What Is Equivalent To 9/6
Equivalent Fractions
Equivalent fractions can be defined equally fractions that may have unlike numerators and denominators only they represent the same value. For instance, 9/12 and 6/8 are equivalent fractions considering both are equal to three/4 when simplified.
All equivalent fractions get reduced to the same fraction in their simplest form every bit seen in the instance given in a higher place. Explore the given lesson to get a ameliorate thought of how to find equivalent fractions and how to check if the given fractions are equivalent.
| ane. | What are Equivalent Fractions? |
| 2. | How to Observe Equivalent Fractions? |
| 3. | How do you know if 2 Fractions are Equivalent? |
| 4. | Equivalent Fractions Chart |
| v. | FAQs on Equivalent Fractions |
What are Equivalent Fractions?
Ii or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For instance, the equivalent fractions of 1/5 are 5/25, half dozen/30, and four/20, which on simplification, outcome in the same fraction, that is, ane/five.
Equivalent Fractions Definition
Equivalent fractions are defined as those fractions which are equal to the same value irrespective of their numerators and denominators. For example, both half dozen/12 and 4/8 are equal to ane/2, when simplified, which ways they are equivalent in nature.
Equivalent Fractions Examples
Hither are some examples of equivalent fractions.
Instance: 1/ii, 2/iv, 3/half-dozen, and 4/8 are equivalent fractions. Let united states of america see how their values are equal. We volition stand for each of these fractions as circles with shaded parts. Information technology can be seen that the shaded parts in all the figures represent the same portion if seen as a whole.
Here, nosotros can run across that the corporeality of shaded portion is the same in all the circles. Hence, 1/two, ii/four, 3/six, and iv/viii are equivalent fractions.
How to Find Equivalent Fractions?
Equivalent fractions can exist written by multiplying or dividing both the numerator and the denominator by the aforementioned number. This is the reason why these fractions get reduced to the same number when they are simplified. Let united states of america understand the ii means in which we can make equivalent fractions:
- Multiply the numerator and the denominator by the aforementioned number.
- Divide the numerator and the denominator past the same number.
Multiply the Numerator and Denominator by the Aforementioned Number
To detect the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator four by the same number, say, 2. Thus, 6/viii is an equivalent fraction of 3/4. We can observe some other equivalent fractions past multiplying the numerator and the denominator of the given fraction past the same number.
- 3/iv= \(\dfrac{three \times 3}{4 \times 3}\) =9/12
- 3/4=\(\dfrac{3 \times four}{four \times 4}\) =12/16
- 3/4=\(\dfrac{3 \times five}{4 \times five}\) =fifteen/xx
Thus, the equivalent fractions of 3/4 are half-dozen/8, ix/12, 12/sixteen, and fifteen/20.
Divide the Numerator and Denominator by the Same Number
To find the equivalent fractions for whatever given fraction, split the numerator and the denominator past the same number. For example, to notice an equivalent fraction of 72/108, we volition first find their common factors. We know that two is a common cistron of both 72 and 108. Hence, an equivalent fraction of 72/108 can be found past dividing its numerator and denominator past two. Thus, 36/54 is an equivalent fraction of 72/108. Allow united states see how the fraction is farther simplified:
- 2 is a common factor of 36 and 54. Thus, 36/54= \(\dfrac{36 \div 2}{54 \div ii}\)= 18/27
- Again, 3 is a common factor of 18 and 27. Thus, 18/27= \(\dfrac{eighteen \div 3}{27 \div three}\)= 6/9
- Once again, 3 is a common factor of 6 and 9. Thus, half dozen/9=\(\dfrac{6 \div 3}{ix \div 3}\)= 2/iii
Therefore, a few equivalent fractions of 72/108 are 36/54, xviii/27, 6/9, and 2/three. Hither, two/three is the simplified form of 72/108 as there is no common factor (other than 1) of ii and 3.
How practice you lot know if 2 Fractions are Equivalent?
Nosotros demand to simplify the given fractions to notice whether they are equivalent or not. Simplification to get equivalent numbers can be washed 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 equally follows:
- Making the denominators the aforementioned.
- Finding the decimal form of both the fractions.
- Cross multiplication method.
- Visual method.
Let u.s.a. identify whether 2/6 and iii/9 are equivalent fractions by each of these methods.
Making the Denominators the Same
The denominators of the fractions, 2/6 and 3/9 are 6 and 9. The Least Common Multiple (LCM) of the denominators 6 and 9 is eighteen. Let united states of america make the denominators of both fractions 18, past multiplying them with suitable numbers.
- 2/6=\(\dfrac{2 \times three}{half dozen \times iii}\)= 6/eighteen
- 3/9=\(\dfrac{three \times ii}{ix \times two}\)= half dozen/18
Nosotros can observe that both the fractions are equivalent to the same fraction 6/18. Thus, the given fractions are equivalent.
Annotation: If the fractions are Not equivalent, we can check the greater or smaller fraction past looking at the numerator of both the resultant fractions. Hence, this method can also be used for comparing fractions.
Finding the Decimal grade of Both the Fractions
Let us notice the decimal course of both the fractions 2/6 and 3/ix to encounter if they give the same value.
- ii/half-dozen= 0.3333333...
- 3/9= 0.3333333...
The decimal values of both the fractions are the same and hence, they are equivalent.
Cantankerous Multiplication Method
To identify whether 2/six and 3/9 are equivalent, we cantankerous multiply them. If both the products are the same, the fractions are equivalent.
Since both the products here are xviii, the given fractions are said to exist equivalent fractions.
