a 7/15+4/5
b 4- 3/8
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a: =2/5-3/5+3/7=3/7-1/5
=15/35-7/35
=8/35
b: =>5/7:x=4/3
=>x=5/7:4/3=5/7*3/4=15/28
c: =>x-1/3=15/8:4/5=15/8*5/4=75/32
=>x=75/32+1/3=257/96
d: =>2x+1/8=2/7
=>2x=9/56
=>x=9/112
e: =>2x=10/3-5/4-3/4=10/3-2=4/3
=>x=2/3
\(a,\dfrac{2}{5}+\dfrac{3}{7}+\left(-\dfrac{3}{5}\right)\\ =\dfrac{2}{5}+\dfrac{3}{7}-\dfrac{3}{5}\\=\left(\dfrac{2}{5}-\dfrac{3}{5}\right)+\dfrac{3}{7}\\ =-\dfrac{1}{5}+\dfrac{3}{7}\\ =-\dfrac{7}{35}+\dfrac{15}{35}\\ =\dfrac{8}{35}\\ b,1-\dfrac{5}{7}:x=-\dfrac{1}{3}\\ =>\dfrac{5}{7}:x=1-\left(-\dfrac{1}{3}\right)\\ =>\dfrac{5}{7}:x=1+\dfrac{1}{3}\\ =>\dfrac{5}{7}:x=\dfrac{3}{3}+\dfrac{1}{3}\\ =>\dfrac{5}{7}:x=\dfrac{4}{3}\\ =>x=\dfrac{5}{7}:\dfrac{4}{3}\\ =>x=\dfrac{5}{7}.\dfrac{3}{4}\\ =>x=\dfrac{15}{28}\\ c,\dfrac{4}{5}\left(x-\dfrac{1}{3}\right)=\dfrac{15}{8}\\ =>x-\dfrac{1}{3}=\dfrac{15}{8}:\dfrac{4}{5}\\ =>x-\dfrac{1}{3}=\dfrac{15}{8}.\dfrac{5}{4}\\ =>x-\dfrac{1}{3}=\dfrac{75}{32}\\ =>x=\dfrac{75}{32}+\dfrac{1}{3}\\ =>x=\dfrac{257}{96}\)
\(d,\dfrac{2}{3}:\left(2x+\dfrac{1}{8}\right)=\dfrac{7}{3}\\ =>2x+\dfrac{1}{8}=\dfrac{2}{3}:\dfrac{7}{3}\\ =>2x+\dfrac{1}{8}=\dfrac{2}{3}.\dfrac{3}{7}\\ =>2x+\dfrac{1}{8}=\dfrac{2}{7}\\ =>2x=\dfrac{2}{7}-\dfrac{1}{8}\\ =>2x=\dfrac{16}{56}-\dfrac{7}{56}\\ =>2x=\dfrac{9}{56}\\ =>x=\dfrac{9}{56}:2\\ =>x=\dfrac{9}{112}\\ e,2x+\dfrac{3}{4}=\dfrac{10}{3}-\dfrac{5}{4}\\ =>e,2x+\dfrac{3}{4}=\dfrac{40}{12}-\dfrac{15}{12}\\ =>2x+\dfrac{3}{4}=\dfrac{25}{12}\\ =>2x=\dfrac{25}{12}-\dfrac{3}{4}\\ =>2x=\dfrac{25}{12}-\dfrac{9}{12}\\ =>2x=\dfrac{16}{12}\\ =>2x=\dfrac{4}{3}\\ =>x=\dfrac{4}{3}:2\\ =>x=\dfrac{4}{6}\\ =>x=\dfrac{2}{3}\)
a) \(\dfrac{3}{5}\times\dfrac{17}{21}+\dfrac{17}{21}\times\dfrac{2}{5}\)
\(=\dfrac{17}{21}\times\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\)
\(=\dfrac{17}{21}\times1\)
\(=\dfrac{17}{21}\)
b) \(\dfrac{15}{8}:\dfrac{5}{20}-\dfrac{7}{8}:\dfrac{1}{4}\)
\(=\dfrac{15}{8}\times\dfrac{20}{5}-\dfrac{7}{8}\times4\)
\(=\dfrac{15}{8}\times4-\dfrac{7}{8}\times4\)
