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The answer is a repeating 0.592. You would divide 8 by 15, then divide 9 by 10. Once you have those two factors, you divide (8/15) by (9/10) and get a repeating 0.592

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Q: What is the answer to eight over fifteen divided by nine over ten?
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What is five over eight divided by seven over nine?

5/8 divided by 7/9 = 45/56


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What is the answer to three divided by eight over fifteen?

To divide by a fraction, multiply by its reciprocal. In this instance, 3 / 8/15 = 3 x 15 / 8 = 45/8 = 5.625