# Solve for n 28/100=96/n

28100=96n
Rewrite the equation as 96n=28100.
96n=28100
Cancel the common factor of 28 and 100.
Factor 4 out of 28.
96n=4(7)100
Cancel the common factors.
Factor 4 out of 100.
96n=4⋅74⋅25
Cancel the common factor.
96n=4⋅74⋅25
Rewrite the expression.
96n=725
96n=725
96n=725
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
96⋅25=n⋅7
Solve the equation for n.
Rewrite the equation as n⋅7=96⋅25.
n⋅7=96⋅25
Multiply 96 by 25.
n⋅7=2400
Divide each term by 7 and simplify.
Divide each term in n⋅7=2400 by 7.
n⋅77=24007
Cancel the common factor of 7.
Cancel the common factor.
n⋅77=24007
Divide n by 1.
n=24007
n=24007
n=24007
n=24007
The result can be shown in multiple forms.
Exact Form:
n=24007
Decimal Form:
n=342.85714285…
Mixed Number Form:
n=34267
Solve for n 28/100=96/n

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