Answer:

When the numerator is smaller than the denominator, the resulting value is a proper fraction. A proper fraction is a fraction where the numerator is smaller than the denominator.

To understand this concept further, let's explore how to plot rational numbers on a number line.

Plotting Rational Numbers on a Number Line:

When we plot rational numbers on a number line, we can visualize the relationship between different fractions and their positions relative to each other. This helps us understand the magnitude and order of the fractions.

Here is an example to demonstrate the process of plotting rational numbers on a number line:

Example:

Let's plot the rational numbers 1/2, 2/3, and 3/4 on a number line.

1. Draw a horizontal line and mark a point at 0. This represents the starting point.

2. Divide the line into equal parts according to the denominator of each fraction. For 1/2, divide the line into 2 equal parts; for 2/3, divide the line into 3 equal parts; and for 3/4, divide the line into 4 equal parts.

3. Starting from 0, mark the first fraction 1/2. This will be the first point on the number line.

4. Move to the right and mark the second fraction 2/3. This will be the second point on the number line.

5. Finally, move further to the right and mark the third fraction 3/4. This will be the third point on the number line.

Rational Numbers:

A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. Rational numbers can be positive, negative, or zero.

Class 7 Math:

In Class 7 Math, students learn about various mathematical concepts, including fractions, decimals, integers, and geometry. The topic of rational numbers is introduced, and students are taught how to perform operations such as addition, subtraction, multiplication, and division with rational numbers.

Understanding the concept of plotting rational numbers on a number line helps students visualize the relative positions of different fractions and build a solid foundation in the understanding of rational numbers.

In conclusion, when the numerator is smaller than the denominator, the resulting value is a proper fraction. Plotting rational numbers on a number line helps us visualize the relative positions of fractions and understand their magnitude and order. This concept is important in the study of rational numbers in Class 7 Math.