Final answer:
To determine who ate less, compare the fractions of cake consumed by each person. Convert the fractions to a common denominator and compare the resulting values. Georgia ate less than Emily.
Step-by-step explanation:
In order to determine who ate less, we need to compare the fractions that each person ate.
Emily ate 3/5 of her cake, which means she consumed 3 parts out of a total of 5 parts of the cake.
Georgia ate 7/20 of her cake, which means she consumed 7 parts out of a total of 20 parts of the cake.
To compare the fractions, we need to find a common denominator for both fractions, which is 20 in this case.
After converting the fractions to have a denominator of 20, we find that Emily ate 12 parts out of 20 of the cake (3/5 * 4/4) and Georgia ate 7 parts out of 20 of the cake.
Comparing the fractions, we can see that Emily ate more than Georgia, as 12 parts out of 20 is greater than 7 parts out of 20.
Therefore, Georgia ate less than Emily.
The question is about comparing fractions to determine who ate less cake between Emily and Georgia. To compare 3/5 and 7/20, we can find a common denominator or convert them to decimals. A common denominator for 5 and 20 is 20. Multiplying the numerator and denominator of 3/5 by 4 gives us 12/20, which makes it easier to compare with 7/20. Now, it's clear that 12/20 is more than 7/20. Therefore, Georgia ate less cake than Emily.