4/5-1/6
4/5 = 24/30
1/6 = 5/30
Subtract.
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
To solve the expression 4/5 - 1/6, you need to find a common denominator for the fractions.
The denominators, 5 and 6, have a common multiple of 30.
To convert the fractions to have a denominator of 30, you need to multiply both the numerator and denominator of each fraction by a factor that makes the denominator 30.
For the first fraction, 4/5, you would multiply both the numerator and denominator by 6 to get (4 * 6) / (5 * 6) = 24/30.
For the second fraction, 1/6, you would multiply both the numerator and denominator by 5 to get (1 * 5) / (6 * 5) = 5/30.
Now that both fractions have a common denominator of 30, you can subtract them.
24/30 - 5/30 = (24 - 5) / 30 = 19/30.
Therefore, the result of 4/5 - 1/6 is 19/30.