# Solve for n 1/(3/(5/12))=3/(5/n) Rewrite the equation as .
Factor each term.
Multiply the numerator by the reciprocal of the denominator.
Combine and .
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply and .
Multiply by .
Set up the rational expression with the same denominator over the entire equation.
Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Multiply by .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Multiply by .
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for n 1/(3/(5/12))=3/(5/n)

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