Descending Order of Fractions

Explanation:
- To determine the descending order of fractions, we need to compare the fractions and arrange them from largest to smallest.

Options:
A) 2/3, 3/5, 1/2
- To compare these fractions, we need to find a common denominator. The least common multiple of 2, 3, and 5 is 30.
- Converting the fractions to have a denominator of 30:
- 2/3 = 20/30
- 3/5 = 18/30
- 1/2 = 15/30
- Arranging them in descending order: 20/30, 18/30, 15/30
- Therefore, the descending order is 2/3, 3/5, 1/2.
B) 1/2, 4/6, 6/8
- Converting the fractions to have a common denominator:
- 1/2 = 15/30
- 4/6 = 20/30
- 6/8 = 23/30
- Arranging them in descending order: 23/30, 20/30, 15/30
- Therefore, the descending order is 6/8, 4/6, 1/2.
C) 1/5, 1/3, 1/2
- Converting the fractions to have a common denominator:
- 1/5 = 6/30
- 1/3 = 10/30
- 1/2 = 15/30
- Arranging them in descending order: 15/30, 10/30, 6/30
- Therefore, the descending order is 1/2, 1/3, 1/5.
D) 1/5, 1/3, 1/2
- This option is the same as option C, where the fractions are already in descending order: 1/2, 1/3, 1/5.
Therefore, the fractions in descending order are:
A) 2/3, 3/5, 1/2
B) 6/8, 4/6, 1/2
C) 1/2, 1/3, 1/5
D) 1/2, 1/3, 1/5.