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There is no pattern.
Arranged from least to greatest, the numerators and denominators are the times tables of the simplest form.
Fractions are prevalent in nature and can be observed in various forms. For instance, the ratio of the golden ratio (approximately 1.618) can be seen in the arrangement of leaves around a stem, known as phyllotaxis. Additionally, the division of a fruit's seeds, like the segments in an orange, often reflects fractional patterns. Even the proportions of different species in an ecosystem can be represented as fractions, illustrating their relative abundance.
There are three types of fractions that are used in mathematics. The three types of fractions are, mixed fractions, proper fractions, and improper fractions.