What is a fraction?  numerator/ denominator = part/whole ¾ = This means you have eaten 3 out of the total 4 pieces of pizza or you have 3 red marbles out of a total 4 

Adding/Subtracting fractions with like denominators  1. Check if fractions have the same denominator. 2. If they do, Add the numerators. 3. Bring down the denominators (DO NOT add them). 

Adding/Subtracting fractions with unlike denominators  1. Check to see if the denominators are the same. 2. If not, find a common denominator. 3. See how many times the denominator goes into the common denominator. 4. Multiply that number by the numerator to find your new numerator. 5. Add or Subtract 

Equivalent fractions  Definition: Fractions that have different number of pieces but represent the same amount.  
Finding equivalent fractions  1. Multiply or divide the numerator and the denominator by the same number.  
Reducing fractions  1. Find factors for the numerator and denominator. 2. Circle the factors that are the same. 3. Choose the largest common factor. 4. Divide the numerator and denominator by that number. 5. Do again if necessary. 

Comparing fractions  1. Draw arrows to make an “X”. 2. Cross multiply. 3. The fraction that has the larger product over it is the larger fraction. 

Number lines  Numerator= The number of the line the dot is on Denominator= The total number of spaces between the whole numbers. 

Word Problems  Add All together total 
Subtract How many were left? How much more? 
Factor The numbers that when multiplied together,
form a product.
Ex. 16  The factors are (1, 2, 4, 8, 16)
12 – The factors are (1, 2, 3, 4, 6, 12)
Common denominator A number that both of
the denominators will divide into evenly. This number must be at least as
big is the larger denominator. Two quick ways to find a common denominator
is to see if the larger denominator can be divided by the smaller denominator
OR to multiply the denominators together.
Each of the problems worked out will eventually
be added to the study guide. However for now, please use your book if more
help is needed!