Basic Math Examples

Evaluate 14/4=7/y
Step 1
Rewrite the equation as .
Step 2
Cancel the common factor of and .
Tap for more steps...
Step 2.1
Factor out of .
Step 2.2
Cancel the common factors.
Tap for more steps...
Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
Step 3
Find the LCD of the terms in the equation.
Tap for more steps...
Step 3.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 3.2
Since contains 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 .
Step 3.3
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.
Step 3.4
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 3.5
Since has no factors besides and .
is a prime number
Step 3.6
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 3.7
The factor for is itself.
occurs time.
Step 3.8
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Step 3.9
The LCM for is the numeric part multiplied by the variable part.
Step 4
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 4.1
Multiply each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Rewrite using the commutative property of multiplication.
Step 4.2.2
Multiply .
Tap for more steps...
Step 4.2.2.1
Combine and .
Step 4.2.2.2
Multiply by .
Step 4.2.3
Cancel the common factor of .
Tap for more steps...
Step 4.2.3.1
Cancel the common factor.
Step 4.2.3.2
Rewrite the expression.
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Cancel the common factor of .
Tap for more steps...
Step 4.3.1.1
Factor out of .
Step 4.3.1.2
Cancel the common factor.
Step 4.3.1.3
Rewrite the expression.
Step 5
Solve the equation.
Tap for more steps...
Step 5.1
Rewrite the equation as .
Step 5.2
Divide each term in by and simplify.
Tap for more steps...
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Tap for more steps...
Step 5.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
Tap for more steps...
Step 5.2.3.1
Divide by .