Basic Math Examples

Solve for a (a+m)/m+(a+n)/n=10
Step 1
Find the LCD of the terms in the equation.
Tap for more steps...
Step 1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2
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 1.3
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 1.4
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 1.5
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 1.6
The factor for is itself.
occurs time.
Step 1.7
The factor for is itself.
occurs time.
Step 1.8
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Step 1.9
Multiply by .
Step 2
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Simplify each term.
Tap for more steps...
Step 2.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1.1
Factor out of .
Step 2.2.1.1.2
Cancel the common factor.
Step 2.2.1.1.3
Rewrite the expression.
Step 2.2.1.2
Apply the distributive property.
Step 2.2.1.3
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.3.1
Factor out of .
Step 2.2.1.3.2
Cancel the common factor.
Step 2.2.1.3.3
Rewrite the expression.
Step 2.2.1.4
Apply the distributive property.
Step 2.2.2
Add and .
Tap for more steps...
Step 2.2.2.1
Reorder and .
Step 2.2.2.2
Add and .
Step 2.3
Simplify the right side.
Tap for more steps...
Step 2.3.1
Remove parentheses.
Step 3
Solve the equation.
Tap for more steps...
Step 3.1
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Factor out of .
Tap for more steps...
Step 3.2.1
Factor out of .
Step 3.2.2
Factor out of .
Step 3.2.3
Factor out of .
Step 3.3
Divide each term in by and simplify.
Tap for more steps...
Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
Tap for more steps...
Step 3.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .