Respuesta :

cedarwood79
Okay. So, basically a 1/2 of a cake would be broken into 3 parts, because Balu eats double the amount Pumba does and Pumba eats cake as well. Let’s do 1/2 / 3. To divide fractions, keep 1/2 the same, change the division into multiplication, and flip 3 into 1/3. Multiply across. 1/2 * 1/3 is 1/6. 1/6 * 2 is 2/6. 2/6 is twice of 1/6 and 1/6 + 2/6 = 3/6. 2/6 in simplest form is 1/3. Balu ate 1/3 of a whole cake.

Answer:

Balu ate [tex]\frac{1}{3}[/tex]fraction of the whole cake

Step-by-step explanation:

Let x be the amount of cake eaten by Pumba

Balu got to eat twice as much cake as Pumba.

Balu eat cake = 2x

Balu and Pumba shared ½ of a cake.

So, [tex]2x+x=\frac{1}{2}[/tex]

[tex]3x=\frac{1}{2}[/tex]

[tex]x=\frac{1}{6}[/tex]

So, Pumba's share = [tex]\frac{1}{6}[/tex]

Balu's share = 2x =  [tex]\frac{2}{6}=\frac{1}{3}[/tex]

Hence Balu ate [tex]\frac{1}{3}[/tex]fraction of the whole cake