# Evaluate 1/4*(23/6)^2-23/12*23/6-2/3

14⋅(236)2-2312⋅236-23
Simplify each term.
Apply the product rule to 236.
14⋅23262-2312⋅236-23
Raise 23 to the power of 2.
14⋅52962-2312⋅236-23
Raise 6 to the power of 2.
14⋅52936-2312⋅236-23
Multiply 14⋅52936.
Multiply 14 and 52936.
5294⋅36-2312⋅236-23
Multiply 4 by 36.
529144-2312⋅236-23
529144-2312⋅236-23
Multiply -2312⋅236.
Multiply 236 and 2312.
529144-23⋅236⋅12-23
Multiply 23 by 23.
529144-5296⋅12-23
Multiply 6 by 12.
529144-52972-23
529144-52972-23
529144-52972-23
To write -52972 as a fraction with a common denominator, multiply by 22.
529144-52972⋅22-23
Write each expression with a common denominator of 144, by multiplying each by an appropriate factor of 1.
Multiply 52972 and 22.
529144-529⋅272⋅2-23
Multiply 72 by 2.
529144-529⋅2144-23
529144-529⋅2144-23
Combine the numerators over the common denominator.
529-529⋅2144-23
Simplify the numerator.
Multiply -529 by 2.
529-1058144-23
Subtract 1058 from 529.
-529144-23
-529144-23
Move the negative in front of the fraction.
-529144-23
To write -23 as a fraction with a common denominator, multiply by 4848.
-529144-23⋅4848
Write each expression with a common denominator of 144, by multiplying each by an appropriate factor of 1.
Multiply 23 and 4848.
-529144-2⋅483⋅48
Multiply 3 by 48.
-529144-2⋅48144
-529144-2⋅48144
Combine the numerators over the common denominator.
-529-2⋅48144
Simplify the numerator.
Multiply -2 by 48.
-529-96144
Subtract 96 from -529.
-625144
-625144
Move the negative in front of the fraction.
-625144
The result can be shown in multiple forms.
Exact Form:
-625144
Decimal Form:
-4.34027‾
Mixed Number Form:
-449144
Evaluate 1/4*(23/6)^2-23/12*23/6-2/3

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