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\frac{\left(3y+2m\sigma \right)\times 5}{15yr_{10}mo}
Divide 3y+2m\sigma by \frac{15yr_{10}mo}{5} by multiplying 3y+2m\sigma by the reciprocal of \frac{15yr_{10}mo}{5}.
\frac{3y+2m\sigma }{3mor_{10}y}
Cancel out 5 in both numerator and denominator.
\frac{\left(3y+2m\sigma \right)\times 5}{15yr_{10}mo}
Divide 3y+2m\sigma by \frac{15yr_{10}mo}{5} by multiplying 3y+2m\sigma by the reciprocal of \frac{15yr_{10}mo}{5}.
\frac{3y+2m\sigma }{3mor_{10}y}
Cancel out 5 in both numerator and denominator.