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Fractions are a way to represent a part of a whole. They consist of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction \(\frac{11}{4}\), 11 is the numerator, and 4 is the denominator.
Fractions can be less than, equal to, or greater than 1. If the numerator is larger than the denominator, like in \(\frac{11}{4}\), the fraction is considered an improper fraction because it represents a value greater than 1.
Fractions can be simplified if the numerator and the denominator share common factors. However, \(\frac{11}{4}\) is already in its simplest form since 11 and 4 have no common divisors other than 1.

A non-negative value is a number that is either positive or zero. Non-negative values can never be negative.
In mathematics, absolute value is the non-negative value of any given number. This is because absolute value measures the distance of a number from zero on the number line without considering which direction—left or right—the number lies.
For any real number \(x\), the absolute value is written as \( |x| \). If \(x\) is already non-negative, \( |x| = x \). If \(x\) is negative, say \( -y \) where \( y \) is positive, then \( |x| = |-y| = y \). Hence, \( |\frac{11}{4}| \) remains \( \frac{11}{4} \) since \(\frac{11}{4}\) is positive.

A number line is a straight line that helps visualize numbers and their relationships.
Numbers are placed at equal intervals along the line, with zero typically in the center, positive numbers to the right, and negative numbers to the left.
Absolute value can be visualized easily on a number line. For any number, its absolute value is its distance from zero. For example, \(\frac{11}{4}\) is a little more than 2.5 and is to the right of zero. On a number line, the distance between \(\frac{11}{4}\) and zero is simply the absolute value of \(\frac{11}{4}\), which is \(\frac{11}{4}\).
This visual representation shows that calculating absolute value is about measuring how far a number is from zero, without concerning the direction.