Definition of Equivalent Fractions The fractions that represent the same value but look different (i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same fraction after we simplify them.
How do you calculate equivalent fractions?
What are equivalent fractions?
- Sometimes fractions can be simplified into smaller ones.
- These fractions are said to be equivalent.
- You can multiply the numerator and denominator in the smaller fraction, by the same number, and get the first fraction back.
How do you determine whether fractions are equivalent?
- Equivalent fractions may look different, but they have the same value.
- You can multiply or divide to find an equivalent fraction.
- Adding or subtracting does not work for finding an equivalent fraction.
- If you multiply or divide by the top of the fraction, you must do the same to the bottom.
How do you write equivalent fractions?
Summary:
- You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
- You only multiply or divide, never add or subtract, to get an equivalent fraction.
- Only divide when the top and bottom stay as whole numbers.
What are some equivalent fractions?
Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: 1 2 = 2 4 = 4 8. … Also see the Chart of Fractions with many examples of equivalent fractions. Dividing. Here are some more equivalent fractions, this time by dividing: ÷ 3 : ÷ 6 : 18 = 6 = 1: 36: 12: 2
What is equivalent fraction for example?
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.
What are equivalent fractions kids definition?
When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let’s take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.
What is a equivalent fraction called?
The fractions that represent the same value but look different(i.e different numerators or denominators) are called equivalent fractions. In other words, two or more fractions are said to be equivalent fractions if they are equal to the same fraction after we simplify them.
What is the definition of equivalent in math?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples.
How do you introduce equivalent fractions?
The concept of equivalent fractions seems simple – just multiply the numerator and denominator by the same factor to get another fraction that is equivalent to the origin.
What is an equivalent fraction for 3rd grade?
Equivalent fractions are fractions that do not have the same numerator and denominator, but are the same value. Think about a pie (delicious treats always make fractions better). Would you want to take home half the pie, or 3 out of a total of 6 slices of pie? It wouldn’t matter – it’s the same thing!
Why do we need equivalent fractions?
Equivalent fractions are the same size, even though they have a different number of pieces. This gives students the opportunity to build concrete evidence of fraction equivalency before we move on to more abstract problems.
How do you do equivalent fractions in 6th grade?
0:554:066th Grade Math Tutorials: Equivalent Fractions – YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we multiply the bottom by four we multiply the top by four as well. So on the top okay ourMoreSo we multiply the bottom by four we multiply the top by four as well. So on the top okay our numerator two times four becomes eight the next one 3 8 equals.
How do you teach equivalent fractions for kids?
0:003:46Equivalent Fractions | Maths | EasyTeaching – YouTubeYouTubeStart of suggested clipEnd of suggested clipTake this example Sam and Lily cooked two pizzas Sam cut hers in four equal pieces quarters Lily cutMoreTake this example Sam and Lily cooked two pizzas Sam cut hers in four equal pieces quarters Lily cut hers in eight equal pieces eighths Sam eats two of her quarters. And Lily eats four of her eggs.
How do you explain equivalent fractions to third graders?
2:515:15Equivalent Fractions | Math for 3rd Grade | Kids Academy – YouTubeYouTubeStart of suggested clipEnd of suggested clipThere is one two three four five six pieces shaded in which means six is the correct numerator twoMoreThere is one two three four five six pieces shaded in which means six is the correct numerator two thirds is equivalent to six ninths.
How do you describe equivalent fractions Grade 4?
1:066:31Equivalent Fractions | Mathematics Grade 4 | Periwinkle – YouTubeYouTubeStart of suggested clipEnd of suggested clipThat show the same part of the whole are called equivalent fractions that is half is equal to 2 4 isMoreThat show the same part of the whole are called equivalent fractions that is half is equal to 2 4 is equal to 3 6 is equal to 4 8 is equal to 5 10..
What is an equivalent fraction BBC Bitesize?
You can simplify a fraction by dividing the numerator and denominator by the same number. You won’t be able to simplify a fraction if the same number won’t divide into both the numerator and denominator. The simplified fraction and the original fraction are said to be equivalent.
