College

Complete the fraction that is equivalent to [tex]\frac{13}{15}[/tex].

[tex]\frac{13}{15} = \frac{39}{\square}[/tex]

Answer :

To complete the fraction, note that the numerator 39 is obtained by multiplying 13 by 3:

[tex]$$
13 \times 3 = 39.
$$[/tex]

Since the fractions must be equivalent, you multiply the denominator by the same factor. Multiplying 15 by 3 gives:

[tex]$$
15 \times 3 = 45.
$$[/tex]

Thus, the fraction equivalent to [tex]$\frac{13}{15}$[/tex] is [tex]$\frac{39}{45}$[/tex].

The number to fill in the box is [tex]$\boxed{45}$[/tex].