Solve for b (ca)/b=(fd)/e

Problem

(c*a)/b=(ƒ*d)/e

Solution

1. Identify the equation where the variable b is in the denominator of the left side.

(c*a)/b=(ƒ*d)/e

2. Cross-multiply to eliminate the fractions by multiplying the numerator of each side by the denominator of the other.

c*a⋅e=ƒ*d⋅b

3. Rearrange the equation to place the term containing b on the left side.

ƒ*d⋅b=c*a*e

4. Isolate b by dividing both sides of the equation by the product ƒ*d

b=(c*a*e)/(ƒ*d)

Final Answer

(c*a)/b=(ƒ*d)/e⇒b=(c*a*e)/(ƒ*d)

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