From these fractions choose <,>,or= to make a true statement

1. 11/21<2/3

2.1/2=9/18

3. 2 3/8>2 8/24

Order the fractions from least to greatest
3/5 1/4 1/2 2/5
Answer: 1/3 2/5 1/2 3/5

6 3/4, 6 1/2, 6 5/6, 6 3/8
Answer: 3/8 1/2 3/4 5/6

All are right.

Thank you

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To determine whether a fraction is less than, greater than, or equal to another fraction, you can compare the numerators and denominators of the fractions. Here's how you can find the relationships for the given fractions:

1. 11/21 < 2/3:
- In this case, compare the fractions by cross-multiplying:
11 * 3 = 33
21 * 2 = 42
- Since 33 is less than 42, the statement is true. Therefore, the correct symbol in this case is <.

2. 1/2 = 9/18:
- To compare these fractions, you can check if they represent the same value.
- Simplify both fractions if needed:
1/2 = 1/2
9/18 = 1/2
- Since both fractions have the same value, the statement is true. Therefore, the correct symbol in this case is =.

3. 2 3/8 > 2 8/24:
- Convert the mixed numbers to improper fractions:
2 3/8 = (2 * 8 + 3)/8 = 19/8
2 8/24 = (2 * 24 + 8)/24 = 56/24
- Compare the fractions by cross-multiplying:
19 * 24 = 456
8 * 56 = 448
- Since 456 is greater than 448, the statement is true. Therefore, the correct symbol in this case is >.

To order the fractions from least to greatest:

1. 3/5, 1/4, 1/2, 2/5:
- Compare the fractions based on their values.
- The fraction with the smallest value is 1/4, followed by 2/5, then 1/2, and the largest value is 3/5.
- Therefore, the order from least to greatest is 1/4, 2/5, 1/2, 3/5.

2. 6 3/4, 6 1/2, 6 5/6, 6 3/8:
- Convert the mixed numbers to improper fractions:
6 3/4 = (6 * 4 + 3)/4 = 27/4
6 1/2 = (6 * 2 + 1)/2 = 13/2
6 5/6 = (6 * 6 + 5)/6 = 41/6
6 3/8 = (6 * 8 + 3)/8 = 51/8
- Compare the fractions based on their values:
13/2 = 6.5
27/4 = 6.75
41/6 ≈ 6.83333
51/8 = 6.375
- The order from least to greatest is 51/8, 13/2, 27/4, 41/6.