Evaluate (4/5)÷(2/9)*1/2*(-5/6)

Math
45÷29⋅12⋅(-56)
To divide by a fraction, multiply by its reciprocal.
45⋅92⋅12⋅(-56)
Cancel the common factor of 2.
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Factor 2 out of 4.
2(2)5⋅92⋅12⋅(-56)
Cancel the common factor.
2⋅25⋅92⋅12⋅(-56)
Rewrite the expression.
25⋅9⋅12⋅(-56)
25⋅9⋅12⋅(-56)
Combine 25 and 9.
2⋅95⋅12⋅(-56)
Multiply 2 by 9.
185⋅12⋅(-56)
Cancel the common factor of 2.
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Factor 2 out of 18.
2(9)5⋅12⋅(-56)
Cancel the common factor.
2⋅95⋅12⋅(-56)
Rewrite the expression.
95⋅(-56)
95⋅(-56)
Cancel the common factor of 3.
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Move the leading negative in -56 into the numerator.
95⋅-56
Factor 3 out of 9.
3(3)5⋅-56
Factor 3 out of 6.
3⋅35⋅-53⋅2
Cancel the common factor.
3⋅35⋅-53⋅2
Rewrite the expression.
35⋅-52
35⋅-52
Cancel the common factor of 5.
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Factor 5 out of -5.
35⋅5(-1)2
Cancel the common factor.
35⋅5⋅-12
Rewrite the expression.
3⋅-12
3⋅-12
Combine 3 and -12.
3⋅-12
Simplify the expression.
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Multiply 3 by -1.
-32
Move the negative in front of the fraction.
-32
-32
The result can be shown in multiple forms.
Exact Form:
-32
Decimal Form:
-1.5
Mixed Number Form:
-112
Evaluate (4/5)÷(2/9)*1/2*(-5/6)

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