(1/6) /(1/12) = 12/6 = 2
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6/13 divided by 6/12 = 6/13 * 12/6 = 72/78 (reducible to 12/13) This is immediately confirmed because dividing by 6/12 or 1/2 is effectively multiplication by 2.
1/12 + 4/6 = 1/12 + 8/12 = 9/12 = 3/4.3 over 4 is 1 over 12 plus 4 over 6.
It's hard to tell what formula you mean from your description, but I think you mean 4 times 3 divided by 4 plus 10 times 5 over 12. Normally multiplication and division is performed before addition so this equals (4 * 3 / 4) + (10 * 5 / 12) 4 times 3 divided by 4 equals 12 divided by 4 equals 3 and on the other side of the plus 10 times 5 divided by 12 equals 50 divided by 12 50 doesn't go exactly into 12 but we can make it equal 25 over 6 to add the results we need to evaluate 3 plus (25 over 6) to do this, we have to use a lowest common denominator, in this case 6 3 plus (25 over 6) equals 3 * 6 over 6 plus (25 over 6) equals (18 over 6) plus (25 over 6) equals (18 + 25) over 6 43 over 6 43 over 6 is a vulgar fraction, so we extract as many whole numbers as possible 43 over 6 equals 42 over 6 plus 1 over 6 equals: 7 plus 1 over 6 7 1/6
2.1667
6/5