How to Order Fractions:‌ Step-by-Step Guide

A Step-by-step Guide to Ordering Fractions

Step 1: List the fractions:

Write down the fractions you want to order, either in ascending (smallest to largest) or descending (largest to smallest) order.

Step 2: Find a common denominator:

To compare and order fractions, they must have the same denominator. Determine the least common denominator (LCD) by finding the smallest multiple that each of the denominators can evenly divide into.

Step 3: Convert the fractions:

Change each fraction to an equivalent fraction with the LCD as the denominator. To do this, divide the LCD by the original denominator and multiply the result by the numerator of the original fraction.

Step 4: Compare the numerators:

Now that all the fractions have the same denominator, compare the numerators of the converted fractions.

Step 5: Order the fractions:

Arrange the fractions in ascending or descending order based on the size of their numerators.

Step 6: 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.