Evaluate (12/35)(45/53)-35/3728/53

Math
(1235)(4553)-3537⋅2853
Simplify each term.
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Cancel the common factor of 5.
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Factor 5 out of 35.
125(7)⋅4553-3537⋅2853
Factor 5 out of 45.
125⋅7⋅5⋅953-3537⋅2853
Cancel the common factor.
125⋅7⋅5⋅953-3537⋅2853
Rewrite the expression.
127⋅953-3537⋅2853
127⋅953-3537⋅2853
Multiply 127 and 953.
12⋅97⋅53-3537⋅2853
Multiply 12 by 9.
1087⋅53-3537⋅2853
Multiply 7 by 53.
108371-3537⋅2853
Multiply -3537⋅2853.
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Multiply 2853 and 3537.
108371-28⋅3553⋅37
Multiply 28 by 35.
108371-98053⋅37
Multiply 53 by 37.
108371-9801961
108371-9801961
108371-9801961
To write 108371 as a fraction with a common denominator, multiply by 3737.
108371⋅3737-9801961
To write -9801961 as a fraction with a common denominator, multiply by 77.
108371⋅3737-9801961⋅77
Write each expression with a common denominator of 13727, by multiplying each by an appropriate factor of 1.
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Multiply 108371 and 3737.
108⋅37371⋅37-9801961⋅77
Multiply 371 by 37.
108⋅3713727-9801961⋅77
Multiply 9801961 and 77.
108⋅3713727-980⋅71961⋅7
Multiply 1961 by 7.
108⋅3713727-980⋅713727
108⋅3713727-980⋅713727
Combine the numerators over the common denominator.
108⋅37-980⋅713727
Simplify the numerator.
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Multiply 108 by 37.
3996-980⋅713727
Multiply -980 by 7.
3996-686013727
Subtract 6860 from 3996.
-286413727
-286413727
Move the negative in front of the fraction.
-286413727
The result can be shown in multiple forms.
Exact Form:
-286413727
Decimal Form:
-0.20863990…
Evaluate (12/35)(45/53)-35/3728/53

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