Evaluate ((15/14*(-2/3))÷(1/4-2/3))÷( square root of 64/4)

Math
1514⋅(-23)÷(14-23)÷644
Rewrite the division as a fraction.
1514⋅(-23)÷(14-23)644
Cancel the common factor of 64 and 4.
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Factor 4 out of 64.
1514⋅(-23)÷(14-23)4⋅164
Cancel the common factors.
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Factor 4 out of 4.
1514⋅(-23)÷(14-23)4⋅164(1)
Cancel the common factor.
1514⋅(-23)÷(14-23)4⋅164⋅1
Rewrite the expression.
1514⋅(-23)÷(14-23)161
Divide 16 by 1.
1514⋅(-23)÷(14-23)16
1514⋅(-23)÷(14-23)16
1514⋅(-23)÷(14-23)16
Multiply the numerator by the reciprocal of the denominator.
1514⋅(-23)÷(14-23)⋅116
Rewrite the division as a fraction.
1514⋅(-23)14-23⋅116
Simplify the numerator.
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Combine 1514 and -1.
15⋅-114⋅2314-23⋅116
Multiply 15⋅-114 and 23.
15⋅-1⋅214⋅314-23⋅116
15⋅-1⋅214⋅314-23⋅116
Simplify the denominator.
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To write 14 as a fraction with a common denominator, multiply by 33.
15⋅-1⋅214⋅314⋅33-23⋅116
To write -23 as a fraction with a common denominator, multiply by 44.
15⋅-1⋅214⋅314⋅33-23⋅44⋅116
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 14 and 33.
15⋅-1⋅214⋅334⋅3-23⋅44⋅116
Multiply 4 by 3.
15⋅-1⋅214⋅3312-23⋅44⋅116
Multiply 23 and 44.
15⋅-1⋅214⋅3312-2⋅43⋅4⋅116
Multiply 3 by 4.
15⋅-1⋅214⋅3312-2⋅412⋅116
15⋅-1⋅214⋅3312-2⋅412⋅116
Combine the numerators over the common denominator.
15⋅-1⋅214⋅33-2⋅412⋅116
Simplify the numerator.
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Multiply -2 by 4.
15⋅-1⋅214⋅33-812⋅116
Subtract 8 from 3.
15⋅-1⋅214⋅3-512⋅116
15⋅-1⋅214⋅3-512⋅116
Move the negative in front of the fraction.
15⋅-1⋅214⋅3-512⋅116
15⋅-1⋅214⋅3-512⋅116
Simplify the numerator.
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Multiply 15 by -1.
-15⋅214⋅3-512⋅116
Multiply -15 by 2.
-3014⋅3-512⋅116
-3014⋅3-512⋅116
Multiply 14 by 3.
-3042-512⋅116
Reduce the expression by cancelling the common factors.
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Cancel the common factor of -30 and 42.
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Factor 6 out of -30.
6(-5)42-512⋅116
Cancel the common factors.
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Factor 6 out of 42.
6⋅-56⋅7-512⋅116
Cancel the common factor.
6⋅-56⋅7-512⋅116
Rewrite the expression.
-57-512⋅116
-57-512⋅116
-57-512⋅116
Move the negative in front of the fraction.
-57-512⋅116
-57-512⋅116
Dividing two negative values results in a positive value.
57512⋅116
Multiply the numerator by the reciprocal of the denominator.
57⋅125116
Simplify terms.
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Cancel the common factor of 5.
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Cancel the common factor.
57⋅125116
Rewrite the expression.
17⋅12116
17⋅12116
Combine 17 and 12.
127⋅116
127⋅116
Simplify the denominator.
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Rewrite 16 as 42.
127⋅142
Pull terms out from under the radical, assuming positive real numbers.
127⋅14
127⋅14
Cancel the common factor of 4.
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Factor 4 out of 12.
4(3)7⋅14
Cancel the common factor.
4⋅37⋅14
Rewrite the expression.
37
37
The result can be shown in multiple forms.
Exact Form:
37
Decimal Form:
0.428571‾
Evaluate ((15/14*(-2/3))÷(1/4-2/3))÷( square root of 64/4)

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