Question

find fractional error R=X/X+Y​

Answer 1

Answer:

∆R/R = ∆x/x -∆x/x -∆y/y

∆R/R=-∆y/y

Answer 2

Given: R = X / X + Y​

To find: The fractional error in the above term.

Solution:

• Now we have given the term  R=X/X+Y​

• We know the formula for:

              If z = a^m/b^n

• Then fractional error in z will be:

             Δz/z = mΔa/a + nΔb/b

• So applying this, we get:

             ΔR / R = ΔX/X + Δ(X+Y)/(X+Y)

Answer:

          So the fractional error is ΔX/X + Δ(X+Y)/(X+Y)