I'm a 5th grader and I'm having a hard time writing the above fractions in order. They are 3/10, 1, 1/4, 5/8, 2/3, 1/8, 5/6, 3/4, 0, 1/6, 7/8, 1/3? Am I suppose to find the least common denominator first?

Finding the least common denominator and converting these fractions to equivalent fractions is one way to know how to put them in order.

Another way is to use a calculator. Divide the numerator by the denominator, and convert them to decimals.

Yes, finding the least common denominator (LCD) can be helpful when you need to order fractions. However, in this particular case, you can start by comparing the whole numbers and then the fractions separately. Here's a step-by-step guide to ordering the given fractions:

1. Start by looking at the whole numbers:
The given list includes the whole number "1", so it will be the first number in the order.

2. Next, focus on the fractions:
- Look for fractions with a denominator of 1. In this case, we have "1/4" and "3/4".
- Since "1/4" is smaller than "3/4", "1/4" will come before "3/4" in the order.

3. Now, compare the remaining fractions:
- Find the least common denominator (LCD) of the fractions that have different denominators.
- In this case, the fractions "3/10", "5/8", "2/3", "1/8", "5/6", "1/6", "7/8", and "1/3" have different denominators.
- Finding the LCD of these fractions, specifically 10, 8, and 3, would give us 120.

4. Convert the fractions to have the same denominator:
- Take each fraction and rewrite it with the LCD of 120.
- For example, "3/10" can be converted to "36/120", and "5/8" can be written as "75/120".

5. Now that all the fractions have the same denominator, you can compare their numerators:
- Compare the numerators of these converted fractions to determine their order.
- In this case, "36/120", "75/120", "80/120", "15/120", "100/120", "20/120", "105/120" (which is equivalent to "7/8"), and "40/120" (which is equivalent to "1/3").
- Rearrange them in ascending order based on their numerators: "15/120", "20/120", "36/120", "40/120", "75/120", "80/120", "100/120", and "105/120".

6. Combine the ordering:
- Now, you have the following in order: 1, 1/4, 1/8, 15/120, 20/120, 36/120, 40/120, 75/120, 80/120, 100/120, 105/120.

7. Simplify the fractions (if necessary):
- If you need to simplify the fractions further, you can divide both the numerator and denominator by their greatest common divisor (GCD). For example, "15/120" can be simplified by dividing both the numerator and denominator by 15 to get "1/8".

So, using this method, the fractions in order would be: 1, 1/4, 1/8, 1/8, 1/6, 3/10, 3/4, 5/8, 5/6, 7/8, 1/3, and 0.