Name __________________________________
Date ___________________
What are Factors?
Write a multiplication equation for 3 × 4:
Circle the
_______________________________________________
factors in that equation.
Write the division equation that goes with the equation above: __________________________________
Circle the
factors in that equation.
What is a factor?
1.
__________________________________________________________________________________________
__________________________________________________________________________________________
2.
__________________________________________________________________________________________
__________________________________________________________________________________________
Name __________________________________
Date ___________________
Simplifying Fractions by finding Common Factors
A smaller number that divides evenly into a larger number is a factor of the larger number.
Write the factors of the following numbers. Write them in pairs, starting with
1.
Write the factors of
4:
____________________________________________________________________
Write the factors of
6:
____________________________________________________________________
Write the factors of
8:
____________________________________________________________________
Write the factors of
10 :
____________________________________________________________________
Write the factors of
12 :
____________________________________________________________________
Write the factors of
15 :
____________________________________________________________________
Write the factors of
16 :
____________________________________________________________________
Write the factors of
20 :
____________________________________________________________________
Write the factors of
24 :
____________________________________________________________________
When you’re simplifying fractions, a number that
divides evenly into both numerator and
denominator is called a common factor.
6
8
Use this term to write the rule for finding an equal fraction by dividing (simplifying the fraction) .
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
Name __________________________________
Date ___________________
Simplifying Fractions to Simplest Form
There are two ways to write a fraction in simplest form.
1.
Divide more than once until there are no more common factors.
2.
Divide by the Greatest Common Factor, which is the largest number that is
a factor of both numerator and denominator.
Simplify these fractions to simplest form:
1.
2.
List the common factors and then the Greatest Common Factor (the GCF).
Divide by the Greatest Common Factor.
Check to make sure there are no more common factors. If there are, you can divide again.
1.
4
10
2.
8
12
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
2.
10
15
4.
12
20
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
5.
12
16
6.
8
16
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
7.
10
20
8.
8
24
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
9.
15
24
10.
16
24
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
11.
15
20
12.
16
20
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
The following fractions include numbers you haven’t written all the factors for.
Divide more than once if you need to.
13.
10
25
14.
25
100
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________
15.
20
30
16.
18
24
Common factors: _____________________
Common factors: _____________________
GCF: ________
GCF: ________