B = \(5\frac{1}{2}-14\frac{3}{7}:\frac{9}{13}-3\frac{4}{7}:\frac{9}{13}\)
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= \(\frac{11}{2}\)- \(\frac{101}{7}\): \(\frac{9}{13}\)- \(\frac{25}{7}\): \(\frac{9}{13}\)
= \(\frac{-41}{2}\)
(chỉ cần sử dụng máy tính cầm tay là có thể giải được)
hãy tìm ba phân số lớn hơn \(\frac{1}{3}\)và nhỏ hơn\(\frac{1}{2}\)sau đó hãy tính tổng ba phân số vừa tìm được ở trên.
\(\left(1+2\frac{1}{4}-3\frac{1}{3}\right):\left(1+3\frac{1}{2}-4\frac{7}{12}\right)\)
\(=\left(1+2-3+\frac{1}{4}-\frac{1}{3}\right):\left(1+3-4+\frac{1}{2}-\frac{7}{12}\right)\)
\(=\frac{-1}{12}:\frac{-1}{12}=\frac{-1}{12}.\frac{12}{-1}=\frac{12}{12}=1\)
a. (1 + \(2\frac{1}{4}\) - \(3\frac{1}{3}\)) : (1 + \(3\frac{1}{2}\) - \(4\frac{7}{12}\))
= \(-\frac{1}{12}\): ( \(-\frac{1}{12}\))
= 1
b. \(5\frac{1}{2}\)- \(14\frac{3}{7}\) : \(\frac{9}{13}\)- \(3\frac{4}{7}\) : \(\frac{9}{13}\)
= \(\frac{11}{2}\)+ (\(14\frac{3}{7}-3\frac{4}{7}\)) : \(\frac{9}{13}\)
= \(\frac{11}{2}\)- 26
= \(-\frac{41}{2}\)
1. \(\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{9}{13}-\frac{5}{9}.\frac{3}{13}\)
= \(\frac{5}{9}\) .(\(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\) )
= \(\frac{5}{9}\) . 1 = \(\frac{5}{9}\)
\(a,\frac{7}{12}\cdot\frac{6}{11}+\frac{7}{12}\cdot\frac{5}{11}+2\frac{7}{12}\)
\(=\frac{7}{12}\cdot\left(\frac{6}{11}+\frac{5}{11}\right)+2\frac{7}{12}\)
\(=\frac{7}{12}+\frac{31}{12}\)
\(=\frac{38}{12}=\frac{19}{6}\)
\(b,\frac{-5}{9}\cdot\frac{-6}{13}+\frac{5}{-9}\cdot\frac{-5}{13}-\frac{5}{9}\)
\(=\frac{-5}{9}\cdot\frac{-6}{13}+\frac{-5}{9}\cdot\frac{-5}{13}+\frac{-5}{9}\cdot1\)
\(=\frac{-5}{9}\cdot\left(\frac{-6}{13}+\frac{-5}{13}+1\right)\)
\(=\frac{-5}{9}\cdot\left(\frac{-11}{13}+1\right)\)
\(=\frac{-5}{9}\cdot\frac{2}{13}\)
\(=\frac{-10}{117}\)
\(c,\)\(0,8\cdot\frac{-15}{14}-\frac{4}{5}\cdot\frac{13}{14}-1\frac{2}{5}\)
\(=\frac{4}{5}\cdot\frac{-15}{14}-\frac{4}{5}\cdot\frac{13}{14}-\frac{7}{5}\)
\(=\frac{4}{5}\cdot\left(\frac{-15}{14}-\frac{13}{14}\right)-\frac{7}{5}\)
\(=\frac{4}{5}\cdot\left(-2\right)-\frac{7}{5}\)
\(=\frac{-8}{5}-\frac{7}{5}\)
\(=-3\)
\(d,\)\(75\%\cdot\frac{6}{7}+5\%\cdot\frac{6}{7}+\frac{7}{10}\cdot1\frac{1}{7}\)
\(=\frac{3}{4}\cdot\frac{6}{7}+\frac{1}{20}\cdot\frac{6}{7}+\frac{7}{10}\cdot\frac{8}{7}\)
\(=\left(\frac{3}{4}+\frac{1}{20}\right)\cdot\frac{6}{7}+\frac{7}{10}\cdot\frac{8}{7}\)
\(=\frac{4}{5}\cdot\frac{6}{7}+\frac{4}{5}\cdot1\)
\(=\frac{4}{5}\cdot\left(\frac{6}{7}+1\right)\)
\(=\frac{4}{5}\cdot\frac{13}{7}\)
\(=\frac{52}{35}\)
B= \(5\frac{1}{2}\)- \(\left(14\frac{3}{7}-3\frac{4}{7}\right):\frac{9}{13}\)
= \(5\frac{1}{2}-10\frac{6}{7}:\frac{9}{13}\)
=\(5\frac{1}{2}-\frac{76}{7}\)x\(\frac{13}{9}\)
=\(5\frac{1}{2}\)\(-\)\(13\frac{31}{36}\)
=\(5\frac{13}{36}\)\(-13\frac{31}{36}\)
= \(\frac{193}{36}\)\(-\)\(\frac{499}{36}\)
=\(\frac{153}{13}\)
Nhớ k nha