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\frac{3\times 2}{10\times 5}x=600
Multiply \frac{3}{10} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{50}x=600
Do the multiplications in the fraction \frac{3\times 2}{10\times 5}.
\frac{3}{25}x=600
Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.
x=600\times \frac{25}{3}
Multiply both sides by \frac{25}{3}, the reciprocal of \frac{3}{25}.
x=\frac{600\times 25}{3}
Express 600\times \frac{25}{3} as a single fraction.
x=\frac{15000}{3}
Multiply 600 and 25 to get 15000.
x=5000
Divide 15000 by 3 to get 5000.