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Simplifying Fractions
? Lowest Terms Simplifying Fractions 2# 8( !1 2& @ 6% Reduce Simplify
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Common fractions may be simplified, or written in simplest form.
Sometimes we say this is putting a fraction in lowest terms or reducing the fraction. (The fraction is not actually reducing though, it is staying the same.)
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Simplifying fractions means that you are making the numbers in the fraction (the numerator and denominator) into smaller numbers so the fraction is easier to understand. For example, 2% 5) is hard to picture in your head. But if you simplify the fraction into it is much easier to imagine and therefore understand.
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A common fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.
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Divide the numerator and denominator by 2@ .
To express 6* in simplest form, Find the GCF of 6 and 8. The GCF of 6 and 8 would be 2. Divide the numerator and denominator by .
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6* ÷ 2@ = 3$ Look at the fraction 3$ .
6* ÷ = 3$ Look at the fraction 3$ . What would be the GCF of 3 and 4? The GCF of 3 and 4 would be 1, so the fraction 3$ is in simplest form.
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Put the following fractions into simplest form:
E + Z + P + Z
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1! 2* = 1! 2* ÷ 6^ = 2# 6$ = 6$ ÷ 8* = 2# # 6) = # 6) ÷ 6^ = 1%
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There are some easy ways to look at a fraction and tell if it is in simplest form or whether it needs to be simplified. Those ways are on the next presentation.
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Remember: To simplify a fraction find the GCF for the numerator and denominator and divide by that in the form of one. A fraction is in simplest form if the GCF for the numerator and denominator is one.
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THE END
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