76/18 - X x 17/3 = 4/9
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`a) x - 24/8 = 8`
`x = 8 + 24/8`
`x = 11`
`b) 76/18 - x × 17/3 = 4/9`
`x × 17/3 = 76/18 - 4/9`
`x × 17/3 = 34/9`
`x = 34/9 : 17/3`
`x = 2/3`
a) 9/22 x 33/18 =3/4
b) 12/35 : 36/25 = 5/21
c) 19/17 : 76/51 =3/4
a) \(\frac{9}{22}\times\frac{33}{18}\)
\(=\frac{9}{22}\times\frac{11}{6}\)
\(=\frac{9\times11}{22\times6}=\frac{3}{4}\)
b) \(\frac{12}{35}:\frac{36}{25}=\frac{12}{35}\times\frac{25}{36}\)
\(=\frac{5}{21}\)
c) \(\frac{19}{17}:\frac{76}{51}=\frac{19}{17}\times\frac{51}{76}\)
\(=\frac{3}{4}\)
a) \(\dfrac{25}{37}\times\dfrac{18}{29}+\dfrac{18}{29}\times\dfrac{12}{37}\)
\(=\dfrac{18}{29}\times\left(\dfrac{25}{37}+\dfrac{12}{37}\right)\)
\(=\dfrac{18}{29}\times\dfrac{37}{37}\)
\(=\dfrac{18}{29}\times1\)
\(=\dfrac{18}{29}\)
b) \(\dfrac{31}{85}\times\dfrac{11}{19}+\dfrac{31}{85}\times\dfrac{12}{19}-\dfrac{42}{19}\times\dfrac{31}{85}\)
\(=\dfrac{31}{85}\times\left(\dfrac{11}{19}+\dfrac{12}{19}-\dfrac{42}{19}\right)\)
\(=\dfrac{31}{85}\times\dfrac{-19}{19}\)
\(=\dfrac{31}{85}\times-1\)
\(=-\dfrac{31}{85}\)
c) \(\dfrac{16}{53}:\dfrac{17}{9}-\dfrac{16}{53}:\dfrac{17}{8}\)
\(=\dfrac{16}{53}:\left(\dfrac{9}{17}-\dfrac{8}{17}\right)\)
\(=\dfrac{16}{53}:\dfrac{1}{17}\)
\(=\dfrac{16}{901}\)
c) \(\dfrac{1}{5}\times\dfrac{12}{31}\times\dfrac{4}{3}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\dfrac{12}{31}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\left(\dfrac{12}{31}+\dfrac{19}{31}\right)\)
\(=\dfrac{4}{15}\times\dfrac{31}{31}\)
\(=\dfrac{4}{15}\times1\)
\(=\dfrac{4}{15}\)
a: =18/29*(25/37+12/37)
=18/29
b: =31/85(11/19+12/19-42/19)
=-31/85
c; =16/53(9/17+8/17)=16/53
d: =4/15(12/31+19/31)=4/15
76/18 - X x 17/3 = 4/9
X x 17/3 = 76/18 - 4/9
X x 17/3 = 76/18 - 8/18
X x 17/3 = 34/9
X = 34/9 : 17/3
X = 34/9 x3/17
X = 2/3
`76/18 - X x 17/3 = 4/9`
`X x 17/3 = 76/18 - 4/9`
`X x 17/3 = 76/18 - 8/18`
`X x 17/3 = 34/9`
`X = 34/9 : 17/3`
`X = 34/9 x 3/17`
`X = 2/3`