Conversion of a decimal number into its corresponding fraction can be regarded as quite easy. This can be carried out with the help of two simple steps. The first step is the removal of the decimal point. The second step is the conversion of the obtained fraction into a fraction in its simplest form. Thus, with these two simple steps, we can easily convert any decimal number into a fractional number. So, here we will be discussing how to write 1.8 as a fraction. So, without further delay, let’s get into our discussion of the topic!
1. Removal of the Decimal point
This can be regarded as a very simple process. In order to remove the decimal point from a given decimal number, we have to add zeros after 1 in the denominator. The number of zeros that we have to add is equivalent to the number of decimal places present in the given number. Thus, we have to keep this basic concept in our mind before proceeding with such conversions. Now, here the given decimal number is 1.8. So, the first thing that we have to do is to count the number of decimal places present in the given number. As we can see, in the case of 1.8, there is only one decimal place present. So, we have to add one zero after 1 in the denominator. Thus, the denominator will be 10. Hence, we will get the fraction 18/10. This can be regarded as the completion of the first step in the process of writing 1.8 as a fraction.
The same rule applies for all decimal numbers. Let us look at an example to get a clear idea of this concept. Suppose, we have a decimal number, 0.678. Now, in this case, the given decimal number has three decimal places in it. So, we have to add three zeros after 1 in the denominator. Likewise, if a decimal number has two decimal places then we have to add two zeros after 1 in the denominator. Thus, it can be assured that if the basic concept is understood, then conversions of these types can be carried out very easily. Now, let us proceed to the next step of this conversion procedure.
2. Converting 18/10 into its simplest form to write 1.8 as a fraction
Now, as we can see, the fraction 18/10 is not present in its simplest form. In order to convert this fraction into a fraction in its simplest form, we have to divide the numerator and the denominator by the same number. In this case, we have to divide by 2. This will give us the fraction 9/5. As we can see, this fraction is present in its simplest form. Thus, we do not have to perform further divisions in this case. Thus, 9/5 can be regarded as the required answer to the given question.
But, we have to keep one thing in mind. Sometimes, in the case of certain decimal numbers, we will not get a fraction in its simplest form after the first round of division. During such cases, we have to perform the rounds of division till we arrive at a fraction in its simplest form. Sometimes we may have to perform three or more rounds of divisions for this purpose.
Thus, from our discussion of the topic, it can be concluded that if we write 1.8 as a fraction, we will get 9/5. In other words, 1.8 is equivalent to 9/5. Thus, it is evident that conversion of a decimal number into its corresponding fraction is quite simple and can be carried out very easily!
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