# How can we write 0.65 as a fraction?

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Last Updated on February 22, 2023 by Tabraiz

This can be regarded as a very simple but interesting mathematical question. Questions like this are very common in the examinations of children. It is actually a primary school level question. Thus, for children older than that it might seem like a very simple question and they might answer it within seconds.

But in the case of small children who are undergoing the primary level education. Questions like this can seem a bit complicated. But with proper practice and thorough understanding, questions like conversion of 0.65 as a fraction can be answered very easily. The role of parents as well as the teachers are very important when it comes to making the kids capable of answering questions like these.

They should never try to skip any steps and directly arrive at the answer. Doing such things can make it very difficult for the students to understand the process thoroughly. The adults should always try to break the process into simple steps which the students can understand easily. Then each step should be discussed in detail.

Such a learning will surely help the students to understand the question and answer them easily. This will also make them capable of answering similar questions like that. Thus, it is evident that the adults should always try to explain the general process to the children in detail. This way they will be able to apply the process and solve all the similar mathematical problems. This technique should be utilized in case of all types of problems regardless of age. This ensures that the student is able to build a strong base or foundation for himself/herself.

## Steps for converting 0.65 as a fraction

1.       The first step in the process of conversion of any decimal number into its fraction is removing the decimal point. Thus, the decimal number 0.65 can be written as 65/100. We have placed two zeros after 1 in the denominator because there are two decimal places in the given number.

Thus, the number of zeros that comes in the denominator is equal to the number of decimal places in the given number. We have to remember this fact. This applies for all decimal numbers. Now, let us discuss another decimal number to make the first step clearer. So, this time let us consider 0.986.

In this case we can see that there are three decimal places after the decimal point. Thus, to remove the decimal point of this number, we have to add three zeros after 1 in the denominator. Hence, we will arrive at the fraction 986/1000.  So, it is quite evident that this is the first step that we should carry out. Whenever we are given a decimal number and we have to convert it into a fraction.

The given rule applies for all sorts of decimal numbers. We just have to keep in mind that the number of zeros that comes in the denominator. Always equal to the number of decimal places present in the given number.

2.      After completing the first step successfully, we can see that we have got a fraction now. But if you look carefully, you will see that this fraction is not in its simplest form. A fraction that is not in its simplest form cannot be regarded as the correct answer to this question. So, essentially our next step in the process of conversion of 0.65 as a fraction. Will be to convert the obtained fraction into its simplest form.

In order to do so, we have to check what are the common numbers by which both the numerator. As well as denominator of the fraction are divisible. Then we have to select the appropriate number and by using it we have to divide both the numerator and the denominator of our fraction. This will lead us to another fraction.

Again, we have to check if that particular fraction is in its simplest form or not. A fraction in its simplest form can be regarded as one in which we will not be able to further divide both. The numerator and the denominator by any common numbers. Thus, such a fraction can be regarded as a fraction in its simplest form. Only that fraction can be considered as the correct answer to this question.

Thus, after checking, if the second fraction is also not in its simplest form. Then we have to repeat the process until we arrive at a fraction which is in its simplest form!

3.      So, in order to convert 0.65 as a fraction, we have to convert 65/100 into its simplest form. By dividing both the numerator and the denominator of the fraction by 5, we will get 13/20. As we can see, this fraction cannot be divided further by any other numbers. Thus, it can be stated that this fraction is in its simplest form.

Hence, we can stop right here and conclude that the answer to the given problem is 13/20. We are stopping here because in case of this problem we have got a simple fraction. After the first round of division. But in case of problems, where we do not get the simple fraction after the first round of division. We have to continue the process until we arrive at a fraction in its simplest form.

Hence, from our discussion of the mathematical problem 0.65 as a fraction. It is quite evident that these types of problems are indeed very simple and easy to do. We just have to understand the steps that are involved in solving them.

Thus, the teachers as well as the other people who are involved in teaching the children should make sure that they are explaining all the steps to the children properly. They should never try to skip any of the steps that are involved. This will greatly help the children to understand the process. Thoroughly and solve all kinds of similar sums employing the process!

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