How do list greatest to least fractions [~1 1/2,1 1/2 ~1 3/4,1 1/4]
1 3/4, 1 1/2, 1 1/4
Write to least to greatest.
45/6, 7 1/3 , 7, 4
To list fractions from greatest to least, you need to compare their values and order them accordingly. Let's go step by step to determine the order of the fractions you provided [~1 1/2,1 1/2 ~1 3/4,1 1/4]:
1. Convert the mixed fractions to improper fractions:
- ~1 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
- 1 1/2 ~ 1 3/4 = 1 + 1/2 ~ 1 + 3/4 = 2/2 + 1/2 ~ 2/2 + 3/4 = 3/2 ~ 11/4
- 1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4
2. Determine the least common denominator (LCD):
The LCD is the lowest common multiple of the denominators, which in this case is 4.
3. Convert all fractions to have the same denominator:
- 3/2 becomes 6/4
- 3/2 ~ 11/4 remains the same
- 5/4 remains the same
4. Now, compare the numerators when the denominators are the same:
- 6/4 is greater than 5/4 because 6 > 5.
- 6/4 is also greater than 11/4 because 6 > 11.
5. Therefore, the order from greatest to least is:
1 1/2 ~ 1 3/4, ~1 1/2, 1 1/4
So, the correct order is: 1 1/2 ~ 1 3/4, ~1 1/2, 1 1/4