Today in class we learned about finding the GCF of variable expressions, and how to simplify algebraic fractions. Even though it looks hard finding the GCF of a variable expression its pretty easy. First you have to find the prime factorization of the number. Like if the number in the expression was 6 the prime factorization would be 2*3. After that you would write the variables out in expanded form. So if the whole expression is 6ab then when you write it out you would have 2*3*a*b. Then you find the common factors.
Example:#1
Find the GCF of 6ab and 8xy
6ab = 2*3*a*b 8xy = 2*2*2*x*y
They both have 2 in common so the GCF would be 2.
Then we reviewed equivalent fractions and also how to simplify fractions. Also we learned how to simplify algebraic fractions. First you have to write the prime factorization of the expression. Then divide the numerator and denominator by the common factors.
Example:#1
4xy^3/ 8ax^2=2*2*x*y*y*y/2*2*2*a*x*x= y^3/2ax
Example:#2
2mn/4m= 2*m*n/2*2*m=n/2
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment