When we simplify a fraction (also known as reducing a fraction to its lowest terms) we cancel all common factors between the numerator and denominator. For example, the fraction four-eighths is the same as one-half. We can cancel a common factor of four between numerator and denominator.
Test Objectives:•Demonstrate the ability to find the prime factorization of a whole number
•Demonstrate the ability to find the GCD for two numbers
•Demonstrate the ability to simplify a fraction
Simplifying Fractions Test:
#1:
Instructions: Simplify each fraction.
a)
39 |
45 |
b)
32 |
144 |
c)
105 |
-105 |
#2:
Instructions: Simplify each fraction.
a)
77 |
126 |
b)
-361 |
152 |
c)
80 |
130 |
#3:
Instructions: Simplify each fraction.
a)
119 |
49 |
b)
9 |
-57 |
c)
45 |
-100 |
#4:
Instructions: Simplify each fraction.
a)
154 |
209 |
b)
13 |
19 |
c)
80 |
32 |
#5:
Instructions: Simplify each fraction.
a)
-220 |
176 |
b)
84 |
96 |
c)
-28 |
119 |
Written Solutions:
Solution:
a)
13 |
15 |
b)
2 |
9 |
c) -1
Solution:
a)
11 |
18 |
b)
-19 |
8 |
c)
8 |
13 |
Solution:
a)
17 |
7 |
b)
-3 |
19 |
c)
-9 |
20 |
Solution:
a)
14 |
19 |
b)
13 |
19 |
c)
5 |
2 |
Solution:
a)
-5 |
4 |
b)
7 |
8 |
c)
-4 |
17 |