Evaluate (2!*4!*6!)/(1!*7!)

Math
2!⋅4!⋅6!1!⋅7!
Rewrite 7! as 7⋅6!.
2!⋅4!⋅6!1!⋅(7⋅6!)
Cancel the common factor of 6!.
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Cancel the common factor.
2!⋅4!⋅6!1!⋅(7⋅6!)
Rewrite the expression.
2!⋅4!1!⋅(7)
2!⋅4!1!⋅(7)
Simplify the numerator.
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Expand 2! to 2⋅1.
2⋅14!1!⋅7
Multiply 2 by 1.
24!1!⋅7
Expand 4! to 4⋅3⋅2⋅1.
2(4⋅3⋅2⋅1)1!⋅7
Simplify.
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Multiply 4 by 3.
2(12⋅2⋅1)1!⋅7
Multiply 12 by 2.
2(24⋅1)1!⋅7
Multiply 24 by 1.
2⋅241!⋅7
2⋅241!⋅7
2⋅241!⋅7
Simplify the denominator.
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Expand 1! to 1.
2⋅241⋅7
Multiply 7 by 1.
2⋅247
2⋅247
Multiply 2 by 24.
487
The result can be shown in multiple forms.
Exact Form:
487
Decimal Form:
6.857142‾
Mixed Number Form:
667
Evaluate (2!*4!*6!)/(1!*7!)

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