1. What is a Number Line?

A number line is a visual representation of numbers placed on a straight line. It helps in understanding the relative magnitude of numbers and their positions in relation to each other. Fractions can be precisely located on this line between whole numbers.

2. How to Plot Fractions on a Number Line

To plot a fraction a/b on a number line:

1. Divide the segment between 0 and 1 into b equal parts
2. Count a of these parts from 0
3. Mark the point at this position

Example: To plot 3/4, divide the 0-1 segment into 4 equal parts and mark the point after the third division.

3. Understanding the Visualization

Details: The calculator shows the fraction's position relative to whole numbers and other fractions. The simplified form helps understand equivalent fractions.

4. Using the Calculator

Tips: Enter any numerator (a) and denominator (b > 0). The calculator will show the fraction's decimal value, simplified form, and position on the number line.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is improper (numerator > denominator)?
A: The calculator handles improper fractions by extending the number line beyond 1.

Q2: How are negative fractions handled?
A: Negative fractions are plotted to the left of 0 on the number line.

Q3: What does the simplified form show?
A: It shows the fraction reduced to lowest terms (e.g., 2/4 becomes 1/2).

Q4: Can I plot multiple fractions?
A: This calculator plots one fraction at a time for clarity.

Q5: Why is the denominator restricted to positive numbers?
A: A negative denominator would create a negative fraction, which is handled by the numerator.