Arithmetic Study Guide for the
ACCUPLACER Assessment Test
Fractions
Terms
Numerator: which tells how many parts you
have (the number on top)
Denominator: which tells how many parts in
the whole (the number on the bottom)
Example:
is 3 parts have a dot out of 4 
Proper fraction: the top number is less
than the bottom number.
Improper fraction: the top number is
equal to or is larger than the bottom number.
Mixed Number: a whole number is written
next to a proper fraction.
Common Denominator: is a number that
can be divided evenly by all of the denominators in the problem
The common denominator for these fractions will be 12. It also happens to be least common denominator 

Step 1: Find a number that goes evenly into the
numerator and the denominator of the fraction. With the fraction to the left, the number that will go in evenly is 8.
Step 2: Check to see whether another number goes evenly into
both the numerator and denominator. Stop
Step 1: Multiply the denominator by the whole number.
Step 2: Add the result to the numerator.
Step 3: Place the total over the denominator. 
Adding and Subtracting Fractions With Different Bottom Numbers
Step 1: Need to find the common denominator for all fractions  
Step 2: Then go ahead and add or subtract the fractions. 
*Remember to change improper fractions to a mixed number.
Multiplying Fractions
Multiply the numerators across. Then multiply the denominators across. Make sure the product is in lowest terms. 
Multiplying with Mixed Numbers
Step 1: Change every mixed fraction to an improper fraction.

Dividing Fractions
Example: 
The fraction that is right of
the division sign will need to be turned upside down by writing the
numerator in the 
Practice:
1. Change to an improper fraction.
2. Change 42/16 to a mixed number.