Any easy way to find the values of fractions?

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However, if the denominator is a divisor of a number in the form 99...900..0 then there is a shortcut. For example:7/33 = 21/99 = 0.21212121...2/55 = 36/990 = 0.036363636...8/3700 = 216/99900 = 0.00216216216...In summary, for fractions with denominators that end in '9', there is no easy way to find their decimal representation without a calculator, unless the denominator is a divisor of a number in the form 99...900..0.
  • #1
rock.freak667
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For example..without a calculator is there any easy way to find the value of [itex]\frac{1}{19}[/itex] or any fraction in which the denominator ends in a '9' ?
 
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  • #2
Not that I know of. If the denominator is a divisor of a number of the form 99...900..0 then there is an easy way. For example:
7/33 = 21/99 = 0.21212121...
2/55 = 36/990 = 0.036363636...
8/3700 = 216/99900 = 0.00216216216...
 
  • #3
The value of 1/19 is...1/19.
 
  • #4
rock.freak667 said:
For example..without a calculator is there any easy way to find the value of [itex]\frac{1}{19}[/itex] or any fraction in which the denominator ends in a '9' ?
To find the decimal representation of a fraction, I find long division to be pretty fast and easy...
 

Related to Any easy way to find the values of fractions?

1. What is the easiest method for finding the value of a fraction?

The easiest way to find the value of a fraction is to divide the numerator (top number) by the denominator (bottom number). For example, the fraction 3/4 can be found by dividing 3 by 4, which equals 0.75.

2. How do I simplify fractions to find their values?

To simplify a fraction, you need to find the greatest common factor of the numerator and denominator and divide both numbers by it. This will give you the simplest form of the fraction. For example, the fraction 8/12 can be simplified to 2/3 by dividing both numbers by the greatest common factor of 4.

3. Can I use a calculator to find the value of a fraction?

Yes, most calculators have a division function that can be used to find the value of a fraction. Simply enter the numerator, divide symbol, and the denominator to get the value. However, it is always good to know how to calculate fractions manually in case a calculator is not available.

4. Is there a shortcut for finding the value of a fraction?

One shortcut for finding the value of a fraction is by using the concept of equivalent fractions. If you can find an equivalent fraction with a smaller denominator, it will be easier to calculate. For example, the fraction 3/8 can be rewritten as 6/16, which may be easier to calculate since 16 is a multiple of 8.

5. Are there any tricks for quickly finding the value of a fraction?

One trick for quickly finding the value of a fraction is to convert the fraction to a decimal. This can be done by dividing the numerator by the denominator. For example, 5/8 can be rewritten as 0.625. This method may be helpful for fractions that do not simplify easily or have large numbers in the numerator or denominator.

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