# Solve for t 1/r=1/(t-4)

1r=1t-4
Rewrite the equation as 1t-4=1r.
1t-4=1r
Set up the rational expression with the same denominator over the entire equation.
Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of r(t-4). The 1t-4 expression needs to be multiplied by rr to make the denominator r(t-4). The 1r expression needs to be multiplied by t-4t-4 to make the denominator r(t-4).
1t-4⋅rr=1r⋅t-4t-4
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of r(t-4).
1(r)
Multiply r by 1.
rr(t-4)=1r⋅t-4t-4
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of r(t-4).
1(t-4)
Multiply t-4 by 1.
rr(t-4)=t-4r(t-4)
rr(t-4)=t-4r(t-4)
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
r=t-4
Rewrite the equation as t-4=r.
t-4=r
Add 4 to both sides of the equation.
t=r+4
Solve for t 1/r=1/(t-4)

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