Question

(4/9)^2÷(1/3+2/9-1/2)

Answer 1

Answer: 32/9

(4/9)^2 = 16/81_____( I )

And,

1/3 + 2/9 - 1/2

= (6 + 4 - 9)/18

= 1/18_________( II )

NOW, ( I )/( II )

(16/81)/(1/18)

= 32/9 _______(Ans.)

Thanks,

Answer 2

Answer:

$\frac{32}{9}$

Step-by-step explanation:

$\frac{4}{9} ^{2} /(\frac{1}{3} +\frac{2}{9} -\frac{1}{2} )$

BODMAS

LCM OF 3, 9 and 2

2║3║9║2║

3║3║9║1 ║

3║1 ║3║1 ║

 ║1 ║1 ║1 ║

L.C.M =2x3x3=18

$\frac{4}{9} ^{2} /(\frac{6+4-9}{18} )$

$\frac{4}{9} ^{2} /(\frac{1}{18} )$

$\frac{4^{2} }{9^{2} } /\frac{1}{18}$

$\frac{16}{81} /\frac{1}{18}$

$\frac{16}{81} *18$

$\frac{288}{81}$

$\frac{32}{9}$

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