Evaluate |(-(12/34-36/34)+(12/4-3/4))*((2/3-5/4)-(6/4*4/3))|

Math
|(-(1234-3634)+(124-34))⋅((23-54)-(64⋅43))|
Remove parentheses.
|(-(1234-3634)+124-34)⋅((23-54)-(64⋅43))|
Simplify terms.
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Combine fractions with similar denominators.
|(-(1234-3634)+12-34)⋅((23-54)-(64⋅43))|
Reduce the expression 1234 by cancelling the common factors.
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Factor 2 out of 12.
|(-(2(6)34-3634)+12-34)⋅((23-54)-(64⋅43))|
Factor 2 out of 34.
|(-(2⋅62⋅17-3634)+12-34)⋅((23-54)-(64⋅43))|
Cancel the common factor.
|(-(2⋅62⋅17-3634)+12-34)⋅((23-54)-(64⋅43))|
Rewrite the expression.
|(-(617-3634)+12-34)⋅((23-54)-(64⋅43))|
|(-(617-3634)+12-34)⋅((23-54)-(64⋅43))|
Reduce the expression 3634 by cancelling the common factors.
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Factor 2 out of 36.
|(-(617-2(18)34)+12-34)⋅((23-54)-(64⋅43))|
Factor 2 out of 34.
|(-(617-2⋅182⋅17)+12-34)⋅((23-54)-(64⋅43))|
Cancel the common factor.
|(-(617-2⋅182⋅17)+12-34)⋅((23-54)-(64⋅43))|
Rewrite the expression.
|(-(617-1817)+12-34)⋅((23-54)-(64⋅43))|
|(-(617-1817)+12-34)⋅((23-54)-(64⋅43))|
Subtract 3 from 12.
|(-(617-1817)+94)⋅((23-54)-(64⋅43))|
|(-(617-1817)+94)⋅((23-54)-(64⋅43))|
Simplify each term.
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Combine the numerators over the common denominator.
|(-6-1817+94)⋅((23-54)-(64⋅43))|
Subtract 18 from 6.
|(–1217+94)⋅((23-54)-(64⋅43))|
Move the negative in front of the fraction.
|(–1217+94)⋅((23-54)-(64⋅43))|
Multiply –1217.
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Multiply -1 by -1.
|(1(1217)+94)⋅((23-54)-(64⋅43))|
Multiply 1217 by 1.
|(1217+94)⋅((23-54)-(64⋅43))|
|(1217+94)⋅((23-54)-(64⋅43))|
|(1217+94)⋅((23-54)-(64⋅43))|
To write 1217 as a fraction with a common denominator, multiply by 44.
|(1217⋅44+94)⋅((23-54)-(64⋅43))|
To write 94 as a fraction with a common denominator, multiply by 1717.
|(1217⋅44+94⋅1717)⋅((23-54)-(64⋅43))|
Write each expression with a common denominator of 68, by multiplying each by an appropriate factor of 1.
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Multiply 1217 and 44.
|(12⋅417⋅4+94⋅1717)⋅((23-54)-(64⋅43))|
Multiply 17 by 4.
|(12⋅468+94⋅1717)⋅((23-54)-(64⋅43))|
Multiply 94 and 1717.
|(12⋅468+9⋅174⋅17)⋅((23-54)-(64⋅43))|
Multiply 4 by 17.
|(12⋅468+9⋅1768)⋅((23-54)-(64⋅43))|
|(12⋅468+9⋅1768)⋅((23-54)-(64⋅43))|
Combine the numerators over the common denominator.
|12⋅4+9⋅1768⋅((23-54)-(64⋅43))|
Simplify the numerator.
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Multiply 12 by 4.
|48+9⋅1768⋅((23-54)-(64⋅43))|
Multiply 9 by 17.
|48+15368⋅((23-54)-(64⋅43))|
Add 48 and 153.
|20168⋅((23-54)-(64⋅43))|
|20168⋅((23-54)-(64⋅43))|
Simplify each term.
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Cancel the common factor of 3.
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Factor 3 out of 6.
|20168⋅(23-54-(3(2)4⋅43))|
Cancel the common factor.
|20168⋅(23-54-(3⋅24⋅43))|
Rewrite the expression.
|20168⋅(23-54-(24⋅4))|
|20168⋅(23-54-(24⋅4))|
Cancel the common factor of 4.
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Cancel the common factor.
|20168⋅(23-54-(24⋅4))|
Rewrite the expression.
|20168⋅(23-54-1⋅2)|
|20168⋅(23-54-1⋅2)|
Multiply -1 by 2.
|20168⋅(23-54-2)|
|20168⋅(23-54-2)|
To write 23 as a fraction with a common denominator, multiply by 44.
|20168⋅(23⋅44-54-2)|
To write -54 as a fraction with a common denominator, multiply by 33.
|20168⋅(23⋅44-54⋅33-2)|
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 23 and 44.
|20168⋅(2⋅43⋅4-54⋅33-2)|
Multiply 3 by 4.
|20168⋅(2⋅412-54⋅33-2)|
Multiply 54 and 33.
|20168⋅(2⋅412-5⋅34⋅3-2)|
Multiply 4 by 3.
|20168⋅(2⋅412-5⋅312-2)|
|20168⋅(2⋅412-5⋅312-2)|
Combine the numerators over the common denominator.
|20168⋅(2⋅4-5⋅312-2)|
Simplify the numerator.
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Multiply 2 by 4.
|20168⋅(8-5⋅312-2)|
Multiply -5 by 3.
|20168⋅(8-1512-2)|
Subtract 15 from 8.
|20168⋅(-712-2)|
|20168⋅(-712-2)|
Move the negative in front of the fraction.
|20168⋅(-712-2)|
To write -2 as a fraction with a common denominator, multiply by 1212.
|20168⋅(-712-2⋅1212)|
Combine -2 and 1212.
|20168⋅(-712+-2⋅1212)|
Combine the numerators over the common denominator.
|20168⋅-7-2⋅1212|
Simplify the numerator.
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Multiply -2 by 12.
|20168⋅-7-2412|
Subtract 24 from -7.
|20168⋅-3112|
|20168⋅-3112|
Cancel the common factor of 3.
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Factor 3 out of 201.
|3(67)68⋅-3112|
Factor 3 out of 12.
|3⋅6768⋅-313⋅4|
Cancel the common factor.
|3⋅6768⋅-313⋅4|
Rewrite the expression.
|6768⋅-314|
|6768⋅-314|
Multiply 6768 and -314.
|67⋅-3168⋅4|
Simplify the expression.
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Multiply 67 by -31.
|-207768⋅4|
Multiply 68 by 4.
|-2077272|
Move the negative in front of the fraction.
|-2077272|
|-2077272|
-2077272 is approximately -7.63602941 which is negative so negate -2077272 and remove the absolute value
2077272
The result can be shown in multiple forms.
Exact Form:
2077272
Decimal Form:
7.63602941…
Mixed Number Form:
7173272
Evaluate |(-(12/34-36/34)+(12/4-3/4))*((2/3-5/4)-(6/4*4/3))|

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