My uncle had 12 pieces of pizza in his refrigerator. My brother ate two-thirds of the pizza. I ate 1/12 of the pizza. What fraction of the pizza did we eat in all

Respuesta :

Answer:

They eat in all  [tex]\frac{3}{4}[/tex]  of the pizza.

Step-by-step explanation:

Given:

My uncle had 12 pieces of pizza in his refrigerator. My brother ate two-thirds of the pizza. I ate 1/12 of the pizza.

Now, to find the fraction of the pizza they eat all.

Total number of pieces = 12.

Brother ate pizza = [tex]\frac{2}{3}\ of\ 12.[/tex]

I ate pizza = [tex]\frac{1}{12}\ of\ 12[/tex] .

Now, to add the fractions of both of them to get the fraction of pizza they eat in all:

[tex]\frac{2}{3} +\frac{1}{12}[/tex]

[tex]=\frac{8+1}{12}[/tex]

[tex]=\frac{9}{12}[/tex]

Dividing numerator and denominator by 3 we get:

[tex]=\frac{3}{4}[/tex]

Therefore, they eat in all  [tex]\frac{3}{4}[/tex] of the pizza.