Like fractions and unlike fractions space two common types of fractions based upon the denominators. If two or more fractions re-publishing the same denominator we call them choose fractions, if on the other hand, if the denominators of 2 or much more fractions room different, those are known as uneven fractions. For example, 1/2 and 3/2 are favor fractions and also 1/2 and 3/4 space unlike fractions.

You are watching: Explain what is the same about two fractions that are like fractions

1.What are choose Fractions and Unlike Fractions?
2.Comparing choose Fractions and Unlike Fractions
3.Arithmetic operations on choose Fractions and Unlike Fractions
4.Solved examples
5.Practice Questions
6.FAQs of prefer Fractions and Unlike Fractions

What are prefer Fractions and Unlike Fractions?


As explained above, favor fractions and unlike fractions space the two an easy types of fractions that we need to know before learning around the comparison of fractions and also arithmetic to work on fractions. Us should constantly have at least two fountain to categorize them right into like fractions and also unlike fractions. Allow us recognize their interpretations in detail.

Like Fractions

The fountain which have the exact same denominator are referred to as like fractions. I.e. Their denominators room equal. For example, if we have actually a group of fountain such as 1/5, 2/5, 3/5, 4/5. Because the denominators of every of the fractions space the same i.e. 5, they are prefer fractions. In prefer fractions, the whole is constantly the exact same which is stood for by the common denominators.

*

Note:There space fractions such together 1/3, 2/6, and 3/9. This are also called favor fractions also though their denominators space different due to the fact that we can simplify all of them come 1/3 where we acquire the very same denominator 3. Whole numbers such together 1,2 and 3 are considered like fractions because their denominators though not clearly stated, are thought about 1.

Unlike Fractions

Unlike fractions room the fractions where the denominator of each fraction is different. For example, if we have a team of fractions such together 3/8, 2/3, 3/5, and also 2/7, they space unlike fractions due to the fact that the platform 8, 3, 5, and also 7 space different. In unequal fractions, us take parts of the various whole.

*


Comparing favor Fractions and Unlike Fractions


There are various ways to compare choose fractions and also unlike fractions which are described below. It is basic to compare prefer fractions just by spring at your numerators, yet we have to convert unlike fractions to favor fractions in order to compare them.

To compare prefer fractions, we only must compare the numerators because the denominators are equal. Because that example, let us compare 2 fractions 7/8 and also 5/8 which have the very same denominator 8. Since 7 shaded parts of 8 space bigger than the 5 shaded parts of 8 therefore 7/8 > 5/8. The comparison of like fractions is shown in the image below.

*

There space two cases that come increase while comparing two or much more unlike fractions. An initial is as soon as the numerators of unequal fractions are the same and also denominators are different. In this case, the fraction having a smaller sized denominator is the largest and the fraction having the biggest denominator is the smallest. Let us compare 2 fractions 8/9 and also 8/11 which have actually the same numerator. Because 8 shaded components of 9 are bigger 보다 the 8 shaded components of 11 thus 8/9 > 8/11. The second case is as soon as both numerators and denominators space different. Here, we have to first convert unlike fractions to like fractions by acquisition LCM of your denominators. Because that example, let us compare 2/3 and 4/5. The LCM that the platform 3 and 5 is 15. Now, main point the numerator and also denominator that the first fraction through 5 to gain 15 together the denominator, 2/3 × 5/5 = 10/15. Now, main point the numerator and denominator of the second fraction by 3 to obtain 15 together the denominator, 4/5 × 3/3 = 12/15. Currently we need to compare this two like fractions obtained, 10/15 and 12/15. Here, 10/15

This is how comparison the like and unlike fractions are done.

*


Arithmetic operations on favor Fractions and also Unlike Fractions

They space 4 basic arithmeticoperations on prefer fractions and unlike fractions. They room as follows: addition, subtraction, multiplication, and also division. Let us understand exactly how to perform each of these operations on prefer fractions and unlike fountain in detail.


Addition the Like and also Unlike Fractions

To include like fountain i.e. Fractions having the exact same denominators, simply add the numerators and consider the denominators just once. For example, to include 3/5 and 7/5, we add the molecule 3 and 7, which is 10. Now, usage the usual denominator as the denominator of the sum. So the final answer is 10/5, which deserve to be simplified to 2.

To add unlike fractions, we an initial convert them to choose fractions and then add them. To know more about adding like and also unlike fractions, click here.

Subtraction of favor Fractions and Unlike Fractions


To subtract one favor fractionfrom the other, merely subtract one numerator from the other and also consider the denominators just once. For example, to subtract 1/4 from 3/4, us subtract your numerators, together 3-1 =2. Now, usage the common denominator together the denominator of the answer. So, 3/4 - 1/4 = 2/4. We can more simplify 2/4 by dividing both the molecule by 2, so 2/4 = 1/2. Therefore, 3/4 - 1/4 = 1/2.

To subtract one unlike fraction from the other, there space two methods. They room the cross-multiplication method and the LCM method.

Let us take into consideration the individually of fractions 4/15 indigenous 7/12. The denominators room 12 and 15. The common divisor between 12 and also 15 space 1 and also 3. Due to the fact that 1 is no the only common divisor in between 12 and 15, us can use the LCM method as presented below:

7/12 - 4/15The LCM the the denominators 12 and 15 is 607/12 - 4/15 = ((7 x 5)/(12 x 5)) - ((4 x 4)/(15 x 4))(35/60) - (16/60)(35 - 16)/60=19/60

To know more about the individually of fractions, click here.

Multiplication the Like and Unlike Fractions

To multiply like and unlike fractions, we have to multiply the numerators, main point the denominators, and also then leveling the result if needed.

Example of like fractions multiplication: 1/3 x 2/3 = (1 x 2)/(3 x 3) = 2/9Example of unlike fractions multiplication: 1/5 x 3/8 = (1 x 3)/(5 x 8) = 3/40

To know an ext about multiplication the fractions, click here.

Division of choose Fractions and Unlike Fractions:

To divide choose fractions and unlike fractions, we have to replace the department sign with multiplication and take the reciprocal of the second fraction or flip/change that is numerator and also denominator and then monitor the same actions as multiplication.

Example for division of like fractions: 3/5 ÷ 4/5 = 3/5 × 5/4 = (3 × 5)/(5 × 4) = 15/20. This deserve to be streamlined to 3/4 by splitting both the numerator and also the denominator by 5. Therefore, 3/5 ÷ 4/5 = 3/4Example of unlike fountain division: 2/5 ÷ 3/7 = 2/5 × 7/3 =(2 × 7)/(5 × 3) = 14/15. Observe that 3/7 has been flipped/changed to 7/3 and the sign readjusted from division to multiplication.

To know more about the division of fractions, click here.

Related posts on favor Fractions and Unlike Fractions

Check these articles related to choose fractions and also unlike fractions.


Example 2. Discover the amount of the unlike fountain 1/7 and also 1/3.

Solution: The denominators are 7 and also 3 and thus, 1/7 and also 1/3 are unlike fractions. First, let us transform them right into like fractions.

The actions are:

The LCM that the platform 7 and 3 is 21Multiply the numerator and also denominator that the very first fraction by 3, 1/7 × 3/3 = 3/21Multiply the numerator and denominator of the second fraction by 7, 1/3 × 7/7 = 7/21Add the resultant numerators the the two choose fractions that we acquire in actions 2 and also 3. So, 3/21 + 7/21 = (3+7)/21 = 10/21The resultant fraction is 10/21.

See more: Ch A Color That Starts With The Letter C Olor Names That Start With Letter "C"

Therefore, the 1/7+1/3= 10/21.