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4/(5/6) is the same as 4*(6/5). Which is 24/5. You would then do the same and add it to the next part. So 6/(5/4). Is the same as 6*(4/5) which is 24/5. Now add the two. Your answer is 48/5.

ALTERNATE:

OR, if you instead meant (4/5)/6 + (6/5)/4, then this would be the same as (1/6) * (4/5) + (1/4)*(6/5) = (4/30) + (6/20). From here, you can simplify to (2/15) + (3/10). The common multiple of 15 and 10 is 30, so we multiply (2/15) by (2/2) and multiply (3/10) by (3/3) which gives us:

4/30 + 9/30 = 13/30

Remember, division is NOT associative! 4/(5/6) does NOT equal (4/5)/6, so you need to describe your question accurately, or else you might get the wrong answer from us!

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14y ago

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