There are many methods used to covert a fraction into a decimal, but I am only going to explain two. One method for converting a fraction into a decimal would be to divide the numerator by the denominator. Lets say for example that we want to convert the fraction 3/4 into a decimal. The first thing you do is put your equation as follows: three divided by four. So, since four can't go into three, you have to add a decimal and a zero. Then you put that four can go into thirty, four times. Therefore, you put the seven on the top of the box of division.
Then you multiply seven by four which equals twenty-eight. Then you would put that answer under the thirty, and after that you would subtract. As a result, your answer would be two. Since four can't go into two you add another zero. After that you have to see how many times four goes into twenty. Four goes into twenty, five times. So the last thing you would do would put that five on top of the division box next to your previous answer, which in this case is seven. You final answer then would be .75. This is one method used to convert fractions into decimals.
Another method would be to rename the fraction. To do this you need to make the fraction become much bigger in numbers. For example lets say that our fraction is 9/25, you can either make the fraction's denominator become either one hundred or one thousand. In this case we will try both. First, lets rename this fraction's denominator to one hundred. As you can see twenty-five goes into one hundred four times. Therefore, what ever you do to the bottom you do to the top. So, if you would multiply twenty-five by four, you get one hundred as your answer. You would also multiply nine by four getting thirty as you answer. Your results would then be 36/100. The last step is very all you have to do now is move the decimal point two times to the right. Your final answer as a decimal would be .36.
You have to move the decimal to the right two times, every time you convert a fraction that has a denominator of 100 . So, now lets try it with 1000. It is much like making the denominator into 100, but now all you are doing is multiplying both the fraction's numerator and denominator by 40. Why 40? Well because since you multiplied the 100 by to the number being multiplied is also multiplies by 10. Your fraction answer would then be 360/1000. You then put 360 down and move the decimal to the right three times. Remember to move the decimal to the right three times every time you are dealing to convert a fraction into a decimal that has the denominator of 1000. I like to convert fractions into decimals y using the first method because, it will be much easier and faster to do with much complex fractions.
Then you multiply seven by four which equals twenty-eight. Then you would put that answer under the thirty, and after that you would subtract. As a result, your answer would be two. Since four can't go into two you add another zero. After that you have to see how many times four goes into twenty. Four goes into twenty, five times. So the last thing you would do would put that five on top of the division box next to your previous answer, which in this case is seven. You final answer then would be .75. This is one method used to convert fractions into decimals.
Another method would be to rename the fraction. To do this you need to make the fraction become much bigger in numbers. For example lets say that our fraction is 9/25, you can either make the fraction's denominator become either one hundred or one thousand. In this case we will try both. First, lets rename this fraction's denominator to one hundred. As you can see twenty-five goes into one hundred four times. Therefore, what ever you do to the bottom you do to the top. So, if you would multiply twenty-five by four, you get one hundred as your answer. You would also multiply nine by four getting thirty as you answer. Your results would then be 36/100. The last step is very all you have to do now is move the decimal point two times to the right. Your final answer as a decimal would be .36.
You have to move the decimal to the right two times, every time you convert a fraction that has a denominator of 100 . So, now lets try it with 1000. It is much like making the denominator into 100, but now all you are doing is multiplying both the fraction's numerator and denominator by 40. Why 40? Well because since you multiplied the 100 by to the number being multiplied is also multiplies by 10. Your fraction answer would then be 360/1000. You then put 360 down and move the decimal to the right three times. Remember to move the decimal to the right three times every time you are dealing to convert a fraction into a decimal that has the denominator of 1000. I like to convert fractions into decimals y using the first method because, it will be much easier and faster to do with much complex fractions.
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