Question

Solve 2 2/3 + 2 1/2​

Answer 1

Answer:

$2 \frac{2}{3} + 2 \frac{1}{2} \\ \frac{8}{3} + \frac{5}{2} \\ \frac{16 + 15}{6} \\ = \frac{31}{2} = 15 \frac{1}{2}$

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Answer 2

Hello !!

Well, here we have sum of mix fraction and for you give the sum you need first concert both in improper fraction. The the resolution below in the practice.

$\mathsf{\left[2\dfrac{2}{3}+2\dfrac{1}{2}\right]} \\\\\\ \mathsf{=\left[\dfrac{((2\times3)+2)}{3}+\dfrac{((2\times2)+1)}{2}\right]} \\\\\\ \mathsf{=\left[\dfrac{(6+2)}{3}+\dfrac{((4+1)}{2}\right]} \\\\\\ \mathsf{=\left[\dfrac{8}{3}+\dfrac{(5)}{2}\right]} \\\\\\ \mathsf{=\dfrac{[(2\times8)+(3\times5)]}{(3\times2)}} \\\\\\ \mathsf{=\dfrac{[16+15]}{6}} \\\\\\ \boxed{\mathsf{=\dfrac{31}{6}~or~5\dfrac{1}{6}}}$

Therefore, we have two forms of answers for this question. The first answer is a improper fraction and the same is :

$\boxed{\mathsf{\dfrac{31}{6}}}$

And the the second type of answer for this question is a mix fraction, the same is :

$\boxed{\mathsf{5\dfrac{1}{6}}}$

I hope I have collaborated !