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23/4=\(5\dfrac{3}{4}\)
41/5=\(8\dfrac{1}{5}\)
57/6=\(9\dfrac{3}{6}\)
-26/6=\(-4\dfrac{2}{6}\)
-8/3=\(-2\dfrac{2}{3}\)
\(\dfrac{23}{4}=5\dfrac{3}{4}\)
\(\dfrac{41}{5}=8\dfrac{1}{5}\)
\(\dfrac{57}{6}=9\dfrac{3}{6}\)
\(-\dfrac{26}{6}=-4\dfrac{2}{6}\)
\(-\dfrac{8}{3}=-2\dfrac{2}{3}\)
\(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}\) \(\frac{3}{5}.\frac{2}{8}+\frac{-6}{16}.\frac{2}{5}+\frac{-6}{15}:\left(-16\right)\)
\(=\frac{-5}{7}\left(\frac{2}{11}+\frac{9}{11}\right)\) \(=\frac{3}{20}+\frac{-3}{20}+\frac{1}{40}\)
\(=\frac{-5}{7}.1=\frac{-5}{7}\) \(=0+\frac{1}{40}=\frac{1}{40}\)
\(x-\frac{2}{5}=0,24\) \(\left(\frac{7}{3}x-0,6\right):3\frac{2}{5}=1\)
\(\Rightarrow x=0,24+\frac{2}{5}=\frac{16}{25}\) \(\Rightarrow\left(\frac{7}{3}x-0,6\right):\frac{17}{5}=1\)
vậy x = 16/25 \(\Rightarrow\frac{7}{3}x-0,6=\frac{17}{5}\)
\(\Rightarrow\frac{7}{3}x=\frac{17}{5}+0,6=4\)
\(\Rightarrow x=4:\frac{7}{3}=\frac{12}{7}\)
vậy x = 12/7
Câu 1:
\(-12+\left(16-11\right).4=-12+5.4=-12+20=8\)
Câu 2:
\(2\dfrac{3}{7}+1\dfrac{4}{7}=\dfrac{17}{7}+\dfrac{11}{7}=\dfrac{17+11}{7}=\dfrac{28}{7}=4\)
Câu 3:
\(\dfrac{-2}{3}.\dfrac{4}{5}+\dfrac{1}{5}:\dfrac{9}{11}=\dfrac{-8}{15}+\dfrac{11}{45}=\dfrac{-13}{45}\)
Câu 1:
\(-12+\left(16-11\right).4=-12+5.4=-12+20=8\)
Câu 2:
\(2\dfrac{3}{7}+1\dfrac{4}{7}=\dfrac{17}{7}+\dfrac{11}{7}=\dfrac{28}{7}=4\)
Câu 3:
\(\dfrac{-2}{3}.\dfrac{4}{5}+\dfrac{1}{5}:\dfrac{9}{11}=\dfrac{-8}{15}+\dfrac{1}{5}.\dfrac{11}{9}=\dfrac{-8}{15}+\dfrac{11}{45}=\dfrac{-13}{45}\)
a/\(2\frac{1}{3}=\frac{2.3+1}{3}=\frac{7}{3}\)
\(4\frac{2}{5}=\frac{4.5+2}{5}=\frac{22}{5}\)
\(3\frac{1}{4}=\frac{3.4+1}{4}=\frac{13}{4}\)
\(9\frac{5}{7}=\frac{9.7+5}{7}=\frac{68}{7}\)
\(11\frac{3}{10}=\frac{11.10+3}{10}=\frac{113}{10}\)
b/\(5\frac{2}{17}=\frac{5.17+2}{17}=\frac{87}{17}\)
\(3\frac{6}{23}=\frac{3.23+6}{23}=\frac{75}{23}\)
\(7\frac{4}{9}=\frac{7.9+4}{9}=\frac{67}{9}\)
\(121\frac{15}{100}=\frac{121.100+15}{100}=\frac{12115}{100}\)
\(8\frac{3}{7}=\frac{8.7+3}{7}=\frac{59}{7}\)
Viết các phân số sau dưới dạng hỗn số:
, , ;
Hướng dẫn giải:
; ; .
a: \(\Leftrightarrow\left(\dfrac{13}{4}:x\right)\cdot\left(-\dfrac{5}{4}\right)=\dfrac{-10}{6}-\dfrac{5}{6}=\dfrac{-15}{6}=\dfrac{-5}{2}\)
\(\Leftrightarrow\dfrac{13}{4}:x=\dfrac{5}{2}\cdot\dfrac{5}{4}=\dfrac{25}{8}\)
hay \(x=\dfrac{13}{4}:\dfrac{25}{8}=\dfrac{13}{4}\cdot\dfrac{8}{25}=\dfrac{26}{25}\)
b: \(\Leftrightarrow\dfrac{3}{4}:x=\dfrac{11}{36}-\dfrac{1}{4}=\dfrac{2}{36}=\dfrac{1}{18}\)
=>\(x=\dfrac{3}{4}:\dfrac{1}{18}=\dfrac{54}{4}=\dfrac{27}{2}\)
c: \(\Leftrightarrow\left(-\dfrac{6}{5}+x\right):\left(-3.6\right)=-\dfrac{7}{4}+\dfrac{1}{4}\cdot8=\dfrac{1}{4}\)
=>x-6/5=-9/10
=>x=3/10
\(\frac{6}{5}=1\frac{1}{5}\)
\(\frac{7}{3}=2\frac{1}{3}\)
\(\frac{-16}{11}=-1\frac{5}{11}\)