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To simplify the expression 1/8 * 8/9, you first multiply the numerators together (1 * 8 = 8) and the denominators together (8 * 9 = 72). This gives you 8/72. Next, you simplify the fraction by finding the greatest common factor of 8 and 72, which is 8. Dividing both the numerator and denominator by 8 gives you the simplified fraction of 1/9.
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