Simplify \(\frac{100}{105}\) to \(\frac{20}{21}\).
\[6000(\frac{20}{21}\times 100\times 105)\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[6000\times \frac{20\times 100\times 105}{21}\]
Simplify \(20\times 100\) to \(2000\).
\[6000\times \frac{2000\times 105}{21}\]
Simplify \(2000\times 105\) to \(210000\).
\[6000\times \frac{210000}{21}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{6000\times 210000}{21}\]
Simplify \(6000\times 210000\) to \(1260000000\).
\[\frac{1260000000}{21}\]
Simplify.
\[60000000\]
60000000
