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I only know how to find the absolute and relative errors when, let say $a=0.123$ and $b=12.37$.

I first of all computed the maximum absolute error using rounding and in base 10. And use it to compute the relative error.

But I don't know how to go about this one.

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You must consider each piece separataly.

Say $$A=\frac b c\implies \frac{\Delta A} A=\frac{\Delta b} b+\frac{\Delta c} c\implies\frac{\Delta A} A=???\implies\Delta A=???$$ $$B= b c\implies \frac{\Delta B} B=\frac{\Delta b} b+\frac{\Delta c} c\implies\frac{\Delta B} B=???\implies\Delta B=???$$

Now $$\Delta \left(a+5\frac b c-3b c\right)=\Delta a+5\Delta A+3\Delta B$$ $$\frac{\Delta \left(a+5\frac b c-3b c\right)}{a+5\frac b c-3b c}=\frac{\Delta a+5\Delta A+3\Delta B }{a+5\frac b c-3b c}$$

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