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A ratio is a way to compare two numbers or quantities by showing the relative size of one compared to the other. Ratios can be expressed in several ways: as fractions, with a colon, or with the word 'to'. For example, the ratio 3 to 4 can be written as 3:4 or \( \frac{3}{4} \).
In the given exercise, we expressed the integer \(-5\) as a ratio of two integers. We chose \(-5\) as the numerator and 1 as the denominator, resulting in the ratio \( \frac{-5}{1} \). This representation shows that for every -5 units of something, there is 1 unit of another.
It's important to remember that ratios are not limited to positive numbers; they can include negative numbers as well.

Integers are whole numbers that include positive numbers, negative numbers, and zero. They do not have fractional or decimal parts. For example, -5, 0, 3, and 12 are all integers.
When working with ratios, any integer can potentially be a numerator or a denominator, as long as the denominator is not zero. This is because division by zero is undefined.
In the exercise, we used the integer \(-5\) as the numerator. This shows that the concept of ratios applies to both positive and negative integers, and the resulting ratio still holds valid mathematical meaning.

Fractions are a way to represent parts of a whole and consist of a numerator (the top number) and a denominator (the bottom number). The form of a fraction is \( \frac{a}{b} \), where \(a\) and \(b\) are integers, and \(b eq 0\).
In the exercise, we transformed the integer \(-5\) into the fraction \( \frac{-5}{1} \). The numerator is -5, and the denominator is 1.
Basic fractions are crucial in various mathematical concepts, including ratios. When we express a ratio as a fraction, it helps simplify understanding and calculations by comparing part-to-whole or part-to-part relationships.
Remember, fractions and ratios are closely related: a ratio expressed as a fraction just shows one way to compare quantities.