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\frac{3}{4}\times \frac{90}{100}x=4050
Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
\frac{3}{4}\times \frac{9}{10}x=4050
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
\frac{3\times 9}{4\times 10}x=4050
Multiply \frac{3}{4} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{27}{40}x=4050
Do the multiplications in the fraction \frac{3\times 9}{4\times 10}.
x=4050\times \frac{40}{27}
Multiply both sides by \frac{40}{27}, the reciprocal of \frac{27}{40}.
x=\frac{4050\times 40}{27}
Express 4050\times \frac{40}{27} as a single fraction.
x=\frac{162000}{27}
Multiply 4050 and 40 to get 162000.
x=6000
Divide 162000 by 27 to get 6000.