a/b not equal to 0

a = numerator

b= denominator

7/3 - example

numerator is greater than denominator

contains a whole number plus a fraction

ex - 3 and 2/3

to turn to improper fraction - multiply the whole number by denominator and then add the numerator to the answer = 11/3

Improper fraction to a mixed number - divide the numerator by the denominator  - 23/7 equals 3 and 2/7

Find a common multiple which is a number that is multiple of 2 or more numbers

ex - 24 is a a common multiple of 4 and 8 because 4x6 is 24 and 8x3 is 24. 

step 1 - a/b + c/d 

step 2 - ad/bd +cb/db

step 3 - ad + cb/bd

Find the LCD of 3/14 and 5/32

14 = 1x2x7

32 = 1x2x2x2x2x2

LCD is 224

Multiply the numerators together first and then multiply the denominators

product means multiply 

DIVIDING FRACTIONS 

PEMDAS - please excuse my dear aunt sally

Parenthesis, Exponents, Multiply, Divide, Add, Subtract

Always simplify fractions first before doing the rest of the expression/problem

adding or subtracting fractions - do not mess with whole numbers

multiplying or dividing - turn into an improper fraction 

is subtraction is first - do from left to right

also do problem from left to right when division is in front