## Comparing Fractions and Equivalence

#### Aligned To Common Core Standard:

**Grade 3 Fractions** - 3.NF.3

Tips for Comparing Fractions - Comparing fractions is one of the few struggles of students in grades 1, 2, 3 and 4. However, there are a few essential tips and tricks that make this a lot easier what most students might think. When two fractions are in place, there a few tricks that can help you compare them with each other. This trick can help you identify which one is the bigger one. For example, let's compare 3/8 with 4/9. You multiply the numerator of the first fractions by the denominator of the second fraction. Now compare the answers of the two. 3 x 9 = 27 4 x 8 = 32 Since 32 is the larger number than 27, we know that 4/9 is a far greater number than 3/8. You need to make sure that your answer related to the numerator. So, in this example, 27 was related to 3/8, and 32 was related to 4/9. Hence, between the two fractions, 4/9 is greater. 74. How to Recognize Equivalent Fractions In mathematics, equivalent fractions are fractions with the same value, but they don't look similar. More accurately, they are defined as integers with different numerators and denominators that represent the same proportion. Equivalent fractions, when expressed on a number line, represent the same points or distance on it. They produce the same result when reduced to their simplest forms. To recognize equivalent fractions, you must know these two tricks. Consider this example: ½ = 2/4 = 4/8 These fractions are equivalent; however, they use different numbers. But how do you find that out? The first rule to recognizing an equivalent fraction is to multiply or divide both the numerator and denominator by the same number. If multiplying 1(numerator) and 2 (denominator) of ½ gives the fraction 2/4, then these fractions are equivalent. 1x2 / 2x2 = 2/4 Another trick is to cross multiply the fractions to find out if they are equivalent or not. Now here, cross-multiplying refers to multiplying one's numerator with the other's denominator. 2 x 8 = 4 x 4 = 16 The fractions are equivalent.

### Printable Worksheets And Lessons

- Models and Fractions
Step-by-step Lesson- We have you convert from models to fractions
and then we ask you to find equal fractions.

- Guided Lesson -
We use a fractional numbers line again. It works well for this skill.

- Comparing
Fractions 5 Pack - Comparing fractions over 5 pages of learning.

- Guided Lesson Explanation
- Didn't take any chances this time, I wrote out every little step
of these problems.

- Practice Worksheet
- This is a three pager. I tried to cover it from every direction
possible.

- Matching Worksheet
- Match the fraction models to the fractions.

#### Homework Sheets

Start by comparing models, compare fractions with numbers, and finish off with a nice coloring activity.

- Homework 1- Compare the fractions using >, <, or =.
- Homework 2- Mr. Higgins class made model rockets. They shot off the models and measured the distance that they travelled from their starting point.
- Homework 3- Draw a line to match the similar fractions.

#### Practice Worksheets

Put some symbols in their place and then tackle a rocket of a fractional word problem.

- Practice 1- Write the fraction that each model represents. Circle the two fractions in each problem that are the same value.
- Practice 2- Compare the fraction using <, >, or =.
- Practice 3- Color all the fractions that are equal to the key below. If a fraction is not equal to a value in the key, do not color it.