To order fractions with the same denominator, you simply compare their numerators; the fraction with the larger numerator is the larger fraction.
Comparing Fractions with Like Denominators
When fractions share the same denominator, the process of ordering them becomes straightforward. According to the reference, the main factor to consider is the numerator.
- Compare Numerators: Look at the numerators of the fractions.
- Larger Numerator = Larger Fraction: The fraction with the bigger numerator is the larger fraction.
- Smaller Numerator = Smaller Fraction: Conversely, the fraction with the smaller numerator is the smaller fraction.
Example
Let's say we have the following fractions: 3/7, 1/7, and 5/7.
- Denominators are the same: All fractions have a denominator of 7.
- Compare numerators: The numerators are 3, 1, and 5.
- Order the numerators: 1 < 3 < 5.
- Order the fractions: 1/7 < 3/7 < 5/7.
Therefore, the fractions in ascending order are 1/7, 3/7, and 5/7.