order these fractions 1/3 1/8 1/6
Convert them to decimals, and then it'll be easy to see:
1/3 = .3333333333333333333333333
1/8 = .______
1/6 = .______
To order these fractions (1/3, 1/8, 1/6) from least to greatest, you need to compare their sizes. Here's how you can do it step by step:
1. Find a common denominator: In this case, the common denominator for 3, 8, and 6 is 24. To convert the fractions into equivalent fractions with a common denominator, you can multiply the denominator and numerator of each fraction by the necessary factor:
- 1/3 becomes 8/24 (multiplied by 8/8)
- 1/8 remains 1/8 (already in terms of 24)
- 1/6 becomes 4/24 (multiplied by 4/4)
Now that all the fractions have the same denominator, you can compare their numerators directly.
2. Compare the numerators: Arrange the fractions based on the numerators:
- 1/8 (smallest numerator)
- 4/24
- 8/24 (largest numerator)
3. Write the fractions in order: The fractions, in order from least to greatest, are:
- 1/8
- 4/24
- 8/24
If you want to simplify the fractions further, you can divide both the numerator and denominator by their common factors. In this case, 8/24 can be simplified to 1/3, which gives us the final ordered list:
1/8, 1/6, 1/3