Basic Math Examples

Evaluate |((7/5-3/5-1/2)(1-5/6)^-2)/(3/5+2/4)|
Step 1
Reduce the expression by cancelling the common factors.
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Step 1.1
Move to the denominator using the negative exponent rule .
Step 1.2
Cancel the common factor of and .
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factors.
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Step 1.2.2.1
Factor out of .
Step 1.2.2.2
Cancel the common factor.
Step 1.2.2.3
Rewrite the expression.
Step 2
Simplify the numerator.
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Step 2.1
Combine the numerators over the common denominator.
Step 2.2
Subtract from .
Step 2.3
To write as a fraction with a common denominator, multiply by .
Step 2.4
To write as a fraction with a common denominator, multiply by .
Step 2.5
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.5.1
Multiply by .
Step 2.5.2
Multiply by .
Step 2.5.3
Multiply by .
Step 2.5.4
Multiply by .
Step 2.6
Combine the numerators over the common denominator.
Step 2.7
Simplify the numerator.
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Step 2.7.1
Multiply by .
Step 2.7.2
Subtract from .
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
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.3.3
Multiply by .
Step 3.3.4
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Multiply by .
Step 3.5.2
Add and .
Step 3.6
Write as a fraction with a common denominator.
Step 3.7
Combine the numerators over the common denominator.
Step 3.8
Subtract from .
Step 3.9
Apply the product rule to .
Step 3.10
One to any power is one.
Step 3.11
Raise to the power of .
Step 4
Combine fractions.
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Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 5
Multiply the numerator by the reciprocal of the denominator.
Step 6
Cancel the common factor of .
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Step 6.1
Factor out of .
Step 6.2
Cancel the common factor.
Step 6.3
Rewrite the expression.
Step 7
Combine and .
Step 8
Multiply by .
Step 9
is approximately which is positive so remove the absolute value
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: