## Recognizing Equivalent Fractions

#### Aligned To Common Core Standard:

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

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: 1/2 = 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 1/2 gives the fraction 2/4, then these fractions are equivalent. 1 x 2 / 2 x 2 = 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. Students will be able to use these worksheets to help them learn to identify fractions that are equal.

### Printable Worksheets And Lessons

- Matching Fractions Step-by-step
Lesson- Change models to fractions and then reduce the fractions.
They will come out to be equivalent fractions.

- Guided Lesson -
Fill in the missing part of the equivalent fractions.

- Guided Lesson Explanation
- I go through the detail of reducing the fractions to make them
equal.

- Practice Worksheet -
Find the missing part of the fraction or proportion, based on how
you look at it.

- Matching Worksheet
- Match the fraction to itself in lowest terms.

#### Practice Worksheets

Interpret the pie based fractions and make some of your own fractions.

- Practice 1- Name all the fractions and draw line between fractions that are equal.
- Practice 2- Fill the missing numbers to create equivalent fractions.
- Practice 3- Complete the fractions to make them equal.