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x=\frac{4}{9}\times \frac{1}{10}
Multiply both sides by \frac{1}{10}.
x=\frac{4\times 1}{9\times 10}
Multiply \frac{4}{9} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.
x=\frac{4}{90}
Do the multiplications in the fraction \frac{4\times 1}{9\times 10}.
x=\frac{2}{45}
Reduce the fraction \frac{4}{90} to lowest terms by extracting and canceling out 2.