When two fractions have the same numerators

Mathematics · Middle School · Thu Feb 04 2021

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 When two fractions have the same numerators, their relative sizes (which one is larger or whether they're equal) can be determined by looking at their denominators. The fraction with the smaller denominator is the larger fraction because having the same number divided into fewer pieces results in larger pieces.For example, let's consider the fractions 5/8 and 5/12. Both fractions have the same numerator (5), but different denominators (8 and 12). To compare the sizes of these fractions, we look at the denominators: since 8 is smaller than 12, 5/8 is larger than 5/12.

This is because in 5/8, the number 5 is divided into 8 parts, making each part 1/8 of the whole. In 5/12, the 5 is divided into 12 parts, making each part 1/12 of the whole. Since 1/8 is larger than 1/12, the individual parts of 5/8 are larger, making the fraction as a whole larger.