Which of the following includes all integers, decimals, and fractions?

The correct choice encompasses all integers, decimals, and fractions because these elements are all forms of rational numbers. Rational numbers are defined as numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. This means that any integer is a rational number, since it can be expressed with a denominator of one (for example, the integer 5 can be written as 5/1).

Decimals can also be classified as rational numbers when they either terminate (like 0.75) or repeat (like 0.333...). Additionally, fractions naturally fall under this category. This broad definition allows rational numbers to include negative integers, positive integers, and any fraction or decimal format that fits the criteria of being expressible as a numerator divided by a denominator.

On the other hand, natural numbers and whole numbers are more limited; natural numbers include only positive integers starting from 1, while whole numbers include all natural numbers along with 0, excluding fractions and decimals entirely. Irrational numbers, in contrast, are those numbers that cannot be expressed as a quotient of integers, thus they are not included in the answer since they do not consist of integers, decimals, or fractions.