To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
1/4 ÷ 8/9 = 1/4 * 9/8
Now, we can multiply the numerators and denominators together:
1 * 9 = 9
4 * 8 = 32
So, 1/4 ÷ 8/9 simplifies to 9/32.
Perform the operation and simplify the answer fully. 1/4 divided by 8/9
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