Mathematics: [tex]14 rac{2}{7} - 5 rac{2}{3} [/tex]

[tex]14 \frac{2}{7} - 5 \frac{2}{3} [/tex] - id1427523917680, StupidBoy

anna22684

13.03.2022

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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