Basic Math Examples

Solve for a (a-b)/(a+b)=3/2
Step 1
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 2
Solve the equation for .
Tap for more steps...
Step 2.1
Simplify .
Tap for more steps...
Step 2.1.1
Rewrite.
Step 2.1.2
Simplify by adding zeros.
Step 2.1.3
Apply the distributive property.
Step 2.1.4
Simplify the expression.
Tap for more steps...
Step 2.1.4.1
Move to the left of .
Step 2.1.4.2
Multiply by .
Step 2.2
Simplify .
Tap for more steps...
Step 2.2.1
Simplify by multiplying through.
Tap for more steps...
Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Reorder.
Tap for more steps...
Step 2.2.1.2.1
Move to the left of .
Step 2.2.1.2.2
Move to the left of .
Step 2.2.2
Multiply by .
Step 2.3
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Subtract from .
Step 2.4
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.4.1
Add to both sides of the equation.
Step 2.4.2
Add and .
Step 2.5
Divide each term in by and simplify.
Tap for more steps...
Step 2.5.1
Divide each term in by .
Step 2.5.2
Simplify the left side.
Tap for more steps...
Step 2.5.2.1
Dividing two negative values results in a positive value.
Step 2.5.2.2
Divide by .
Step 2.5.3
Simplify the right side.
Tap for more steps...
Step 2.5.3.1
Move the negative one from the denominator of .
Step 2.5.3.2
Rewrite as .
Step 2.5.3.3
Multiply by .