Basic Math Examples

Evaluate (((7/4)^2-7/4*3/2)/5)/12-(11/24)/(1/2)
Step 1
Simplify each term.
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Step 1.1
Multiply the numerator by the reciprocal of the denominator.
Step 1.2
Simplify the numerator.
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Step 1.2.1
Apply the product rule to .
Step 1.2.2
Raise to the power of .
Step 1.2.3
Raise to the power of .
Step 1.2.4
Multiply .
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Step 1.2.4.1
Multiply by .
Step 1.2.4.2
Multiply by .
Step 1.2.4.3
Multiply by .
Step 1.2.5
To write as a fraction with a common denominator, multiply by .
Step 1.2.6
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.2.6.1
Multiply by .
Step 1.2.6.2
Multiply by .
Step 1.2.7
Combine the numerators over the common denominator.
Step 1.2.8
Simplify the numerator.
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Step 1.2.8.1
Multiply by .
Step 1.2.8.2
Subtract from .
Step 1.3
Multiply the numerator by the reciprocal of the denominator.
Step 1.4
Multiply .
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.5
Multiply .
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Step 1.5.1
Multiply by .
Step 1.5.2
Multiply by .
Step 1.6
Multiply the numerator by the reciprocal of the denominator.
Step 1.7
Cancel the common factor of .
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Step 1.7.1
Factor out of .
Step 1.7.2
Cancel the common factor.
Step 1.7.3
Rewrite the expression.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 4
Combine the numerators over the common denominator.
Step 5
Simplify the numerator.
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Step 5.1
Multiply by .
Step 5.2
Subtract from .
Step 6
Cancel the common factor of and .
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Step 6.1
Factor out of .
Step 6.2
Cancel the common factors.
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Step 6.2.1
Factor out of .
Step 6.2.2
Cancel the common factor.
Step 6.2.3
Rewrite the expression.
Step 7
Move the negative in front of the fraction.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: