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\frac{4\times 10}{5\times 9}
Multiply \frac{4}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{40}{45}
Do the multiplications in the fraction \frac{4\times 10}{5\times 9}.
\frac{8}{9}
Reduce the fraction \frac{40}{45} to lowest terms by extracting and canceling out 5.