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Master the art of comparing fractions with two effective methods: drawing a picture and using the Least Common Denominator (LCD). This guide focuses on ascending and descending order for fractions, providing step-by-step instructions for each method. Learn how to find the Least Common Multiple (LCM) of denominators, convert fractions to equivalent forms, and compare numerators to sort them in order. Whether you’re looking to order fractions from least to greatest or vice versa, this resource will equip you with the skills you need to succeed.
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Comparing Multiple Fractions
Key Terms Greater Than أكبر من Fraction كسر Ascending تصاعدي Less Than أقل من Descending تنازلي Equal ﻳﺴﺎوي Numerator اﻟﺒﺴﻂ Least Common Denominator (LCD) مشتركاصغرقاسم Denominator قاسم
There are two methods you can use to order (النظام) fractions you can 1) Draw a Picture or 2) use the Least Common Denominator (LCD).
Method 1: Draw a Picture Smallest to Largest
Method 2: Use LCD to write fractions in DESCENDING ORDER Step 1: Find the LCM of the denominators 6: 6, 12, 18, 24, 30, 36, 42, 48… 12: 12, 24, 36, 48 … 9: 9, 18, 27, 36, 45 … LCD = 36
Step 2: Write equivalent fractions. x 6 x 3 6 21 36 36 x 6 x 3 x 4 20 36 x 4
Step 3: Compare the numerators and write in descending order 21 6 Now you’re ready!! 36 36 20 36 Greatest to Least