Hello I’m working on math homework but I don’t know how to convert decimals like 4.3 to a fraction when the only choices are as follows:
-2 1/2
-3 3/4
4 1/3
-4 1/2
And also please tell me how to convert decimals to fractions so I can do it on my own from now on. Thank you.
The answer I would go with is 4 1/3, although the correct fraction would be 4 3/10. What you do is, take the number after the point and put it over the denominator 10, 100, 1000, ect. depending on how many digits after the decimal there are. Since there is one digit (3) after the decimal, you put it over 10, because ten has one zero. So if it was 4.75 for another example, you would put the 75 over 100 like this- 75/100 because there are two digits after the decimal point and one-hundred has two zeros after the one. Oh, and it helps if you are converting to fraction, if you read the decimal as "Four and three-tenths" instead of "Four-point-three". It just helps me better.
Oh, and for converting fractions to decimals, you multiply the fraction until it is in tenths, hundreths, thousands, ect (or something that ends in a zero and starts with a one) like 6/10 or 5 & 437/1000, and then you put the numerator behind the decimal point, like 5.437.
*The exception is if the fraction is in thirds, sevenths, elevenths, or anything else that is a prime number. If you do happen to have one like this, divide the numerator by the denominator (Like if you did 1 divided by 3 and got 0.333333….) Then you would write it as 0.3 with a little bar over the three because common sense tells you the three goes on forever. The bar means ‘this number repeats forever and I don’t want to write it out’, or something along those lines. Oh, and you can use the divide-the-numerator-by-the-denominator- trick for other fractions, too. I hadn’t thought of that before.*