Fraction Divisibility Rules | Proper, Improper and More

More videos on fraction divisibility rules covering proper, improper, and like fractions.


Fractions give a few individuals bad dreams, yet this doesn't need to be you. Continue viewing this video lesson and you will turn out with a superior comprehension of fractions. Most importantly, you won't feel so apprehensive of them.

We start with the meaning of fractions. A fraction just lets us know the number of parts of a whole. You can identify a fraction by the slash (/) that is composed between the two numbers. We have a top number, the numerator, and a base number, the denominator. For instance, 1/2 is a fraction. You can compose it with an inclined slash like we have or you can compose the 1 on top of the 2 with the slash between the two numbers. The 1 is the numerator and the 2 is the denominator.
What does this fraction mean? Let’s say we have a pie, the base number lets us know what number of pieces to piece the pie and the top number lets us know what number of those pieces we can have. So 1/2 lets us know that we have piece our pie into two pieces and we can take 1 of those pieces. Isn't that half of the pie? So 1/2 of a pie is a large fraction of a pie! Now that is a really enormous piece! Top it with whipped cream and we are ready!

Inside of the universe of fractions, there are several methods for composing them. We should examine these now.

Proper and Improper Fractions

To begin with, we have what we call " Proper " and " Improper " fractions. Proper fractions are those fractions where the numerator is less than the denominator. An Improper fraction is a fraction where the numerator is more than the denominator. For instance, the part 7/8 is a proper fraction, where 8/7 is an improper fraction.

Consider it attempting to take your two pieces from only one pie. With a proper fraction, you can take your pieces from simply the one pie, however with an improper fraction, you require more than one pie to get the quantity of pieces that you require. The fraction 7/8 instructs you to take 7 pieces out of a pie with 8 pieces. You can take every one of your pieces from simply the one pie. In any case, the part 8/7 says that you require 8 pieces from a pie that just has 7 pieces. In the event that your pie just has 7 pieces, you can just take 7 pieces from one pie. To get your eighth piece, you require a second pie that is additionally cut into 7 pieces from which you can take one piece to make your eighth piece.

You could say that improper fractions are insatiable fractions in light of the fact that you require more than one entire pie to fulfill it. Proper fractions can be fulfilled by taking pieces from only one pie.

Like Fractions:

Like fractions are parts whose denominators (base numbers) are the same.


1) 2/5, 3/5, 8/5, 11/5 are like fractions as the denominator 5 is same in all parts.

2) 11/15, 23/15, 112/15 are like fractions as the denominator 15 is same in every

one of the parts.

3) 7,6,5 are like fractions as there is no denominator so consider 1 as a denominator so it will be 7/1,6/1 and 5/1.

Unlike Fractions: The fractions with different denominators are called unlike fractions.

Example of Unlike Fractions:

1) 3/7, 8/5, 12/11 are not at all like fractions as in every division denominators are distinctive.

2) 4/11, 1/2, 3/4, 6/13 are not at all like fractions as in every division denominators are distinctive.


To reduce a fraction, find a number by which both the numerator and denominator can be divided.

Divisible By Rules of Divisibility
Divisibility Rule of 2 The last digit or the unit digit is even (0,2,4,6,8).
Divisibility Rule of 3 The sum of the digits is divisible by 3.
Divisibility Rule of 4 The last two digits are divisible by 4.
Divisibility Rule of 5 The unit digit or last digit is 0 or 5.
Divisibility Rule of 6 Number divisible by both 2 and 3
Divisibility Rule of 7 The last digit is multiplied by 2 and subtracted from the rest of the number. The result is either 0 or divisible by 7.
Divisibility Rule of 8 The last three digits are divisible by 8.
Divisibility Rule of 9 The sum of the digits is divisible by 9.
Divisibility The unit digit is zero
Divisibility Rule of 11 The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.
Divisibility Rule of 12 Number divisible by both 3 and 4.