put in order this fractions 9/9, 2/3, 5/6, 4/12, 0/2 from the smallest to the largest? I don't know how?
Let's start with 0/2 because it's zero.
Then change the other fractions to their equivalents with a common denominator of 36. Then it will be easy.
The other way is to change those fractions to decimals by dividing the numerator by the denominator.
9/9 = 1 = 12/12
2/3 = 8/12
5/6 = 10/12
4/12 = 4/12
0/2 = 0 , obviously the smallest
now can you tell ?
0/2, 4/12, 2/3, 5/6, 9/9
To put these fractions in order from smallest to largest, you need to compare their values. Here's how you can do it step by step:
1. Simplify the fractions, if possible:
- 9/9 is already in its simplest form.
- 2/3 is already in its simplest form.
- 5/6 is already in its simplest form.
- 4/12 can be simplified by dividing both the numerator and denominator by the greatest common divisor, which is 4. This gives us 1/3.
- 0/2 is already in its simplest form, but it is equal to 0.
2. Now, we have simplified fractions: 9/9, 2/3, 5/6, 1/3, and 0.
3. Convert the fractions to decimals for easier comparison:
- 9/9 = 1
- 2/3 ≈ 0.6667 (rounded to four decimal places)
- 5/6 ≈ 0.8333 (rounded to four decimal places)
- 1/3 ≈ 0.3333 (rounded to four decimal places)
- 0
4. Now, arrange the decimals from smallest to largest:
- 0
- 0.3333
- 0.6667
- 0.8333
- 1
5. Convert the decimals back to fractions:
- 0 = 0/1
- 0.3333 ≈ 1/3
- 0.6667 ≈ 2/3
- 0.8333 ≈ 5/6
- 1 = 9/9
So, arranging the fractions in order from smallest to largest would be:
0/1, 1/3, 2/3, 5/6, 9/9