Rewrite as a simplified fraction.
\large{N1.\overline{N2} = {?}}
N4
Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.
\large{\begin{align*}MULT1x &= RES1...\\
MULT2x &= RES2...\end{align*}}
Subtracting the two equations, we have:
\large{(MULT1 - MULT2)x = DIFF}
\large{x = fraction( DIFF, MULT1 - MULT2 )}\quad \text{or} \quad\large{mixedFractionFromImproper( DIFF, MULT1 - MULT2 )}
\large{x = fraction( toFraction( N4 )[ 0 ], toFraction( N4 )[ 1 ])}\quad \text{or} \quad\large{mixedFractionFromImproper( toFraction( N4 )[ 0 ], toFraction( N4 )[ 1 ] )}