Question 85419
Question:



Divide.  Write the result in simplest form.     8/13  divided by 8/23


Answer:


Your question is ....{{{ (8/13) / (8/23) }}}



While mulitplying a rational number by another rational number, take the reciprocal of the divisor and multip[ly it with the dividend...



Here....


dividend is {{{ 8/13 }}}


divisor is  {{{8/23}}}




Reciprocal of divisor is {{{ 23/8}}}



The the given question becomes.........



{{{ (8/13) / (8/23) }}} = {{{8/13}}} * {{{23/8}}}



Here you have 8 in numerator and denominator...so they will get cancelled....



==> {{{23/13 }}}


It is not possible to simplify further.



So the answer is .....{{{23/13}}}