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a) \(\frac{171717}{292929}=\frac{171717:10101}{292929:10101}=\frac{17}{29}\)
b) \(\frac{3344}{1212}=\frac{3344:4}{1212:4}=\frac{836}{303}\)
c) \(\frac{20192019}{20172017}=\frac{20192019:10001}{20172017:10001}=\frac{2019}{2017}\)
a) 17/29(chia cho 10101)
B) 836/303( chia 4)
C) 2019/2017(chia 10001)
\(\frac{1212}{3131}=\frac{1212:101}{3131:101}=\frac{12}{31}\)
\(\dfrac{1339}{1442}=\dfrac{1339:103}{1442:103}=\dfrac{13}{14}\)
\(\dfrac{1212}{3030}=\dfrac{1212:606}{3030:606}=\dfrac{2}{5}\)
Giải:
Ta có:
\(\dfrac{a}{b}=\dfrac{-8}{11}\left(1\right)\Leftrightarrow1-\dfrac{a}{b}=1-\dfrac{-8}{11}\)
Hay \(\dfrac{b-a}{b}=\dfrac{11+8}{11}=\dfrac{19}{11}\left(2\right)\)
Thay \(b-a=190\) vào \(\left(2\right)\) ta được:
\(\dfrac{190}{b}=\dfrac{19}{11}\Leftrightarrow190.11=19b\Leftrightarrow b=110\)
Thay \(b=110\) vào \(\left(1\right)\) ta được:
\(\dfrac{a}{110}=\dfrac{-8}{11}\Leftrightarrow11a=-8.110\Leftrightarrow a=-80\)
Vậy phân số \(\dfrac{a}{b}\) cần tìm là \(\dfrac{-80}{110}\)
Thay b - a = 190 vào (1) ta được:
Phân số a/b phải tìm là -80/110
a) Rút gọn:
\(\dfrac{-1}{6};\dfrac{1}{5};\dfrac{-1}{2}\)
Quy đồng:
\(\dfrac{-5}{30};\dfrac{6}{30};\dfrac{-15}{30}\)
b) Rút gọn:
\(\dfrac{-3}{5};\dfrac{-5}{8};\dfrac{-4}{9}\)
Quy đồng:
\(\dfrac{-216}{360};\dfrac{-225}{360};\dfrac{-160}{360}\)
a)\(\dfrac{-3}{29}+\dfrac{16}{58}\)\(=\dfrac{-3}{29}+\dfrac{8}{29}=\dfrac{5}{29}\)
b) \(\dfrac{8}{40}+\dfrac{-36}{45}=\dfrac{1}{5}+\dfrac{-4}{5}=\dfrac{-3}{5}\)
c) \(\dfrac{-8}{18}+\dfrac{-15}{27}=\dfrac{-4}{9}+\dfrac{-5}{9}=\dfrac{-9}{9}=-1\)
a) \(\dfrac{-3}{29}+\dfrac{16}{58}=\dfrac{-3}{29}+\dfrac{8}{29}=\dfrac{-3+8}{29}=\dfrac{5}{29}\)
b) \(\dfrac{8}{40}+\dfrac{-36}{45}=\dfrac{1}{5}+\dfrac{-4}{5}=\dfrac{1+\left(-4\right)}{5}=\dfrac{-3}{5}\)
c) \(\dfrac{-8}{18}+\dfrac{-15}{27}=\dfrac{-4}{9}+\dfrac{-5}{9}=\dfrac{-4+\left(-5\right)}{9}=\dfrac{-9}{9}=-1\)
a ) − 1212 − 2424 = ( − 1212 ) : ( − 1212 ) ( − 2424 ) : ( − 1212 ) = 1 2
b ) 120120 − 240240 = 120120 : ( − 120120 ) − 240240 : ( − 120120 ) = − 1 2
c) 1313 − 1414 = 1313 : ( − 101 ) − 1414 : ( − 101 ) = − 13 14
Ta có: \(\dfrac{3344}{1212}\)
\(=\dfrac{3344:4}{1212:4}\)
\(=\dfrac{836}{303}\)