Respuesta :

Negative 7/24.

If you make all fractions into 24’s, it makes the problem: 9/24 = r + 16/24.
In order to keep the equation a plus, you need a negative, so you would do NEGATIVE 7/24.

Answer:

[tex]\displaystyle{-\frac{7}{24}=r}[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{3}{8}=r+\frac{2}{3}}[/tex]

Subtract 2/3 from both sides:

[tex]\displaystyle{\frac{3}{8}-\frac{2}{3}=r}[/tex]

Find common denominators:

[tex]\displaystyle{\frac{3\cdot{3}}{24}-\frac{2\cdot{8}}{24}=r}[/tex]

Simply the numerators:

[tex]\displaystyle{\frac{9}{24}-\frac{16}{24}=r}[/tex]

Subtract:

[tex]\displaystyle{-\frac{7}{24}=r}[/tex]