Simplifying fractions is challenging for students, requiring a process where errors are easy to make. The process is also difficult conceptually causing students lots of questions. Here are the questions I hear:
What is "simplifying a fraction"?
Simplifying a fraction is finding its smallest equivalent fraction.Why do I have to do it?
It's easier to work with smallest equivalent fractions.How do I do it?
Divide the numerator and denominator by the Greatest Common Factor or "GCF".An Organized Approach
How do I know when I'm done?
Simplification is complete when the simplified fraction follows at least one of these 4 rules:1. Prime is Slime: When the numerator and denominator are both prime numbers.
2. Back to Back Jack: When the numerator and denominator are back to back on a number line.
3. One and Done: The numerator of the simplified fraction is 1.
4. The "No-Rule" Rule: Sometimes the simplified fraction doesn't follow a rule (i.e. 2/15). If this is the rule that the simplified fraction follows, make sure all factor pairs have been recorded in the T-charts and the numerator and denominator have been divided by the GCF.
Simplifying fractions, though very necessary, can be challenging. I hope the FREE Simplifying Fractions Mat simplifies the process for you and your students.
What method(s) do your students use to simplify fraction?
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