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Algebra Examples
Step 1
Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Simplify terms.
Step 1.2.1
Combine and .
Step 1.2.2
Combine the numerators over the common denominator.
Step 1.3
Simplify the numerator.
Step 1.3.1
Apply the distributive property.
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Subtract from .
Step 1.4
Simplify with factoring out.
Step 1.4.1
Factor out of .
Step 1.4.2
Rewrite as .
Step 1.4.3
Factor out of .
Step 1.4.4
Simplify the expression.
Step 1.4.4.1
Rewrite as .
Step 1.4.4.2
Move the negative in front of the fraction.
Step 2
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 3
Step 3.1
Apply the distributive property.
Step 3.2
Multiply.
Step 3.2.1
Multiply by .
Step 3.2.2
Multiply by .
Step 4
Step 4.1
Add to both sides of the equation.
Step 4.2
Add and .
Step 5
Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
Step 5.2.1
Cancel the common factor of .
Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
Step 5.3.1
Move the negative in front of the fraction.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: