## Comparing Mixed (Like and Unlike) Fractions

#### Aligned To Common Core Standard:

**Grade 4 Fractions** - 4.NF.2

How to Compare Mixed (Like and Unlike) Fractions
Every student must be able to compare fractions both like and unlike. Comparison is used for determining which number is bigger and which one is smaller or what if they are equal.
There are different situations in which fractions can be seen.
**Situation 1:** Same Numerator but the different denominator - The children must understand that thirds are larger than sixths. The rule here is that the fraction with the smaller denominator is the bigger one.
**Situation 2:** Different numerator but the same denominator - In this case, we can clearly see that there are different numbers of the same things. The same object is divided into 7/8th, and the other number is 3/8th. In this case, the number with the larger numerator is the bigger one.
**Situation 3:** The different numerator and different denominator - In this case, the numerators and the denominators both are different. You can solve this by multiplying the top and bottom of the number with the same number as it will give the equivalent value. Once the multiplication is done, compare the two.
3/4 x 3/3 = 9/12
5/6 x 2/2 = 10/12
It can be seen clearly that the one with the bigger numerator is the bigger fraction as the denominator has now been made equal.
These worksheets help students learn how to find a common denominator and compare unlike fractions or simply compare like fractions.

### Like Fraction Comparisons

- Compare Like Fractions
w/ Like Denominators Step-by-Step Lesson- Break out your >,
<, or = symbols.

- Guided Lesson
- Start with a filled shape comparison, order fractions, and decide
on a sign to make a math sentence true.

- Guided Lesson Explanation
- I was a little tired when writing this one, so you might need
to put a little more effort in on this one.

- Practice Worksheet
- Determine if the fractions are greater than, less than, or equal
to each other.

- Matching Worksheet - Match the filled segmented pies with their fractions.

### Unlike Fraction Comparisons

- Step-by-Step
Lesson- We add a visual in here to help the students see what
we are talking about.

- Guided Lesson
- A straight unlike denominator comparison, a visual comparison,
and ordering unlike fractions.

- Guided Lesson
Explanation - I really took my time on these explanations.

- Independent Practice
Worksheet 1 - I think you will really like what I put together
here.

- Independent Practice Worksheet 2 - Yes, there are some equal comparisons here and I had them compare one part of everything.

#### Homework Sheets

We start off the easy way. Just use straight symbols. We then add some model-based comparisons. We end off by ordering fraction values.

- Homework 1 - The denominators in all fractions are same, so they do not need to be reworked. Now we have to compare numerators of both fractions.
- Homework 2 - Which sign makes the sentence true and put ˂ ____ ˃ ____ =
- Homework 3 - Complete the problems with a "___" by writing the ˃, ˂, or = signs. Rearrange the completed problems to make them true.

#### Practice Worksheets

I always like to remind students to check if they are equal first. If not, point the arrow to the smaller fraction.

- Practice 1- Which symbol makes the most sense.
- Practice 2- Which sign makes the sentence true (>, <, or =)?
- Practice 3- Which set of fractions is ordered from least to greatest? Reorder sets that are incorrect.