Methods to Determine Equivalent Fractions
- Method 1: By making the denominators the same, we can evaluate if two fractions are equivalent. For example, find if 2/3 and 6/9 are equivalent.
- Method 2: Since, both the values are equal, therefore, 1/2 and 3/6 are equivalent fractions.
- Method 3: If two fractions are given, we can simply find their decimals to check if they are equivalent fractions.
How can you tell whether a fraction is equivalent?
Equivalent fractions represent the same proportion of the whole. For each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. For example, we have to find the third equivalent fraction of ⅔; then we have to multiply 2/3 by 3/3. Hence, 2/3 x (3/3) = 6/9, is the fraction equivalent …
What is strategy for finding 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 the rules of equivalent fractions?
Equivalent Fractions Rule. A rule stating that if the numerator and denominator of a fraction are multiplied by the same nonzero number, the result is a fraction that is equivalent to the original fraction. This rule can be represented as: a//b = (n * a)//(n * b).
Which number is equivalent to the fraction?
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.
What is equivalent fractions with 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. A fraction is a part of a whole.
How do you find equivalent fractions 4th grade?
5:139:134th Grade: Equivalent Fractions – YouTubeYouTubeStart of suggested clipEnd of suggested clip3. So 7 21 is equal to 1/3 so there are two ways to find equivalent fractions you can eitherMore3. So 7 21 is equal to 1/3 so there are two ways to find equivalent fractions you can either multiply both the numerator and the denominator. By the same number or you can divide the numerator.
How do you teach a child equivalent fractions?
0:395:15Equivalent Fractions | Math for 3rd Grade | Kids Academy – YouTubeYouTubeStart of suggested clipEnd of suggested clipIn so for example an equivalent fraction to 1 4 could be 2 8. to show this in a picture instead ofMoreIn so for example an equivalent fraction to 1 4 could be 2 8. to show this in a picture instead of cutting our fraction into four pieces we’ll cut our fraction into eight pieces.
How do you solve equivalent fractions 5th grade?
14:0715:58Equivalent Fractions – 5th Grade Math – YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd let’s just try 4 giggles we’ll try 2/3. And we’ll try to multiply by 3 we’ll multiply by 3 onMoreAnd let’s just try 4 giggles we’ll try 2/3. And we’ll try to multiply by 3 we’ll multiply by 3 on the bottom 3 on the top we have to do it in both places 2 times 3 is 6. 3 times 3 is 9.
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.
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 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:
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 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.
What is the LCM of 2/6 and 3/9?
The denominators of the fractions, 2/6 and 3/9 are 6 and 9. The LCM of the denominators 6 and 9 is 18. Let us make the denominators of both fractions 18, by multiplying them with suitable numbers.
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.
What does “fraction” mean in English?
However, the English word “fraction” is based on the Latin (the language of the ancient Romans) word “fractus”, which literally means “broken”. This is surely related to other English words such as fracture, fractured etc. Language evolves in a very gradual way, over decades and centuries.
Is 1/5 a fraction?
Yes. Equivalent fractions are interchangeable in every way, so they are a useful way of simplifying equations. The fraction 1/5 is equivalent to the fraction 12589/62945, but it’s much easier to use! Comment on Ben Willetts’s post “Yes. Equivalent fractions are interchangeable in …”.
How to make a fraction equivalent?
Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won’t change the value of the fraction , and you’ll create an equivalent fraction.
What are Equivalent Fractions?
Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.
What is half of a fraction?
For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100
