Basic Math Examples

Solve for b 6/(b-1)=9/7
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 .
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Step 2.1
Rewrite the equation as .
Step 2.2
Multiply by .
Step 2.3
Divide each term in by and simplify.
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Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
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Step 2.3.2.1
Cancel the common factor of .
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Step 2.3.2.1.1
Cancel the common factor.
Step 2.3.2.1.2
Divide by .
Step 2.3.3
Simplify the right side.
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Step 2.3.3.1
Cancel the common factor of and .
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Step 2.3.3.1.1
Factor out of .
Step 2.3.3.1.2
Cancel the common factors.
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Step 2.3.3.1.2.1
Factor out of .
Step 2.3.3.1.2.2
Cancel the common factor.
Step 2.3.3.1.2.3
Rewrite the expression.
Step 2.4
Move all terms not containing to the right side of the equation.
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Step 2.4.1
Add to both sides of the equation.
Step 2.4.2
Write as a fraction with a common denominator.
Step 2.4.3
Combine the numerators over the common denominator.
Step 2.4.4
Add and .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: