# 1/r = 1/r1 + 1/r2?

Solve for R given the rational expression , relating the total resistance of R of an electrical circuit containing two resistances in parallel R1 & R2

Let Voltage = V

1/R = (R1 + R2) ÷ V

Invert...

R/1 = V ÷ (R1 + R2)

R = V ÷ (R1+R2)

in parallel circuits for resistance;it is the product over the sum.

1/r=1/r1 +1/r2

1/r=(r2+r1)/r1r2

cross multiplication;

r1r2/(r2+r1)=r

1/r=1/r1+1r2

1/r=(r2+r1) / (r1*r2)

cross multiply:

1(r1*r2)=r(r2+r1)

divide both sides by (r2+r1):

r=(r1*r2) / (r2+r1)

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**Answer:**Let Voltage = V

1/R = (R1 + R2) ÷ V

Invert...

R/1 = V ÷ (R1 + R2)

R = V ÷ (R1+R2)

in parallel circuits for resistance;it is the product over the sum.

1/r=1/r1 +1/r2

1/r=(r2+r1)/r1r2

cross multiplication;

r1r2/(r2+r1)=r

1/r=1/r1+1r2

1/r=(r2+r1) / (r1*r2)

cross multiply:

1(r1*r2)=r(r2+r1)

divide both sides by (r2+r1):

r=(r1*r2) / (r2+r1)

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