Respuesta :

Because 28 is divisible by 4 ( because 28÷4=7), we have 4/9 = 28/63;
The correct answer is 28.

Answer:

28

Step-by-step explanation:

Given is a fraction with numerator 4 and denominator 9

Fraction = [tex]\frac{4}{9}[/tex]

We have to find an equivalent fraction for this whose denominator is 63.

We have in Mathematics, all equivalent fractions will have the same value.

Hence if denominator is x,

[tex]\frac{x}{63}[/tex] will have same value as [tex]\frac{4}{9}[/tex]

i.e

[tex]\frac{4}{9}=\frac{x}{63}[/tex]

Cross multiply to solve for x

[tex]9x=63(4)\\x =7(4) =28[/tex]

Hence answer is 28.