Pre-Algebra Examples

Evaluate ((6/5)^2)÷(6/5-1/15)
Step 1
Rewrite the division as a fraction.
Step 2
Simplify the numerator.
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Step 2.1
Apply the product rule to .
Step 2.2
Raise to the power of .
Step 2.3
Raise to the power of .
Step 3
Simplify the denominator.
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Step 3.1
To write as a fraction with a common denominator, multiply by .
Step 3.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.2.1
Multiply by .
Step 3.2.2
Multiply by .
Step 3.3
Combine the numerators over the common denominator.
Step 3.4
Simplify the numerator.
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Step 3.4.1
Multiply by .
Step 3.4.2
Subtract from .
Step 4
Multiply the numerator by the reciprocal of the denominator.
Step 5
Cancel the common factor of .
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Step 5.1
Factor out of .
Step 5.2
Factor out of .
Step 5.3
Cancel the common factor.
Step 5.4
Rewrite the expression.
Step 6
Multiply by .
Step 7
Multiply.
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Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: