Rút gọn phân số:
a)\(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\)
b)\(\frac{2^3.3^4}{2^2.3^2.5};\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\)
c)\(\frac{121.75.130.169}{39.60.11.198}\)
d)\(\frac{1998.1990+3978}{1992.1991-3984}\)
Rút gọn phân số sau: \(\frac{\left(2^{17}+5^{17}\right)\cdot\left(3^{14}-5^{12}\right)\cdot\left(2^4-4^2\right)}{15^2+5^3+67^7}\)
Tính:
A=\(\left(1-\frac{2}{3}+\frac{4}{3}\right)-\left(\frac{4}{5}-1\right)+\left(\frac{7}{5}+2\right)\)
B=\(\left(-3+\frac{3}{4}-\frac{1}{3}\right):\left(5+\frac{2}{5}-\frac{2}{3}\right)\)
C=\(\left(\frac{3}{5}-\frac{4}{15}\right).\left(\frac{2}{7}-\frac{3}{14}\right)-\left(\frac{5}{9}-\frac{7}{27}\right)\)\(.\left(1-\frac{3}{5}\right)+\left(1-\frac{11}{12}\right).\left(1+\frac{11}{12}\right)\)
D=\(\frac{\left(\frac{3}{10}-\frac{4}{15}-\frac{7}{20}\right).\frac{-5}{19}}{\left(\frac{1}{14}+\frac{1}{7}-\frac{-3}{35}\right).\frac{4}{3}}\)
thực hiện phép tính rồi rút gọn
A=\(\left(\frac{4}{9}+\frac{5}{6}\right):\left(\frac{7}{8}-\frac{7}{12}\right)\)
B=\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}...\frac{9999}{10000}\)
C=\(\left[3-\frac{1}{5}+\frac{3}{10}\right]:\left(2+\frac{1}{4}-\frac{3}{5}\right)\)
rút gọn các phân số sau
\(\dfrac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\)
\(\dfrac{2^2.2^3.5^7}{2^3.3^4.5^6}\)
\(\frac{103}{3090};\frac{7314}{-18126};\frac{23.5-23.8}{414};\frac{7}{10^2-8.10^2};\frac{-13.6+12.5}{6.\left(-7\right)-\left(-4\right).6};\frac{9^{14}.25^5.\left(-8\right)^7}{\left(-18\right)^{12}.625^3.\left(-24\right)^3}\) .Ai giúp minh bài rút gọn phản số này với .Các bạn trả lời rõ ra nhé
Rút gọn các biểu thức sau:
\(\frac{-5}{12}.\frac{2}{7}+\frac{7}{12}.\frac{-3}{14}\)
b) \(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\)
12)\(0,2.\frac{15}{36}-\left(\frac{2}{5}+\frac{2}{3}\right):1\frac{1}{5}\)
13)\(1\frac{13}{15}.0,75-\left(\frac{8}{15}+0,25\right).\frac{24}{27}\)
16)\(\frac{1}{2}+\frac{3}{4}-\left(\frac{3}{4}-\frac{4}{5}\right).\left(-2,75\right)\)
18)\(\left(\frac{7}{8}-\frac{3}{4}\right).1\frac{1}{3}-\frac{2}{7}.\left(3.5\right)^2\)
22)\(1\frac{13}{15}.0,75-\left(\frac{11}{20}+25\%\right):\frac{7}{3}\)
23)\(\frac{\left(\frac{2}{3}-0,75\right).\left(0,2-\frac{2}{5}\right)}{\frac{5}{9}-1\frac{1}{12}}\)
33)\(\left(25\%+\frac{1}{3}+0,75\right):\left(4\frac{3}{4}-3\frac{1}{2}\right)\)
35)\(\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)
Rút gọn các biểu thức sau :
a) \(A=\)\(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
b) \(B=\)\(\frac{\left(\frac{2}{3}\right)^3.\left(\frac{-3}{4}\right)^2.\left(-1\right)^5}{\left(\frac{2}{5}\right)^2.\left(\frac{-5}{12}\right)^3}\)