Pre-Algebra Examples

Simplify (1-7/x)/(x-49/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
Move the leading negative in into the numerator.
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
Move the leading negative in into the numerator.
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 4
Multiply by .
Step 5
Simplify the denominator.
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Step 5.1
Raise to the power of .
Step 5.2
Raise to the power of .
Step 5.3
Use the power rule to combine exponents.
Step 5.4
Add and .
Step 5.5
Rewrite as .
Step 5.6
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 6
Cancel the common factor of .
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Step 6.1
Cancel the common factor.
Step 6.2
Rewrite the expression.