2 2/3 on a number line

Guri Bee

2 min read

·

18-10-2024

1

0

Share

Plotting 2 2/3 on a Number Line: A Step-by-Step Guide

Understanding Mixed Numbers

Before we dive into plotting 2 2/3 on a number line, let's understand what this mixed number represents. A mixed number combines a whole number (2 in this case) and a fraction (2/3). Think of it like having two whole pies and two-thirds of another pie.

Converting to an Improper Fraction

To easily plot mixed numbers on a number line, it's helpful to convert them to improper fractions. Here's how:

1. Multiply the whole number by the denominator of the fraction: 2 x 3 = 6
2. Add the numerator of the fraction: 6 + 2 = 8
3. Keep the same denominator: 8/3

So, 2 2/3 is equivalent to 8/3.

Plotting on the Number Line

1. Divide the space between whole numbers: Since our improper fraction has a denominator of 3, divide the space between each whole number on the number line into three equal parts.

2. Locate the numerator: The numerator of 8/3 tells us how many of these parts to count from zero. Starting from zero, count eight of these parts.

3. Mark the point: The point where you land after counting eight parts is where you'll plot 2 2/3 (or 8/3).

Visualization:

Here's a visual representation of how the number line would look:

  0   1   2   3
    |   |   |   |
  ---+---+---+---+
    |---|---|---|
    |---|---|---|
    |---|---|---|
    |---|---|---|
    |---|---|---|
    |---|---|---|
    |---|---|---|
    |---|---|---|
    |---|---|---|
    8/3

Example:

Imagine you're measuring a piece of fabric. If you need 2 2/3 yards, you could use a ruler to mark this distance on the fabric. First, find the 2 yard mark. Then, divide the space between 2 and 3 into three equal parts. Count eight of these parts (starting from zero) and you'll find your 2 2/3 yard mark.

Key Takeaways:

• Understanding how to convert mixed numbers to improper fractions is crucial for accurate plotting on a number line.
• Dividing the space between whole numbers into equal parts based on the denominator allows for precise placement of fractions.
• Plotting fractions on a number line helps visualize their position relative to whole numbers and other fractions.

Additional Resources:

• Khan Academy: https://www.khanacademy.org/math/arithmetic/fractions/mixed-numbers-to-fractions/v/mixed-number-to-improper-fraction-example
• Math is Fun: https://www.mathsisfun.com/numbers/mixed-numbers.html

This article has been written using information from various sources including:

• GitHub Repository: https://github.com/KhanAcademy/khan-exercises/tree/master/exercises/arithmetic/fractions/mixedNumbersToFractions
• Stack Overflow: https://stackoverflow.com/questions/13024922/converting-a-mixed-number-to-a-fraction