Reducing Fractions Intro to Algebra Simplifying Fractions To
Reducing Fractions Intro to Algebra
Simplifying Fractions To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly.
Simplifying Fractions Simplifying (or reducing) fractions means to make the fraction as simple as possible. Why say four-eighths (4/8) when you really mean one-half (1/2)?
What if I don’t know the highest number? It’s okay!!! All you have to do is use our division tricks. Try to divide smaller numbers. Keep going until you can’t go any further.
Remember! Whatever you divide the top by, you must divide the bottom too!
Simplify the fraction •
Simplify the fraction •
Simplify the fraction •
Rewriting Fractions with Prime Factorization • Another way to Reduce is to rewrite the numerator and denominator using their prime factorization • Then cancel out common factors • Finally multiply the remaining factors
Reducing Fractions •
Let’s Revisit the definition of simplifying a fraction… To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly. There is something we have talked about before that is the highest number that can be divided into both numbers exactly.
Greatest Common Factor The Greatest Common Factor (GCF) is the largest number that two numbers can be divided by.
Reducing Using GCF • Find the GCF of the numerator and the denominator • Divide the numerator and the denominator by the GCF
Find the GCF 1. 36 and 96 2. 11 and 44 3. 40 and 56
Reduce the Fractions •
Reduce the Fractions •
Question 1 •
Question 2 •
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