How do you simplify #5/9 div 2/7#?

1 Answer
Shwetank Mauria
Jul 11, 2016

#5/9÷2/7=35/18=1 17/18#

Explanation:

Dividing by a fraction is equivalent to multiplicative inverse. As multiplicative inverse of #a/b# is #b/a#, dividing by #2/7# is equivalent to multiplying by #7/2#.

Hence, #5/9÷2/7#

= #5/9×7/2=(5×7)/(9×2)#

= #35/18=(18+17)/18#

= #18/18+17/18#

= #1 17/18#

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