# Rewrite in Standard Form x/2-y/3=5/6

The standard form of a linear equation is .
Find the LCD of , , and .
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Since has no factors besides and .
is a prime number
Since has no factors besides and .
is a prime number
has factors of and .
Multiply by .
Multiply both sides by .
Simplify .
Apply the distributive property.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Rewrite in Standard Form x/2-y/3=5/6