You NEVER "reduce" a fraction into a "smaller fraction". That would change its value.
The whole idea that runs through everything you do in math is that you only change
the way something looks, but you never change the size of the real number that it
represents.
17/12 can't be reduced to any other fraction with lower terms. But if you want to,
you can write it as 15/12 instead. That doesn't change anything. The two forms are
still exactly the same number.
3/7
12/5 cannot be simplified further.
The fraction 12/35 cannot be reduced any more.
It is 6/61.
Divide by 3/3 9/12 = 3/4
Yes, you can reduce 38 over 24 since these terms have the common factors of 2. Simplify that fraction to: 2 * 19 / (2 * 12) = 19 / 12
Increase the denominator, the number on the bottom of the fraction. 1/11 is smaller for example, 1/12 is smaller again. Etc..
12/25
The GCF of 32 and 12 is 4. Take 4 out of both of them. Get 8/3
The way to figure this out is to convert the whole number into a fraction with the same denominator as the fraction being subtracted. Let's do this one. 1 - (5/12) = (12/12) - (5/12) = At this point, you have 12 over 12 minus 5 over 12, and to work a fraction like that where you have a common denominator, you can take the numerators and subtract them and put the result over 12. It will look like this: (12 - 5) / 12 = 7/12 That 7/12 is your answer. You don't even have to reduce it.
10 over 12 or 20 over 24. It can't get any smaller unless you use decimals.
12/162