There are two pizzas. Conor ate $[1 / 4]$ of a pizza, Brandon $[2 / 8]$, Tyler $[3 / 4]$, and Audrey $[4 / 8]$. Who ate the most of the two pizzas?
Answer (2)
Conor ate 4 1 of a pizza.
Brandon ate 8 2 = 4 1 of a pizza.
Tyler ate 4 3 of a pizza.
Audrey ate 8 4 = 2 1 of a pizza.
Comparing the fractions, Tyler ate the most: Tyler .
Explanation
Problem Analysis Let's analyze how much pizza each person ate. We know that there are two pizzas in total. We need to find out who ate the most pizza.
Conor's Portion Conor ate 4 1 of a pizza.
Brandon's Portion Brandon ate 8 2 of a pizza. We can simplify this fraction: 8 2 = 4 1 . So, Brandon also ate 4 1 of a pizza.
Tyler's Portion Tyler ate 4 3 of a pizza.
Audrey's Portion Audrey ate 8 4 of a pizza. We can simplify this fraction: 8 4 = 2 1 . So, Audrey ate 2 1 of a pizza.
Comparing Portions Now we compare the fractions to see who ate the most. We have 4 1 , 4 1 , 4 3 , and 2 1 . To easily compare, we can convert all fractions to have a common denominator of 4: 4 1 , 4 1 , 4 3 , and 4 2 . Comparing the numerators, we see that 3 is the largest.
Conclusion Since Tyler ate 4 3 of a pizza, which is the largest fraction, Tyler ate the most pizza.
Examples
Understanding fractions helps in everyday situations like sharing food, measuring ingredients for cooking, or splitting costs with friends. For instance, if you and three friends order a pizza and split it equally, you each get 4 1 of the pizza. Knowing how to compare fractions allows you to determine if you're getting a fair share or if someone is getting more than they should.
After analyzing each person's pizza consumption, we find that Tyler ate the most pizza with 4 3 of a pizza. Conor and Brandon each ate 4 1 , while Audrey ate 2 1 . Therefore, Tyler is the one who ate the most.
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