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I=6400\times \frac{468}{10000}\times \frac{25}{12}
Expand \frac{4.68}{100} by multiplying both numerator and the denominator by 100.
I=6400\times \frac{117}{2500}\times \frac{25}{12}
Reduce the fraction \frac{468}{10000} to lowest terms by extracting and canceling out 4.
I=\frac{6400\times 117}{2500}\times \frac{25}{12}
Express 6400\times \frac{117}{2500} as a single fraction.
I=\frac{748800}{2500}\times \frac{25}{12}
Multiply 6400 and 117 to get 748800.
I=\frac{7488}{25}\times \frac{25}{12}
Reduce the fraction \frac{748800}{2500} to lowest terms by extracting and canceling out 100.
I=\frac{7488\times 25}{25\times 12}
Multiply \frac{7488}{25} times \frac{25}{12} by multiplying numerator times numerator and denominator times denominator.
I=\frac{7488}{12}
Cancel out 25 in both numerator and denominator.
I=624
Divide 7488 by 12 to get 624.