Question 117782

{{{3&28/49}}} Start with the given mixed fraction.



{{{3+28/49}}} Expand. Remember {{{3&28/49}}} is the same as {{{3+28/49}}}.



{{{147/49+28/49}}} Multiply the whole number {{{3}}} by the denominator {{{49}}} to get {{{147}}}. Now replace the whole number {{{3}}} with {{{147/49}}} (notice how  {{{3=147/49}}}).



{{{(147+28)/49}}} Now combine the fractions by combining the numerators.



{{{175/49}}} Now combine the fractions by combining the numerators.


So the mixed fraction {{{3&28/49}}} is the improper fraction  {{{175/49}}}.



{{{(7*25)/(7*7)}}} Factor both the numerator and denominator



{{{(cross(7)*25)/(cross(7)*7)}}} Factor both the numerator and denominator



{{{25/7}}} Simplify



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Answer:

So {{{3&28/49}}} converts and simplifies to {{{25/7}}}