Abie makes $39,000 a year, and spends about $250 each month on entertainment. What
fraction of her annual income is spent on entertainment?

Respuesta :

$250*12months=$3,000
$39,000/$3,000=13
So 1/13 of her yearly income is spent on entertainment.

Answer:           " [tex]\frac{1}{3}[/tex]  " .

_________________________________________

         →   " [tex]\frac{1}{3}[/tex] "  of Abie's annual income is spent on

         entertainment.

_________________________________________

Step-by-step explanation:

_________________________________________

Note the exact conversion; as follows:

_________________________________________

  " 12 months (mo)  =  1 year (yr) " .

_________________________________________

[tex]\frac{250 dollars}{mo}* \frac{12 mo}{yr} * \frac{1 yr}{39,000 dollars}[/tex] ;

The units cancel out; and we have:

   →    [tex]\frac{(250 * 12 * 1)}{39,0000}[/tex] ;

Cancel out the "1" in the "numerator" ;  

   →    {since:  "all other values in the numerator" ;  

                 multiplied by "1" ; equal "all other values in the numerator} ;

We have:

   

  →     [tex]\frac{(250 * 12)}{(39,000)}[/tex]  ;

         =   [tex]\frac{3,000}{39,000}[/tex] ;

Cancel out 3 (three) zeros in the "numerator" ;  And:

Cancel out 3 (three) zeros in the "denominator" ;  

to get:

  →   [tex]\frac{3}{39}[/tex]  ;  

Now, simplify this fraction; by dividing each side of the fraction by "3";

  →   [tex]\frac{3}{39}[/tex]  ;

            =  (3÷3) / (39÷3) ;

            =  [tex]\frac{1}{3}[/tex] .

______________________________________________    

Hope this helps!

    Best wishes in your academic endeavors

          — and within the "Brainly" community!

______________________________________________