To determine who had the most cake between Palesa and July, we can compare their fractions step by step.
1. Palesa's Fraction:
- Palesa had [tex]\( \frac{1}{4} \)[/tex] of the cake.
2. July's Fraction:
- July had [tex]\( \frac{2}{8} \)[/tex] of the cake.
3. Converting Fractions to a Common Denominator:
- We need to convert both fractions to have the same denominator in order to easily compare them.
- The fraction [tex]\( \frac{1}{4} \)[/tex] can be converted to [tex]\( \frac{2}{8} \)[/tex] (since [tex]\( \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \)[/tex]).
4. Comparison:
- Now that both fractions are [tex]\( \frac{2}{8} \)[/tex], they are directly comparable.
- [tex]\( \frac{1}{4} \)[/tex] is equal to [tex]\( \frac{2}{8} \)[/tex].
5. Conclusion:
- Palesa had [tex]\( \frac{1}{4} \)[/tex] of the cake which is the same as [tex]\( \frac{2}{8} \)[/tex] of the cake.
- July had [tex]\( \frac{2}{8} \)[/tex] of the cake.
Since [tex]\( \frac{1}{4} \)[/tex] is equal to [tex]\( \frac{2}{8} \)[/tex], both Palesa and July had an equal amount of cake. Neither had more than the other.
