Basic Math Examples

Solve for r 3/4r+3/2r=9/4
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Combine and .
Step 1.1.2
Combine and .
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
Simplify the numerator.
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Step 1.5.1
Factor out of .
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Step 1.5.1.1
Factor out of .
Step 1.5.1.2
Factor out of .
Step 1.5.1.3
Factor out of .
Step 1.5.2
Add and .
Step 1.5.3
Multiply by .
Step 2
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Divide by .