Question

i need you to show your work

Answer 1

$5\dfrac 23 + 4\dfrac 12\\\\\\=5+ \dfrac 23 + 4 + \dfrac 12\\\\\\=9 + \dfrac 23 + \dfrac 12\\\\\\=9+ \dfrac 76 \\\\\\=\dfrac{61}6\\\\\\=10\dfrac 16$

Answer 2

Answer:

$\displaystyle{5 \frac{2}{3} + 4 \frac{1}{2} }$

$\displaystyle{ \frac{17}{3} + \frac{9}{2} }$

$\displaystyle{ \frac{17 \times 2 + 9 \times 3}{6} }$

$\displaystyle{ \frac{34 + 27}{6} }$

$\displaystyle{ \frac{61}{6} }$

$\displaystyle{10 \frac{1}{6} }$