Online Pre-Algebra Tutoring: Fractions
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A fraction is in its in lowest terms if the Greatest Common Factor (GCF), also called the Greatest Common Divisor (GCD), of the numerator and denominator is 1.
For example, 3/4 is in lowest terms but 9/12 is not.
A fraction is written in lowest terms when it uses the smallest possible numerator and denominator.
Steps to reduce fractions to lowest terms
1. Find the Greatest Common Factor (GCF) i.e. find the largest number that divides both the numerator and the denominator.
2. Divide both the numerator and the denominator by that number.
Let’s understand with an example:
Write 25/35 in lowest terms.
Find the Greatest Common Factor (GCF)
of 25 and 35
GCF = 5
We can reduce the fraction by dividing
the numerator and denominator by 5
and get our simplified answer
Check Point
a) Write 30/36 in lowest terms.
b) Write 99/297 in lowest terms.
c) Write 625/1125 in lowest terms.
d) Rebecca loves oranges. Yesterday she bought 6 boxes that contained 2 dozen oranges each, and today she has only 20 left What fraction of her oranges did she eat? Reduce to lowest terms.
e) Jojo uses 5 crayons on every picture she draws. If she starts with a box of 100 crayons and draws 10 pictures, what fraction of box of crayons will she be left with ?Reduce to lowest term.
Answer key
a) 5/6
b) 1/3
c) 5/9
d) Rebecca ate 31/36 oranges
e) Jojo will have 1/2 of box of crayons left with her.
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