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When dealing with fractions, it's essential to understand what the numerator and denominator are. These two parts make up every fraction:

• The numerator is the top part of the fraction. It represents how many parts we are considering.
• The denominator is the bottom part of the fraction. It indicates the total number of equal parts the whole is divided into.

In the exercise, the expression involves subtracting numbers to find the numerator and the denominator:

• Numerator: Calculated as \(0.2 - 1.4\), which results in \(-1.2\).
• Denominator: Calculated as \(1.6 - 2.4\), giving \(-0.8\).

Understanding these components is crucial, especially when simplifying or evaluating fractions.

Fractions represent parts of a whole and are useful in many mathematical expressions. With fractions:

• A positive numerator and a negative denominator (or vice versa) result in a negative fraction.
• Both a negative numerator and a denominator result in a positive fraction since two negatives make a positive.

In our exercise, the fraction \(\frac{-1.2}{-0.8}\) is addressed:- The negativity of both parts cancels each other, resulting in a positive outcome.- By dividing \(-1.2\) by \(-0.8\), the result is \(1.5\).
This step highlights how basic divisions and sign rules can simplify complex expressions.

Breaking problems into steps makes them manageable and easier to understand. This method involves calculating smaller parts one at a time:1. **Calculate the Numerator**: - Subtract \(1.4\) from \(0.2\) to find \(-1.2\).2. **Calculate the Denominator**: - Subtract \(2.4\) from \(1.6\) to get \(-0.8\).3. **Compute the Fraction**: - Divide the numerator \(-1.2\) by the denominator \(-0.8\), resulting in \(1.5\). 4. **Find the Absolute Value**: - Consider the absolute value, \(\left|1.5\right|\), which remains \(1.5\) because it’s already positive.
Taking each step carefully ensures a clear understanding of how to solve similar problems. Remember, when working with fractions and absolute values, each step builds on the previous one, leading to the correct final answer.