How to Use Number Lines to Graph and Order Fractions
[include_netrun_products_block from-products="product/6-south-carolina-sc-ready-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{{url}}/?ajax-add-to-cart={{id}}" product-item-button-custom-url-if-not-salable="{{productUrl}} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
A Step-by-step Guide to Using Number Lines to Graph and Order Fractions
Here’s a step-by-step guide on how to use number lines to graph and order fractions:
Step 1: Draw a number line:
Begin by drawing a straight, horizontal line on a piece of paper or a whiteboard. Label the left end of the line with a zero (0) and the right end with a one (1). These represent the whole numbers that serve as the lower and upper bounds for the fractions you’ll be graphing.
Step 2: Identify the fractions:
Make a list of the fractions you want to graph and order.
The Absolute Best Book for 4th Grade Students
Step 3: Find the least common denominator (LCD):
Examine the fractions on your list and determine the LCD. The LCD is the smallest multiple that each of the denominators can evenly divide into.
Step 4: Divide the number line:
Divide the number line into equal parts according to the LCD. Label each division with its corresponding fractional value, starting from 0 and moving to 1. For example, if the LCD is 8, divide the number line into eight equal parts and label them as \(frac{1}{8}, \frac{2}{8}, \frac{3}{8}\), and so on.
Step 5: Graph the fractions:
Locate each fraction on the number line by finding its position relative to the divisions. Plot the fractions by drawing a small vertical line or placing a dot above the corresponding position on the number line. Optionally, label each fraction next to its position on the number line for clarity.
A Perfect Book for Grade 4 Math Word Problems!
Step 6: Order the fractions:
After all the fractions are graphed on the number line, you can easily compare and order them from smallest to largest by reading from left to right. Write down the fractions in the correct order as they appear on the number line.
Step 7: Simplify the fractions (if needed):
If any of the fractions were converted to equivalent fractions with the LCD, simplify them back to their original form in the ordered list. For education statistics and research, visit the National Center for Education Statistics.
The Best Math Books for Elementary Students For education statistics and research, visit the National Center for Education Statistics.
Related to This Article
More math articles
- The Ultimate 6th Grade Math Course (+FREE Worksheets)
- 8th Grade STAAR Math Worksheets: FREE & Printable
- How to Decipher Algebra 1: The Key to Success with ‘Algebra 1 for Beginners’ Solution Guide”
- How to Master All the Properties of Definite Integrals
- How to Graph Transformation on the Coordinate Plane: Dilation?
- 10 Most Common 8th Grade IAR Math Questions
- How to Scale a Function Vertically?
- What Does SHSAT Stand for?
- How to Create a Praxis Core Math Study Plan?
- A Comprehensive Collection of Free TASC Math Practice Tests
What people say about "How to Use Number Lines to Graph and Order Fractions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.