What is 12/19 divided by 3/7?

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Answer 1 · 2016-11-15T10:01:47

#28/19# or #1 9/19#

Dividing by a fraction means multiplying by its multiplicative inverse or reciprocal.

Hence, when #a/b# is divided by #c/d#, it is equivalent to multiplying #a/b# by #d/c#, as #d/c# is multiplicative inverse or reciprocal of #c/d#.

Hence, when we divide #12/19# by #3/7#,

we mean multiplying #12/19# by #7/3# and hence

#12/19-:3/7=12/19xx7/3#

= #(4cancel12)/19xx7/(1cancel3)#

= #28/19# or #1 9/19#