Question

c{2}{7} - 5 \frac{2}{3} " alt="14 \frac{2}{7} - 5 \frac{2}{3} " align="absmiddle" class="latex-formula">

Answer 1

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 $\frac{181}{21}$.