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  1. Answer = 2 7 20. Example: Convert 0.333 to a fraction. Step 1: Write down: 0.333 1. Step 2: Multiply both top and bottom by 1,000 (3 digits after the decimal point so that is 10×10×10=1,000) 333 1000. Step 3: Simplify Fraction: Can't get any simpler! Answer = 333 1000.

    • Method
    • Tips
    • Warnings
    Write down the decimal. If the decimal terminates, then it should end after one or several points after the decimal.[1] X Research source Let's say you're working with the terminating decimal .325. Write it down.
    Convert the decimal to a fraction. To do this, count how many numbers there are after the decimal point. With the number .325, in this case, there are three numbers after the decimal point. So, put the number "325" over the number 1000, which is really the number 1 with three 0's after it. If you were working with the number .3, which is one number after the decimal points, then you could ...
    Find the greatest common factor (GCF) of the numerator and denominator of the new fraction. This is how you can simplify the fraction. Find the biggest number that divides evenly into both 325 and 1000. In this case, the GCF of both numbers is 25, because that's the largest number that goes evenly into both numbers.[3] X Research source You don't have to look for the GCF right away. You can ...
    Divide both numbers by the GCF to simplify the fraction. [4] X Research source Divide 325 by 25 to get 13 and divide 1000 by 25 to get 40. The simplified fraction is 13/40. So, .325 = 13/40. EXPERT TIP Joseph Meyer Math Teacher Joseph Meyer is a High School Math Teacher based in Pittsburgh, Pennsylvania. He is an educator at City Charter High School, where he has been teaching for over 7 ...
    Once you get better, these questions should take you ten seconds or so unless you need to simplify. Thanks Helpful 3 Not Helpful 1
    Practice makes perfect. Thanks Helpful 3 Not Helpful 2
    When first using this method, a piece of scrap paper and a good eraser is recommended. Thanks Helpful 1 Not Helpful 1
    Don't simplify with the wrong numbers. Thanks Helpful 3 Not Helpful 0
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  2. or just .375, which is our answer. Note that this method only works for a fraction with a denominator that can easily be multiplied to be a value of 10. However, there is a trick you can use to estimate the value of fractions you can’t convert using this method. Check out the example below.

  3. Yes, when converting a decimal to a fraction the denominator of the fraction will always be a power of ten. This is because our decimal system breaks apart the decimal number into tenths (\cfrac {1} {10}), (101), hundredths (\cfrac {1} {100}), (1001), thousandths (\cfrac {1} {1000}), (10001), etc.

  4. Is 35/1,000-- I mean, it's right. That is a fraction. 35/1,000. But if we wanted to simplify it even more looks like we could divide both the numerator and the denominator by 5. And then, just to get it into simplest form, that equals 7/200.

    • 9 min
    • Sal Khan
  5. To convert a decimal to a fraction, we need to figure out the smallest place value of the digits. In this case, the smallest place is the ten-thousandths place, so the fraction will have a denominator of 10,000. The numerator will be the decimal number without the decimal point. Then we check for common factors to simplify. Created by Sal Khan.

    • 1 min
    • Sal Khan
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