Basic Math Examples

Solve for a 10/(a+b)=4/a
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
Simplify .
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Step 2.1.1
Simplify by multiplying through.
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Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Reorder.
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Step 2.1.1.2.1
Move to the left of .
Step 2.1.1.2.2
Move to the left of .
Step 2.1.2
Multiply by .
Step 2.2
Move all terms containing to the left side of the equation.
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Step 2.2.1
Subtract from both sides of the equation.
Step 2.2.2
Subtract from .
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.