Visual Method
Allow us represent each of the fractions 2/half dozen and 3/9 pictorially on identical shapes and check if the shaded portions of both are equal.
We can see that the shaded portions of both the circles describe the same value. In other words, it can be seen that the shaded parts in both the figures represent the aforementioned portion if seen as a whole. Hence, the given fractions are equivalent.
Equivalent Fractions Chart
Charts and tables are often used to represent concepts in a better way since they serve as a handy reference for calculations and are easier to understand. Anchor charts and tables, similar the one given below, make information technology easier for the students to understand equivalent fractions. Let united states of america use the following chart to find the equivalent fractions of 1/four.
From this nautical chart, we tin can notice that the equivalent fractions of 1/4 are: two/8, 3/12, iv/xvi,...
Tips on Equivalent Fractions
- 2 fractions are said to be equivalent if their values (decimal value/graphical value) are the same.
- We ordinarily multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.
- The 'Cross multiplication method' is used to determine whether whatsoever ii fractions are equivalent or not.
- 'Making the denominators the same' is another method used to determine if 2 or more fractions are equivalent.
☛ Related Articles
- Reduce Fractions
- Multiplying Fractions
- Addition of Fractions
- Sectionalization of Fractions
- Simplifying Fractions
- Proper Fractions
Equivalent Fractions Examples
get to slidego to slidego to slide
Want to build a strong foundation in Math?
Go beyond memorizing formulas and sympathize the 'why' backside them. Experience Cuemath and get started.
Book a Complimentary Trial Grade
Practice Questions on Equivalent Fractions
go to slidego to slide
FAQs on Equivalent Fractions
What are Equivalent Fractions in Math?
Ii or more fractions are said to exist equivalent fractions if they are equal to the same value irrespective of their numerators and denominators. For example, 2/four and 8/16 are equivalent fractions because they get reduced to 1/2 when simplified.
What are the Examples of Equivalent Fractions?
There can be many examples of equivalent fractions, like, eight/12 and half dozen/9 are equivalent fractions considering they become reduced to the aforementioned fraction (2/three) when simplified. Similarly, 4/7 and 28/49 are also equivalent fractions.
How to Find Equivalent Fractions?
If the given fractions are simplified and they get reduced to a common fraction, and then they can be termed as equivalent fractions. Apart from this, there are diverse other methods to identify whether the given fractions are equivalent or not. Some of them are as follows:
- Making the denominators the same.
- By finding the decimal form of both the fractions.
- Cantankerous multiplication method.
- Visual method.
What does it Mean when Two Fractions are Equivalent?
When ii fractions are equivalent, it means they are equal to the same value irrespective of their unlike numerators and denominators. In other words, when they are simplified they become reduced to the aforementioned fraction.
Why are Equivalent Fractions Important?
Equivalent fractions aid us to add, subtract, multiply, divide fractions, and compare fractions which helps u.s.a. solve many real-time problems.
What is an Equivalent Improper Fraction?
An equivalent improper fraction means an equivalent fraction in an improper form. A fraction is said to be improper when its numerator is greater than its denominator. For example, 3/ii is an improper fraction that is equivalent to 9/vi.
How to Effigy out Equivalent Fractions?
Any ii fractions tin can be considered to be equivalent if they are equal to the same value. At that place are diverse methods to observe out if the fractions are equivalent. The basic method is by reducing them. If they get reduced to the aforementioned fraction they are considered to be equivalent.
How to Write Equivalent Fractions?
Equivalent fractions can exist written by multiplying or dividing both the numerator and the denominator past the same number. This is the reason why these fractions get reduced to the aforementioned number when they are simplified. For example, permit us write an equivalent fraction for 2/3. We will multiply the numerator and denominator by 4 and we will get (2 × 4)/(3 × 4) = 8/12. Therefore, 8/12 and two/three are equivalent fractions.
Give 2 Equivalent Fractions for half dozen/8.
In order to write the equivalent fraction for vi/8, allow us multiply the numerator and denominator past 2 and we will get (6 × two)/(viii × 2) = 12/xvi. Therefore, 6/eight and 12/16 are equivalent fractions. Now, let us go another equivalent fraction for half dozen/8, by dividing it by a common number, say, ii. Later on dividing the numerator and denominator by two and we will become (6 ÷ ii)/(8 ÷ 2) = 3/4. Therefore, 6/8 and 3/iv are equivalent fractions.
What are the Equivalent Fractions of ane/4?
In order to discover the equivalent fractions of 1/four, let us multiply the numerator and denominator by the same number. And so, nosotros will multiply it past 2 which will be, (1 × 2)/(4 × 2) = 2/8. Now, to find another equivalent fraction for one/4, let usa multiply it by three. This volition be, (1 × 3)/(iv × 3) = iii/12. So, we get two equivalent fractions for one/four, and they are 2/8 and 3/12.
Give two Equivalent Fractions for 2/three.
In lodge to detect the equivalent fractions of ii/3, let us multiply the numerator and denominator by the same number. And then, nosotros will multiply information technology by five which will be, (ii × five)/(3 × v) = 10/xv. Now, to find another equivalent fraction for two/3, let us multiply it past 6. This will exist, (2 × 6)/(3 × 6) = 12/18. So, we get two equivalent fractions for 2/3, and they are ten/15 and 12/18.
What Is Equivalent To 9/6,
Source: https://www.cuemath.com/numbers/equivalent-fractions/
Posted by: cliffordponeely.blogspot.com
0 Response to "What Is Equivalent To 9/6"
Post a Comment