Answer:
[tex]\frac{-7}{24}[/tex]=r
Step-by-step explanation:
3÷8=r+2÷3
[tex]\frac{3}{8}[/tex]=r+[tex]\frac{2}{3}[/tex]
[tex]\frac{3}{8}[/tex]-[tex]\frac{2}{3}[/tex]=r
(make the denominators same)(LCM of 8 and 3=24)
[tex]\frac{3}{8}[/tex]([tex]\frac{3}{3}[/tex])+[tex]\frac{2}{3}[/tex]([tex]\frac{8}{8}[/tex])=r
[tex]\frac{9}{24}[/tex]-[tex]\frac{16}{24}[/tex]=r
[tex]\frac{9-16}{24}[/tex]=r
[tex]\frac{-7}{24}[/tex]=r