfrac{84.45}{49.54}=\dfrac{10}{7}\)
\(\dfrac{4.7.22}{33.14}=\dfrac{4}{3}\)
\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{899}{900}\)
\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{29.31}{30.30}\)
\(=\frac{1.2.3....29}{2.3.4....30}.\frac{3.4.5....31}{2.3.4....30}\)
\(=\frac{1}{30}.\frac{31}{2}=\frac{31}{60}\)
A=3/4x8/9x15/16x24/25x...x899/900
A=1.3/22 x 2.4/33 x 3.5/42 x 4.6/55 x ... x 29.31/302
A=1.2.3.4...29/2.3.4.5...30 x 3.4.5.6...31/2.3.4.5...30
A=1/30 x 31/2
A=31/60
a)\(\frac{765}{900}\)
\(=\frac{5.9.17}{5.9.20}=\frac{17}{20}\)
b)\(\frac{3^5.2^4}{8.36}\)
\(=\frac{3^5.2^4}{2^3.3^6}=\frac{2}{3}\)
c)\(\frac{84.45}{49.54}\)
\(=\frac{7.12.5.9}{7.7.6.9}=\frac{7.6.2.5.9}{7.7.6.9}=\frac{10}{7}\)