Order the decimals and fractions in ascending order.
1 1/9,1 1/6, 1 3/12, 0.01, 0.062
0.01 < 0.062 < 1 3/12 < 1 1/9 < 1 1/6
To order the decimals and fractions in ascending order, we must first convert the mixed numbers to improper fractions:
1 1/9 = (9/9) + (1/9) = 10/9
1 1/6 = (6/6) + (1/6) = 7/6
1 3/12 = (12/12) + (3/12) = 15/12 = 5/4
Now, we have the following list:
10/9, 7/6, 5/4, 0.01, 0.062
Next, we can convert the decimals to fractions:
0.01 = 1/100
0.062 = 62/1000 = 31/500
The updated list becomes:
10/9, 7/6, 5/4, 1/100, 31/500
Now, let's order the fractions and decimals in ascending order:
1/100, 31/500, 5/4, 7/6, 10/9,
Therefore, the final order in ascending order is:
0.01, 0.062, 1 3/12, 1 1/6, 1 1/9
To order decimals and fractions in ascending order, you need to compare them by converting them into a common format. Here's how you can do it step by step:
1. Convert mixed numbers to improper fractions:
- 1 1/9 can be written as (9/9) + (1/9) = 10/9
- 1 1/6 can be written as (6/6) + (1/6) = 7/6
- 1 3/12 can be simplified to 1/4
2. Order the decimals first:
- 0.01
- 0.062
3. Order the fractions:
- 1/4
- 7/6
- 10/9
4. Compare the decimals and fractions:
- 0.01 < 1/4
- 0.01 < 7/6
- 0.01 < 10/9
- 0.062 < 1/4
- 0.062 < 7/6
- 0.062 < 10/9
5. Write the decimals and fractions in ascending order:
- 0.01, 0.062, 1/4, 7/6, 10/9
So, the order from smallest to largest is: 0.01, 0.062, 1/4, 7/6, 10/9.