Evaluate (42-54(176+(17(8/76))/54)-32)/193

Math
42-54(176+17(876)54)-32193
Simplify terms.
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Cancel the common factor of 8 and 76.
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Factor 4 out of 8.
42-54(176+174(2)7654)-32193
Cancel the common factors.
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Factor 4 out of 76.
42-54(176+174⋅24⋅1954)-32193
Cancel the common factor.
42-54(176+174⋅24⋅1954)-32193
Rewrite the expression.
42-54(176+17(219)54)-32193
42-54(176+17(219)54)-32193
42-54(176+17(219)54)-32193
Combine 17 and 219.
42-54(176+17⋅21954)-32193
Multiply 17 by 2.
42-54(176+341954)-32193
42-54(176+341954)-32193
Simplify the numerator.
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Simplify each term.
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Multiply the numerator by the reciprocal of the denominator.
42-54(176+3419⋅154)-32193
Cancel the common factor of 2.
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Factor 2 out of 34.
42-54(176+2(17)19⋅154)-32193
Factor 2 out of 54.
42-54(176+2⋅1719⋅12⋅27)-32193
Cancel the common factor.
42-54(176+2⋅1719⋅12⋅27)-32193
Rewrite the expression.
42-54(176+1719⋅127)-32193
42-54(176+1719⋅127)-32193
Multiply 1719 and 127.
42-54(176+1719⋅27)-32193
Multiply 19 by 27.
42-54(176+17513)-32193
42-54(176+17513)-32193
To write 176 as a fraction with a common denominator, multiply by 513513.
42-54(176⋅513513+17513)-32193
Combine 176 and 513513.
42-54(176⋅513513+17513)-32193
Combine the numerators over the common denominator.
42-54176⋅513+17513-32193
Simplify the numerator.
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Multiply 176 by 513.
42-5490288+17513-32193
Add 90288 and 17.
42-54(90305513)-32193
42-54(90305513)-32193
Cancel the common factor of 27.
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Factor 27 out of -54.
42+27(-2)90305513-32193
Factor 27 out of 513.
42+27⋅-29030527⋅19-32193
Cancel the common factor.
42+27⋅-29030527⋅19-32193
Rewrite the expression.
42-2(9030519)-32193
42-2(9030519)-32193
Combine -2 and 9030519.
42+-2⋅9030519-32193
Multiply -2 by 90305.
42+-18061019-32193
Move the negative in front of the fraction.
42-18061019-32193
To write 42 as a fraction with a common denominator, multiply by 1919.
42⋅1919-18061019-32193
Combine 42 and 1919.
42⋅1919-18061019-32193
Combine the numerators over the common denominator.
42⋅19-18061019-32193
Simplify the numerator.
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Multiply 42 by 19.
798-18061019-32193
Subtract 180610 from 798.
-17981219-32193
-17981219-32193
To write -32 as a fraction with a common denominator, multiply by 1919.
-17981219-32⋅1919193
Combine -32 and 1919.
-17981219+-32⋅1919193
Combine the numerators over the common denominator.
-179812-32⋅1919193
Simplify the numerator.
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Multiply -32 by 19.
-179812-60819193
Subtract 608 from -179812.
-18042019193
-18042019193
Move the negative in front of the fraction.
-18042019193
-18042019193
Multiply the numerator by the reciprocal of the denominator.
-18042019⋅1193
Multiply -18042019⋅1193.
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Multiply 1193 and 18042019.
-180420193⋅19
Multiply 193 by 19.
-1804203667
-1804203667
The result can be shown in multiple forms.
Exact Form:
-1804203667
Decimal Form:
-49.20098172…
Mixed Number Form:
-497373667
Evaluate (42-54(176+(17(8/76))/54)-32)/193

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