Converting Decimals to FractionsDate: 06/07/98 at 18:35:08 From: Brittany Subject: Decimals to fractions I'm going to have a test on decimals to fractions, and my teacher hasn't really explained to me so that I understand how to do it. I'm stuck at the very beginning of the problem, so you would have to start from the beginning. From, Brittany Date: 06/10/98 at 19:47:38 From: Doctor Fred Subject: Re: Decimals to fractions Decimals and fractions give a lot of people trouble when they are first learning them. The key to being able to go from decimals to fractions is the place values of the decimal. By that I mean tenths, hundredths, and so on. For example, in the number .123456, the 1 is in the tenths place, the 2 is in the hundredths place, the 3 is in the thousandths place, the 4 is in the ten-thousandths place, the 5 is in the hundred-thousandths place, and the 6 is in the millionths place. If you can remember that, then reading the decimal can help you see how to write the fraction. For example, suppose we want to write .3 as a fraction. Since the last digit is in the tenths place we read that decimal as three-tenths. So it is the fraction 3/10. If we want to do .45, the last number is in the hundredths place so the number is 45 hundredths or: 45 --- 100 Now, we need to write that fraction in lowest terms, and so our final answer will be: 9 -- 20 For another example, write .012 as a fraction. The last number is in the thousandths place so our decimal is 12 thousandths. So, we have: 12 6 3 ---- = --- = --- 1000 500 250 I hope this helps. You can also check out our FAQ on decimals and fractions which can be found at: http://mathforum.org/dr.math/faq/faq.fractions.html -Doctor Fred, The Math Forum http://mathforum.org/dr.math/ |
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