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\frac{5}{6}x+\frac{100y}{115}
Divide 100x by 120 to get \frac{5}{6}x.
\frac{5}{6}x+\frac{20}{23}y
Divide 100y by 115 to get \frac{20}{23}y.
\frac{5\left(23x+24y\right)}{138}
Factor out \frac{5}{138}.