Pre-Algebra Examples

Solve for a 5/6-a/4=1/3
Step 1
Move all terms not containing to the right side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Subtract from .
Step 1.6
Cancel the common factor of and .
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Step 1.6.1
Factor out of .
Step 1.6.2
Cancel the common factors.
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Step 1.6.2.1
Factor out of .
Step 1.6.2.2
Cancel the common factor.
Step 1.6.2.3
Rewrite the expression.
Step 1.7
Move the negative in front of the fraction.
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Cancel the common factor of .
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Step 3.1.1.1.1
Move the leading negative in into the numerator.
Step 3.1.1.1.2
Factor out of .
Step 3.1.1.1.3
Cancel the common factor.
Step 3.1.1.1.4
Rewrite the expression.
Step 3.1.1.2
Multiply.
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Step 3.1.1.2.1
Multiply by .
Step 3.1.1.2.2
Multiply by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Cancel the common factor of .
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Step 3.2.1.1.1
Move the leading negative in into the numerator.
Step 3.2.1.1.2
Factor out of .
Step 3.2.1.1.3
Cancel the common factor.
Step 3.2.1.1.4
Rewrite the expression.
Step 3.2.1.2
Multiply by .