3/4 of Melissa's friends babysit for extra money. 2/3 of her friends babysit and pet sit. What fraction of those who babysit also pet sit?


A) 1/2

B) 1/4

C) 12/17

D) 8/9

Respuesta :

Do 3/4 of 2/3

Turn the demoninator into 12 so:

9/12 8/12 so I’m guessing C

Answer:  The correct option is (D) [tex]\dfrac{8}{9}.[/tex]

Step-by-step explanation:  Given that [tex]\dfrac{3}{4}[/tex] of Melissa's friends babysit for extra money and [tex]\dfrac{2}{3}[/tex] of her friends babysit and pet sit.

We are to find the fraction of her friends those who babysits also pet sits.

Total fraction of Melissa's friends is given by

[tex]F=\dfrac{3}{4}.[/tex]

Therefore, the fraction of her friends those who babysits also pet sits is given by

[tex]f=\dfrac{\frac{2}{3}}{\frac{3}{4}}=\dfrac{2}{3}\times\dfrac{4}{3}=\dfrac{8}{9}.[/tex]

Thus, the required fraction is [tex]\dfrac{8}{9}.[/tex]

Option (D) is CORRECT.