๐ Topic Summary
Comparing fractions with the same numerator involves understanding that when the numerators are the same, the fraction with the smaller denominator represents the larger quantity. This is because the whole is being divided into fewer pieces, making each piece larger. For example, $\frac{1}{4}$ is greater than $\frac{1}{8}$ because dividing something into 4 parts results in larger pieces than dividing it into 8 parts. Think about sharing a pizza! This concept is fundamental for understanding fraction magnitudes and relationships.
๐ง Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| Numerator |
a) The number below the fraction bar. |
| Denominator |
b) Fractions that represent the same value. |
| Equivalent Fractions |
c) The number above the fraction bar. |
| Compare |
d) To examine the differences between numbers. |
| Fraction |
e) A part of a whole. |
(Match the term to the correct letter)
โ๏ธ Part B: Fill in the Blanks
When comparing fractions with the same ________, the fraction with the ________ denominator is larger. This is because the whole is divided into ________ pieces. Therefore, each piece is ________. For example, $\frac{2}{3}$ is ________ than $\frac{2}{5}$.
๐ค Part C: Critical Thinking
Explain in your own words why a fraction with a larger denominator is smaller when the numerators are the same. Use an example to illustrate your point.