Remove parentheses.
\[r\times \frac{ADeltaABC}{ADeltaPQR}=\frac{16}{25}\]
Cancel \(a\).
\[r\times \frac{ADeltABC}{ADeltPQR}=\frac{16}{25}\]
Cancel \(t\).
\[r\times \frac{ADelABC}{ADelPQR}=\frac{16}{25}\]
Cancel \(l\).
\[r\times \frac{ADeABC}{ADePQR}=\frac{16}{25}\]
Cancel \(De\).
\[r\times \frac{AABC}{APQR}=\frac{16}{25}\]
Cancel \(A\).
\[r\times \frac{ABC}{PQR}=\frac{16}{25}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{rABC}{PQR}=\frac{16}{25}\]
Multiply both sides by \(PQR\).
\[rABC=\frac{16}{25}PQR\]
Simplify \(\frac{16}{25}PQR\) to \(\frac{16PQR}{25}\).
\[rABC=\frac{16PQR}{25}\]
Divide both sides by \(ABC\).
\[r=\frac{\frac{16PQR}{25}}{ABC}\]
Simplify \(\frac{\frac{16PQR}{25}}{ABC}\) to \(\frac{16PQR}{25ABC}\).
\[r=\frac{16PQR}{25ABC}\]
r=(16*PQR)/(25*ABC)