\(=4\times\left(\dfrac{15}{8}-\dfrac{7}{8}\right)\)
\(=4\times1\)
\(=4\)
a: \(=\left(\dfrac{5}{8}-\dfrac{28}{8}\right)\cdot\dfrac{5}{6}=\dfrac{-23}{8}\cdot\dfrac{5}{6}=\dfrac{-115}{48}\)
b: \(=\dfrac{4}{7}\cdot\dfrac{24+25}{15}=\dfrac{4}{7}\cdot\dfrac{49}{15}=\dfrac{28}{15}\)
c: \(=\dfrac{7}{2}:\dfrac{24-10}{15}=\dfrac{7}{2}\cdot\dfrac{15}{14}=\dfrac{15}{4}\)
\(a.\dfrac{4}{7}.x+\dfrac{2}{3}=\dfrac{-1}{5}\)
\(\dfrac{4}{7}.x=\dfrac{-1}{5}-\dfrac{2}{3}\)
\(\dfrac{4}{7}.x=\dfrac{-3}{15}-\dfrac{10}{15}\)
\(\dfrac{4}{7}.x=\dfrac{-13}{15}\)
\(x=\dfrac{-13}{15}:\dfrac{4}{7}\)
\(x=\dfrac{-13}{15}.\dfrac{7}{4}=\dfrac{-91}{60}\)
\(b,\dfrac{2}{9}-\dfrac{7}{8}.x=1\)
\(\dfrac{7}{8}.x=\dfrac{2}{9}-1=\dfrac{-7}{9}\)
\(x=\dfrac{-7}{9}:\dfrac{7}{8}\)
\(x=\dfrac{-7}{9}.\dfrac{8}{7}\)
\(x=\dfrac{-8}{9}\)
\(a,\dfrac{7}{15}+\dfrac{4}{5}=\dfrac{7+4\times3}{15}=\dfrac{19}{15}\\ b,\dfrac{2}{3}-\dfrac{3}{8}=\dfrac{2\times8-3\times3}{24}=\dfrac{7}{24}\\ c,\dfrac{4}{5}\times\dfrac{5}{8}=\dfrac{1\times1}{2\times1}=\dfrac{1}{2}\\ d,\dfrac{1}{2}:\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{2}=\dfrac{5}{4}\)
a: x=2/5*15=6
b: =>x-7=15
=>x=22
c: =>3/4:x+1/2*4=4
=>3/4:x=4-2=2
=>x=3/8
a: =18/70+4/5=18/70+56/70=74/70=37/35
b: =4/5-3/4=16/20-15/20=1/20
a) \(\dfrac{2}{7}\times\dfrac{9}{10}+\dfrac{4}{5}=\dfrac{18}{70}+\dfrac{4}{5}=\dfrac{9}{35}+\dfrac{4}{5}=\dfrac{9}{35}+\dfrac{28}{35}=\dfrac{37}{35}\)
b) \(\dfrac{12}{15}-\dfrac{1}{2}:\dfrac{2}{3}=\dfrac{12}{15}-\dfrac{1}{2}\times\dfrac{3}{2}=\dfrac{12}{15}-\dfrac{3}{4}=\dfrac{4}{5}-\dfrac{3}{4}=\dfrac{16}{20}-\dfrac{15}{20}=\dfrac{1}{20}\)
a) \(x+\dfrac{1}{2}=\dfrac{3}{5}\)
\(x=\dfrac{3}{5}-\dfrac{1}{2}\)
\(x=\dfrac{6}{10}-\dfrac{5}{10}\)
\(x=\dfrac{1}{10}\)
b) \(x\times\dfrac{6}{7}=\dfrac{5}{21}\)
\(x=\dfrac{5}{21}:\dfrac{6}{7}\)
\(x=\dfrac{5}{21}\times\dfrac{7}{6}\)
\(x=\dfrac{5}{18}\)
c) \(x:\dfrac{4}{3}=\dfrac{8}{9}\)
\(x=\dfrac{8}{9}\times\dfrac{4}{3}\)
\(x=\dfrac{32}{27}\)
a: x=3/5-1/2=6/10-5/10=1/10
b: x=5/21:6/7=5/21x7/5=35/105=1/3
c: x=8/9x4/3=32/27
a 19/15
b 29/8
\(\dfrac{19}{15}\)
\(\dfrac{29}{8}\)