Question

4/5-1/6

Answer 1

4/5 = 24/30
1/6 = 5/30

Subtract.

Answer 2

First you need a least common denominator, which is the smallest number that is a multiple of both 5 and 6. The LCM here is 30. Now let's do this one fraction at a time. In the first fraction, 4/5, we need the denominator to become 30. You can get 30 by multiplying 5 by 6, but then you must multiply the numerator by 6 as well. When you multiple both sides by six, 4/5 becomes 24/30. Do the same to the second fraction, 1/6, but multiply both sides by five. 1/6 becomes 5/30. Now it is easy to subtract. The denominator, which is now common in both fractions, will stay the same so you just subtract the numerators.

24 5 24-5 19
-- - -- > ---- = --
30 30 30 30