What are Equivalent Fractions?
Equivalent fractions state that two or more than two fractions are said to be equal if both results are the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fractions, say e/f, then they are equal to each other.
Why are fractions the same?
These fractions are actually the same because when we multiply or divide both the numerator and the denominator by the same number, the value of the fraction actually doesn’t change. Therefore, equivalent fractions, when reduced to their simplified value, will all be the same. For example, consider the fraction 1/5.
What happens when two fractions are given?
If two fractions are given, we can simply find their decimals to check if they are equivalent fractions.
How to make the denominator equal to 9?
Multiply 2/3 by 3/3 to make the denominator equal to 9.
Is a fraction equivalent to a decimal?
Since, both the fractions results in the same decimal, thus they are equivalent.
Do denominators have a common multiple?
The answer to this question is that, as the numerator and denominator are not co-prime numbers, therefore they have a common multiple, which on division gives exactly the same value.
Is 10/12 a fraction?
But, ⅚ and 10/12 are equivalent fractions because of 10/12 = ⅚.
What are Equivalent Fractions?
Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.
How to Determine if Two Fractions are Equivalent?
We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are:
How to write 6/8 as an equivalent fraction?
In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 × 2)/ (8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 ÷ 2)/ (8 ÷ 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.
How to multiply the numerator and the denominator?
Multiply the numerator and the denominator by the same number.
Is a decimal the same as a fraction?
The decimal values of both the fractions are the same and hence, they are equivalent.
Do equivalent fractions get reduced to the same fraction?
All equivalent fractions get reduced to the same fraction in their simplest form as seen in the above example. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.
How to make equivalent fractions?
Remember that we can form equivalent fractions by multiplying the numerator and denominator by the same number. If we multiply the denominator in 1/2 by 2, we’ll have a new denominator of 4, and the fractions will have the same denominator.
Why are equivalent fractions important?
Equivalent fractions are an important tool when adding or subtracting fractions with different denominators. Let’s look at an example: Johnny bought one half of a cake. He didn’t know that while he was out, his wife, Lyndon, bought one fourth of a cake.
What is the numerator of a fraction?
The numerator is the part of a fraction above the dividing bar. The denominator is the part of a fraction below the dividing bar. Equivalent fractions have different numerators and denominators, but the same value.
What happens when you cross multiply two fractions?
If we cross multiply two fractions, or multiply the numerator of each fraction by the other’s denominator , and the resulting products are equal , then the fractions are equivalent. As indicated by the colors, we’ll multiply the numerator of each fraction by the denominator of the other fraction.
What are the parts of a fraction called?
When we write a fraction, there’s always a number above the dividing bar and a number below the dividing bar. The upper number in a fraction is called the numerator. The lower number is called the denominator.
Which part of a fraction goes where?
An easy trick to remember which part goes where is that denominator and down both start with the letter ‘d,’ so the denominator is always the number that’s down in a fraction.
Do we need to review fractions before we define equivalent fractions?
It will benefit us to review some fraction terminology before we define equivalent fractions.
Why are fractions the same?
Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it’s value.
Can you multiply to get an equivalent fraction?
You only multiply or divide, never add or subtract, to get an equivalent fraction.
How to teach equivalent fractions?
They may not yet have tried addition or subtraction with fractions but you can introduce equivalency by comparing fractions. Use hands-on activities. For example, take a pizza, cut it in half then cut one half into three equal slices.
What does it mean when the top and bottom of a fraction are increasing?
Notice how the top and bottom (numerator and denominator) of the fraction is increasing by a factor of 2. In other words, they are both being multiplied by 2. Multiplying or dividing both the numerator and denominator of a fraction will result in an equivalent fraction. Here are some more examples:
When to use multiplication or division?
Remember: Only use multiplication or division when finding equivalent fractions. Do not use addition or subtraction.
What happens when you multiply the numerator and denominator?
Multiplying or dividing both the numerator and denominator of a fraction will result in an equivalent fraction. Here are some more examples:
