Respuesta :

Answer:

[tex]5.\overline{55}[/tex] or  [tex]5\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{r} =\frac{9}{10}[/tex]

We multiply the cross values of 5 and 10

5 × 10 = 50

Now we divide by the remaining number, 9

[tex]50 \div 9 = 5.555555...[/tex]

So, r = [tex]5.\overline{55}[/tex]

As a fraction, this is [tex]5\frac{5}{9}[/tex]

Hope this helped!

Answer:

5 5/9 = r

Step-by-step explanation:

5/r = 9/10​

Using cross products

5 * 10 = 9 * r

50 = 9r

Divide by 9

50/9 = r

5 5/9 = r