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?

Respuesta :

Step 1

Find the amount of pizza that Marla ate

[tex]\frac{3}{8} + \frac{2}{8} =\frac{5}{8}[/tex]

Step 2

Find the amount of pizza that Damien ate

[tex]\frac{3}{12} + \frac{5}{12} =\frac{8}{12}[/tex]

Step 3

Compare the fractions

Maria

[tex]\frac{5}{8}[/tex]

Multiply and divide by 3 both numerator and denominator

[tex]\frac{5}{8}=\frac{15}{24}[/tex]

Damien

[tex]\frac{8}{12}[/tex]

Multiply and divide by 2 both numerator and denominator

[tex]\frac{8}{12}=\frac{16}{24}[/tex]

we know that

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

[tex]\frac{16}{24} > \frac{15}{24}[/tex]

therefore

the answer is

Damien ate a greater fraction of a whole pizza