Multiply (-4 5/9)÷((-7/8)-3/4)

Math
-459÷((-78)-34)
Convert 459 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-(4+59)(-78)-34
Add 4 and 59.
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To write 4 as a fraction with a common denominator, multiply by 99.
-(4⋅99+59)(-78)-34
Combine 4 and 99.
-(4⋅99+59)(-78)-34
Combine the numerators over the common denominator.
-4⋅9+59(-78)-34
Simplify the numerator.
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Multiply 4 by 9.
-36+59(-78)-34
Add 36 and 5.
-419(-78)-34
-419(-78)-34
-419(-78)-34
-419(-78)-34
Multiply the numerator by the reciprocal of the denominator.
-419⋅1(-78)-34
Simplify the denominator.
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To write -34 as a fraction with a common denominator, multiply by 22.
-419⋅1-78-34⋅22
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 34 and 22.
-419⋅1-78-3⋅24⋅2
Multiply 4 by 2.
-419⋅1-78-3⋅28
-419⋅1-78-3⋅28
Combine the numerators over the common denominator.
-419⋅1-7-3⋅28
Simplify the numerator.
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Multiply -3 by 2.
-419⋅1-7-68
Subtract 6 from -7.
-419⋅1-138
-419⋅1-138
Move the negative in front of the fraction.
-419⋅1-138
-419⋅1-138
Cancel the common factor of 1 and -1.
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Rewrite 1 as -1(-1).
-419⋅-1(-1)-138
Move the negative in front of the fraction.
-419(-1138)
-419(-1138)
Multiply the numerator by the reciprocal of the denominator.
-419(-(1(813)))
Multiply 813 by 1.
-419(-813)
Multiply -419(-813).
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Multiply -1 by -1.
1(419)813
Multiply 419 by 1.
419⋅813
Multiply 419 and 813.
41⋅89⋅13
Multiply 41 by 8.
3289⋅13
Multiply 9 by 13.
328117
328117
The result can be shown in multiple forms.
Exact Form:
328117
Decimal Form:
2.80341880…
Mixed Number Form:
294117
Multiply (-4 5/9)÷((-7/8)-3/4)

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