Evaluate ((9/28)÷(36/5))-(9/28*36/5)

Math
(928÷365)-(928⋅365)
Simplify each term.
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To divide by a fraction, multiply by its reciprocal.
928⋅536-(928⋅365)
Cancel the common factor of 9.
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Factor 9 out of 36.
928⋅59(4)-(928⋅365)
Cancel the common factor.
928⋅59⋅4-(928⋅365)
Rewrite the expression.
128⋅54-(928⋅365)
128⋅54-(928⋅365)
Multiply 128 and 54.
528⋅4-(928⋅365)
Multiply 28 by 4.
5112-(928⋅365)
Cancel the common factor of 4.
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Factor 4 out of 28.
5112-(94(7)⋅365)
Factor 4 out of 36.
5112-(94⋅7⋅4⋅95)
Cancel the common factor.
5112-(94⋅7⋅4⋅95)
Rewrite the expression.
5112-(97⋅95)
5112-(97⋅95)
Multiply 97 and 95.
5112-9⋅97⋅5
Multiply 9 by 9.
5112-817⋅5
Multiply 7 by 5.
5112-8135
5112-8135
To write 5112 as a fraction with a common denominator, multiply by 55.
5112⋅55-8135
To write -8135 as a fraction with a common denominator, multiply by 1616.
5112⋅55-8135⋅1616
Write each expression with a common denominator of 560, by multiplying each by an appropriate factor of 1.
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Multiply 5112 and 55.
5⋅5112⋅5-8135⋅1616
Multiply 112 by 5.
5⋅5560-8135⋅1616
Multiply 8135 and 1616.
5⋅5560-81⋅1635⋅16
Multiply 35 by 16.
5⋅5560-81⋅16560
5⋅5560-81⋅16560
Combine the numerators over the common denominator.
5⋅5-81⋅16560
Simplify the numerator.
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Multiply 5 by 5.
25-81⋅16560
Multiply -81 by 16.
25-1296560
Subtract 1296 from 25.
-1271560
-1271560
Move the negative in front of the fraction.
-1271560
The result can be shown in multiple forms.
Exact Form:
-1271560
Decimal Form:
-2.26964285…
Mixed Number Form:
-2151560
Evaluate ((9/28)÷(36/5))-(9/28*36/5)

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