Basic Math Examples

Simplify (10/(9x)+10/(3x^2))/(5/3+5/x)
Step 1
Multiply the numerator and denominator of the fraction by .
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Step 1.1
Multiply by .
Step 1.2
Combine.
Step 2
Apply the distributive property.
Step 3
Simplify by cancelling.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Cancel the common factor.
Step 3.1.3
Rewrite the expression.
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 3.3
Multiply by .
Step 3.4
Cancel the common factor of .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factor.
Step 3.4.3
Rewrite the expression.
Step 3.5
Multiply by .
Step 3.6
Cancel the common factor of .
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Step 3.6.1
Factor out of .
Step 3.6.2
Cancel the common factor.
Step 3.6.3
Rewrite the expression.
Step 3.7
Multiply by .
Step 4
Simplify terms.
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Step 4.1
Factor out of .
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Step 4.1.1
Factor out of .
Step 4.1.2
Factor out of .
Step 4.1.3
Factor out of .
Step 4.2
Factor out of .
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Step 4.2.1
Factor out of .
Step 4.2.2
Factor out of .
Step 4.2.3
Factor out of .
Step 4.3
Cancel the common factor of and .
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Step 4.3.1
Factor out of .
Step 4.3.2
Cancel the common factors.
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Step 4.3.2.1
Factor out of .
Step 4.3.2.2
Cancel the common factor.
Step 4.3.2.3
Rewrite the expression.
Step 4.4
Cancel the common factor of .
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Step 4.4.1
Cancel the common factor.
Step 4.4.2
Rewrite the expression.