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Emily and Georgia are trying to stop eating sugar. Emily ate only 3/5 of her cake. Georgia only at 7/20 of her cake. Who ate less?

User Cxphong
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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.

User Robin Dehu
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