Equivalent fractions can be characterized as fountain that may have various numerators and denominators yet they stand for the same value. For example, 9/12 and 6/8 are tantamount fractions due to the fact that both are equal come 3/4 when simplified.

You are watching: Which of the following is equivalent to 60^1/2

All identical fractions get diminished to the same portion in your simplest kind as seen in the above example. Explore the provided lesson to acquire a much better idea of just how to uncover equivalent fractions and also how to inspect if the offered fractions room equivalent.

 1 What are indistinguishable Fractions? 2 How to uncover Equivalent Fractions? 3 How to determine if 2 Fractions space Equivalent? 4 FAQs on equivalent Fractions

## What are equivalent Fractions?

Two or an ext fractions are said to be tantamount if they are equal come the same portion when simplified. Because that example, the identical fractions of 1/5 space 5/25, 6/30, and also 4/20, i beg your pardon on simplification, result in the same fraction, that is, 1/5.

### Equivalent fountain Definition

Equivalent fractions are identified as those fractions which room equal to the exact same value irrespective of their numerators and also denominators. Because that example, both 6/12 and also 4/8 space equal come 1/2, as soon as simplified, which way they are tantamount in nature.

### Equivalent fractions Examples

Here room some instances of identical fractions.

Example: 1/2, 2/4, 3/6, and also 4/8 are tantamount fractions. Let us see just how their values are equal. We will stand for each of these fractions as circles with shaded parts. It have the right to be viewed that the shaded parts in all the numbers represent the same portion if seen as a whole.

Here, we have the right to see that the quantity of shaded section is the exact same in all the circles. Hence, 1/2, 2/4, 3/6, and also 4/8 are identical fractions.

## How to discover Equivalent Fractions?

Equivalent fractions deserve to be written by multiplying or separating both the numerator and the denominator through the very same number. This is the reason why this fractions get reduced to the exact same number when they room simplified. Allow us recognize the two means in i beg your pardon we can make identical fractions:

Multiply the numerator and also the denominator by the same number.Divide the numerator and also the denominator by the exact same number.

### Multiply the Numerator and Denominator through the same Number

To discover the indistinguishable fractions for any type of given fraction, main point the numerator and also the denominator by the exact same number. For example, to find an equivalent fraction of 3/4, main point the numerator 3 and also the denominator 4 by the very same number, say, 2. Thus, 6/8 is one equivalent portion of 3/4. We can discover some other identical fractions by multiplying the numerator and also the denominator that the given portion by exact same number.

3/4= (dfrac3 imes 34 imes 3) =9/123/4=(dfrac3 imes 44 imes 4) =12/163/4=(dfrac3 imes 54 imes 5) =15/20

Thus, the equivalent fractions that 3/4 space 6/8, 9/12, 12/16, and 15/20.

### Divide the Numerator and also Denominator by the exact same Number

To uncover the tantamount fractions for any type of given fraction, divide the numerator and the denominator through the exact same number. For example, to find an equivalent fraction of 72/108, we will first find their usual factors. We recognize that 2 is a typical factor that both 72 and 108. Hence, one equivalent portion of 72/108 deserve to be found by splitting its numerator and denominator through 2. Thus, 36/54 is one equivalent portion of 72/108. Let us see how the portion is more simplified:

2 is a typical factor the 36 and also 54. Thus, 36/54= (dfrac36 div 254 div 2)= 18/27Again, 3 is a common factor the 18 and also 27. Thus, 18/27= (dfrac18 div 327 div 3)=6/9Again, 3 is a typical factor the 6 and also 9. Thus, 6/9=(dfrac6 div 39 div 3)=2/3

Therefore, a few equivalent fountain of 72/108 space 36/54, 18/27, 6/9, and also 2/3. Here, 2/3 is the simplified form of 72/108 together there is no typical factor (other 보다 1) of 2 and 3.

We should simplify the provided fractions to find whether castle are tantamount or not. Simplification to gain equivalent numbers have the right to be excellent to a point where both the numerator and denominator need to still be totality numbers. There are various approaches to identify if the offered fractions are equivalent. Few of them are:

Making the platform the same.Finding the decimal form of both the fractions.Cross multiplication method.Visual method.

Let us identify whether 2/6 and also 3/9 are tantamount fractions by every of these methods.

### Making the platform the Same

The denominators of the fractions, 2/6 and 3/9 space 6 and 9. The Least usual Multiple (LCM) of the denominators 6 and 9 is 18. Let united state make the denominators of both fractions 18, by multiplying them with an ideal numbers.

2/6=(dfrac2 imes 36 imes 3)= 6/183/9=(dfrac3 imes 29 imes 2)= 6/18

We deserve to observe the both the fountain are indistinguishable to the same fraction 6/18. Thus, the given fractions are equivalent.

Note: If the fractions are NOT equivalent, we can check the greater or smaller portion by looking at the numerator of both the resultant fractions. Hence, this method can additionally be offered for comparing fractions.

### Finding the Decimal kind of Both the Fractions

Let us discover the decimal type of both the fractions 2/6 and 3/9 to see if they offer the same value.

2/6= 0.3333333...3/9= 0.3333333...

The decimal values of both the fractions room the same and hence, they room equivalent.

### Cross Multiplication Method

To identify whether 2/6 and 3/9 space equivalent, we cross multiply them. If both the assets are the same, the fractions space equivalent.

Since both the products here space 18, the provided fractions room equivalent.

### Visual Method

Let us stand for each of the fractions 2/6 and also 3/9 pictorially on identical shapes and check if the shaded portions of both space equal.

We have the right to see the the shaded sections of both the one depict the exact same value. In various other words, it deserve to be checked out that the shaded parts in both the figures represent the same section if viewed as a whole. Hence, the offered fractions are equivalent.

## Equivalent fountain Chart

Charts and tables are often used to represent ideas in a much better way since they serve as a handy reference for calculations and are less complicated to understand. Anchor charts and also tables, favor the one offered below, do it easier for the students come understand indistinguishable fractions. Let us use the complying with chart to uncover the indistinguishable fractions that 1/4.

From this chart, we deserve to observe the the equivalent fractions the 1/4 are: 2/8, 3/12, 4/16,...

See more: How Long Is A Day In Heaven ? 1 Day In Heaven Is How Many On Earth

Tips on equivalent Fractions

Two fractions are claimed to be indistinguishable if their values (decimal/graphical) room the same.We normally multiply the numerator and also denominator the a portion by the very same number to get its tantamount fraction.The 'Cross multiplication method' is supplied to recognize whether any two fountain are identical or not.'Making the platform the same' is another method used to identify if 2 or much more fractions room equivalent.

☛ Related short articles

Example 1: room 12/20 and also 22/30 indistinguishable fractions?

Solution:

Method 1:

To check if the given fractions space equivalent, we will certainly make the denominators the same by multiplication. The platform of the fractions 12/20 and 22/30 space 20 and also 30. The LCM of the denominators is 60. Let united state make the denominators of both the fractions same to 60, by multiplying them through the perfect numbers: 12/20=(dfrac12 imes 320 imes 3)= 36/60, 22/30=(dfrac22 imes 230 imes 2)= 44/60. Here, it can be viewed that 36 is no equal to 44, that is 36