High School

If a birthday cake was cut into 30 slices, and 24 of the slices were eaten, what fraction represents the eaten portion of the cake? Reduce it to the lowest term.

A. \( \frac{24}{30} \)
B. \( \frac{4}{5} \)
C. \( \frac{3}{10} \)
D. \( \frac{6}{7} \)

Answer :

Final answer:

The question asks for the fraction of a birthday cake that was eaten. The cake was cut into 30 slices, 24 of which were eaten. The fraction representing the eaten part is 24/30, which reduces to 4/5.

Explanation:

In this question, you are asked to find out the fraction represented by the eaten portion of birthday cake. The birthday cake was cut into 30 slices, and 24 of the slices were eaten. The fraction of the cake that was eaten is therefore represented by the number of slices eaten (24) over the total number of slices (30). This gives us the fraction 24/30. The last part of the question asks for this fraction to be reduced to its lowest term.

To do this, you find the largest number that can divide both 24 and 30 evenly, which is 6. When you divide both the top and bottom of the fraction by 6, you end up with 4/5. Therefore, when reduced to the lowest terms, 4/5 is the fraction of the cake that has been eaten.

So, the correct answer to this question is b) 4/5. This represents the fraction of the cake that was eaten.

Learn more about Fractions here:

https://brainly.com/question/10354322

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