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Math for Kids23 chapters | 325 lessons

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Instructor:
*Rodney Davis*

Rodney has 9 years of elementary teaching experience and a Master of Arts degree in Early Childhood Education.

In this lesson, we will discuss how fractions are equivalent. You will also learn how fractions can have the same value even though they may look totally different.

Let's say that it's Friday night and your mom calls you to the table for dinner. To your delight, you're having pizza tonight! As you look around the table, you notice how the pizza, which comes in 8 slices total, has been divided among your family. There are 2 slices on your plate, and only 1 slice on your little brother's plate. Your mother has 2 slices, while your father has 3 slices.

Each of you have a **fraction** of the whole pizza. A fraction is a part of a whole. So, if you have 2 slices out of an 8-slice pizza, you would present it in the fraction form as 2/8.

So what are equivalent fractions? It might not be obvious at first, but 2/8 and 1/4 are **equivalent fractions**, which means that they represent the same amount of the whole--they are equal in value. That means that if your family's pizza were cut into only 4 pieces and you receive 1 piece, it would be the same amount of pizza as if you had received 2 of 8 pieces.

There's a very simple trick to finding an equivalent for any fraction. The key is to multiply the numerator (the number on the top or left of the line of a fraction) and denominator (the number on the bottom or right of the line) of the fraction by the same whole number. The outcome will be an equivalent fraction. Let's look at an equivalent fraction for 1/4 found by multiplying it by 6:

You can also find equivalent fractions by dividing the numerator and denominator of a fraction by the same number. For example, if we divide both sides of 6/10 by 2, we get 3/5. And so, 6/10 and 3/5 are equivalent fractions.

Now you know how to find an equivalent fraction, but what do you do when you already have two fractions and need to figure out if they are equivalent. This process is a bit more complicated, and it requires cross multiplication, which is when you multiply the numerator of the first fraction by the denominator of the second fraction, and then you multiply the denominator of the first fraction by the numerator of the second fraction. The rule we follow looks like this:

The fractions are equivalent if the answers of multiplication, or products, are the same. Let's look at an example:

As you can see, after cross multiplying 1/2 and 2/4, we found that both products are the same. And so, these are equivalent fractions.

Remember, in order to find an equivalent fraction, you can multiply or divide both the numerator and denominator in a fraction by the same number. If you already have two fractions and want to know if they are equivalent, then you cross multiply to see if the answers, or products, are the same.

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Math for Kids23 chapters | 325 lessons

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- Comparing Fractions: Lesson for Kids
- Equivalent Fractions: Lesson for Kids
- Fractions Games for Kids
- Fractions to Decimals: Lesson for Kids
- Fractions: Lesson for Kids
- Numerator & Denominator Lesson for Kids
- Decimals: Lesson for Kids
- Multiplying Fractions by Whole Numbers: Lesson for Kids 3:04
- How to Simplify Fractions: Lesson for Kids
- Improper Fractions: Lesson for Kids
- What is a Benchmark Fraction on a Number Line? 3:48
- How to Add Mixed Fractions with Different Denominators
- Multiplying Compound Fractions
- Simplifying Compound Fractions
- Dividing Compound Fractions
- Adding Compound Fractions
- Subtracting Compound Fractions
- How to Subtract Fractions with Variables
- Multiplying Fractions with Like Denominators
- Subtracting Fractions with Like Denominators
- Reducing Fractions: Rules & Practice
- Definition of Simplest Form: Lesson for Kids
- How to Add Fractions with Unlike Denominators
- How to Subtract Fractions with Unlike Denominators
- Rules for Subtracting Fractions
- Rules for Multiplying Fractions
- Rules for Dividing Fractions
- Ordering Fractions on a Number Line
- Locating Fractions on a Number Line
- How to Add & Subtract Two Fractions with Like Denominators
- How to Find Equivalent Fractions on a Number Line
- How to Subtract Mixed Fractions with Unlike Denominators
- Go to Fractions for Elementary School

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