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WITCHER [35]
3 years ago
13

c{2}{7} - 5 \frac{2}{3} " alt="14 \frac{2}{7} - 5 \frac{2}{3} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

To transform a mixed number to an improper fraction, we must multiply the denominator by the large number, and add the numerator.


So for 14\frac{2}{7}: (14*7)+2=100


But we also put this over the denominator in the mixed number, so we get: \frac{100}{7}.


Then we do the same for 5\frac{2}{3}:


(5*3)+2=\frac{17}{3}


Then we must find a common denominator. Let's use 21 (multiply 3 and 7):


\frac{100}{7} *\frac{3}{3}= \frac{300}{21}


\frac{17}{3}* \frac{7}{7} =\frac{119}{21}


Now that we have a common denominator, we can subtract across:


\frac{300}{21} -\frac{119}{21}= \frac{181}{21}


Since \frac{181}{21} cannot be reduced any further, we are going to leave this as our answer.


So the answer is \frac{181}{21}.

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