When we talk about divisions and simple arithmetic, a lot of problems look actually simple but are quite confusing. The fact that we are worried about simple numbers explains a lot of our feelings towards maths.
Although it is quite simple once we know how to do it, the simple process complexes over so much that it gets really hard to understand the basics of the same.
It is really easy to do the steps once you have an actual grasp on the subject, but it is quite complicated if you don’t understand the same. Also, it is not possible to do everything without the need to know the basics.
Because, to jump over to hard maths like algebra and geometry, one must know the basics such as division, divisor and everything. We will discuss it all below regarding the same but you need to understand the basics of division first.
As to what goes when you can answer as for 8 over 12 but the fact is that you need to learn smaller calculations first. Let’s look into this in more detail by a Q&A format:-
How will you solve 8 over 12 then?
Ans. To explain it precisely, you cannot divide numbers where the denominator is more complex than the numerator.
The most basic component of division is to understand the fact that there are two numbers known as the numerator and the denominator which are used for the calculations.
The numerator should always be greater than the denominator as failure to do so would result in some weird number.
Also, the next important thing is that the numerator should be divisible by the denominator such that when we recite the table of the denominator it should contain the numerator.
These are some of the rules that are necessary for division when it comes to students from the lower grades.
But, it is maths, it evolves and becomes more complex. You can also divide those numerators that do not exist in the tables or multiplication times of the denominator by adding a decimal point.
We’ll discuss this in great detail later. Also, you can even divide a smaller numerator with a bigger denominator by adding 0 and a decimal point.
How can you divide 8 over 12?
Ans. Although the answer is pretty simple and I can just state it in just alphabets, the process behind it is far more complex. You would have to not only solve a division question but also a division question of a higher grade. Why? Because it contains a larger denominator.
In such cases, we usually simplify the terms. If you don’t know what simplification is, you need to understand that maths is also about simplifying complex things to make them understandable.
Although the complexity increases every time you move to a higher grade, the basic functions remain the same. For divisions such as these, there is an arithmetic rule which is applied to these types of calculations that makes it easier to solve.
You have to find a simple number that has both the top and the bottom numbers in their table. Make sure you pick up from 2-9 only and avoid 4, 8, 6. A trick that I would like to tell you here is to check whether they are divisible by 2 or 3 first. If not, check 7.
These three numbers usually give a headache while solving, as a majority of numbers can be done with these three.
How to simplify 8 over 12?
Ans. Now, applying the rule I just mentioned above you can clearly point out how you can solve them. The question is that number 8 is present in the numerator and the number 12 is present in the denominator. The first thing to notice here is that a bigger number is present in the numerator.
Also, neither 12 comes in the multiplication table of 8 or 8 comes in the multiplication table of 12. The decimal point is bound to happen in this state but, you need to be careful concerning the rule.
As per the rule, think of a number that has both these numbers present in their multiplication table. As you read above, 2 is a perfect choice here. Now while solving sums like these cross out the number and just write 4 and 6 respectively.
You don’t have to mention the number 2 anywhere. Just write 4 and 6 by cutting 8 and 12. Now the same dilemma occurs where you have a larger number below and a smaller number above. You have to repeat the exact same thing with the exact same number.
Is 2 over 3 the final answer?
Ans. It depends on what the question is. If your teacher has asked you to simplify the numbers 8 and 12 then voila! You haven’t just learned what the answer is but you have also learned what exactly the process is and what you have to do to get to that answer.
Apart from that, if your question isn’t to simplify the same thing, then you have to level up again and go for the decimal point. It is far easier this way and you don’t have to worry about anything as it isn’t rocket science.
See, decimal is just a point which we add after numbers that makes the number which follows up to be parts of the bigger number. Like when we say it’s one and a half cakes, we mean that it is 1.5 cakes. The 0.5 added here is the decimal number.
Also, it is really easy to solve decimal points. Just add a decimal and the numerator gets a free zero in front. To explain this in a better way, we are left with 2 in the numerator and 3 in the denominator as of now.
What we would do is we would first divide 2 for 3 by 0 so it would be 0 and then add a point and make 2 as 20. So the quotient as of now would be 0 point.
Now 3 times 6 is 18 which is the closest to 12 so again it goes 0.6, but 2 remains again and it would continue to do so and therefore we write the answer as 0.66 with a dash over the 66 to indicate that it is a recurring number.