28100=96n

Rewrite the equation as 96n=28100.

96n=28100

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

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