marty ate 4/6 of his pizza and luis ate 5/6 of his pizza..marty ate more pizza than luis how is that possible
Marty had a larger pizza.
The correct answer is: Assuming both pizzas are equal diameter, thickness and weight (which is virtually impossible, but for sake of argument...) IT IS IMPOSSIBLE THAT MARTY ATE MORE PIZZA THAN LUIS. However, if Marty's pizza was LARGER than Luis's pizza by a sufficient amount (diameter and/or thickness and/or weight) then it would be POSSIBLE that Marty ate more pizza than Luis.
Marty and Luis both ate a fraction of their pizzas. Marty ate 4/6 of his pizza, which is equivalent to 2/3 (since 4/6 simplifies to 2/3). Luis ate 5/6 of his pizza. Now, to determine who ate more pizza, we need to compare the fractions.
To do this, we need to find a common denominator for both fractions, which is 6. Then we can convert the fractions:
2/3 (Marty's fraction) can be converted to 4/6 since multiplying the numerator (2) and denominator (3) by 2 gives us 4/6.
5/6 (Luis' fraction) remains the same.
Now we can clearly see that Marty ate 4/6 of his pizza, whereas Luis ate 5/6 of his pizza. Therefore, Luis actually ate more pizza than Marty.
It may seem counterintuitive, but Marty actually ate more pizza than Luis, even though Luis ate more of his own pizza compared to Marty. This can be explained by considering the sizes of their pizzas.
To understand this, we need to find a common denominator for the fractions representing the portions of pizza eaten by Marty and Luis. The common denominator for 6 and 6 is 6 itself.
Marty ate 4/6 of his pizza, which is equivalent to 4 parts out of 6.
Luis ate 5/6 of his pizza, which is equivalent to 5 parts out of 6.
So, if we imagine their pizzas as being divided into 6 equal parts, Marty consumed 4 out of the 6 parts, while Luis consumed 5 out of the 6 parts.
Now, let's compare the number of parts eaten by each person. Since 5 is greater than 4, it might seem like Luis ate more pizza. However, we need to consider the overall size of their pizzas.
If Marty's pizza was smaller than Luis's pizza, even though he ate fewer parts, he still may have consumed more pizza. For example, if Marty's pizza was divided into 6 small slices, and each slice was smaller compared to the 6 slices that made up Luis's pizza, then eating 4 slices of Marty's pizza could be more pizza than eating 5 slices of Luis's pizza.
Therefore, Marty ate more pizza than Luis because the overall size of his pizza may have been smaller, even though he ate fewer parts compared to Luis.