Question

Marla ate 3/8 of a small pepperoni pizza and 2/8 of a small cheese pizza. damien ate 3/12 of a small veggie pizza and 5/12 of a small mushroom pizza. who ate a greater fraction of a whole pizza?

Answer 1

Step 1

Find the amount of pizza that Marla ate

`(3)/(8) + (2)/(8) =(5)/(8)`

Step 2

Find the amount of pizza that Damien ate

`(3)/(12) + (5)/(12) =(8)/(12)`

Step 3

Compare the fractions

Maria

`(5)/(8)`

Multiply and divide by 3 both numerator and denominator

`(5)/(8)=(15)/(24)`

Damien

`(8)/(12)`

Multiply and divide by 2 both numerator and denominator

`(8)/(12)=(16)/(24)`

we know that

Two fractions with the same denominator is greater than the one with the highest numerator.

`(16)/(24) > (15)/(24)`

therefore

the answer is

Damien ate a greater fraction of a whole pizza