What are the rules for ordering and comparing fractions?

Answer 1

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Here are some rules for working with the same denominator or numerator...

Rule #1

When two fractions have the same denominator, the bigger fraction is the one with the bigger numerator.

2/6 < 5/6 The size of the fraction is the same (sixths), the numerator is what is different (2<5)

Rule # 2

When comparing fractions that have the same numerator, the bigger fraction is the one with the smaller denominator.

Therefore, 2/10 > 2/15.

In this case you are looking at the same portion (numerator). This means you look at the denominator and find out which is larger or smaller. Remember the bigger the number the smaller it is.

More Ordering and Comparing Advice.....

1. Think of 1/2 and 1. If there are a set of fractions you can look to see which are less than half, a half, or close to 1.

EX. 4/8, 1/3, 9/10

1/3 is less than half

4/8 is half

9/10 is almost 1

2. Use division. Compare 3/4 and 5/6. You can divide the numerator by the denominator. You will have numbers that are easier to compare

3/4= .75

5/6= .8333

3/4 < 5/6

3. Use a picture or number line or fraction strips. It's pretty basic but if all else fails. Just make sure that the item (shape, or number line) is the same size/length and try to divide it as evenly as possible.

4. Find a common denominator. By doing so you create an equivalent fraction (the same fraction with a different name).