Fractions and Decimals

Numbers do not merely count whole objects; they measure the infinite spaces between them. A single apple can be divided, a mile can be run in segments, and a geometric plane can be partitioned. To navigate this continuous reality, mathematics relies on rational numbers, primarily expressed through fractions, decimals, and percents. These are not completely distinct mathematical species, but rather three interconnected dialects describing the exact same underlying concept: the division of a whole into quantifiable, equal parts. Understanding how to translate between these representations, and how to compose or decompose them, is fundamental to describing the physical world with precision.