Perform the operation and simplify the answer fully.
5/9 times 9/8
To perform the operation of multiplying the fractions, we multiply the numerators together and the denominators together:
5/9 times 9/8 = (5 * 9) / (9 * 8) = 45/72
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD:
GCD(45, 72) = 9
45/72 simplifies to (45/9) / (72/9) = 5/8
Therefore, the simplified answer is 5/8.