Two repeating decimals equivalent to a fraction with the denominator 10

write as decimal over one as fraction.
multiply top and bottom for number of decimal places by 10^(number of decimal places) to eliminate decimal.
Find the greatest common factor (gcf) for both numerator and denominator and divide both by this number in this case 2.
Simplify result.

30621/50000



Decimal to Fraction Calculator

1. Reduce fractions to lowest common denominators.
2. Multiply numerators together to find new numerator
3. Multiply denominators together to find new denominator

You're on the right track!

920 92 46 23
------ = ---- = ---- = ---
1000 100 50 25

Now we can't go any further, because 23 is prime.

Good luck.

Paul

Use this http://www.calculatorsoup.com/calculators/math/percent-to-fraction-calculator.php
OR to work it out yourself.....#

How to convert percent to fraction

1. Divide the percent by 100 to get decimal number.
2. Count the number of digits (d) to the right of the decimal point of the decimal number.Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
3. Calculate the factor (f) for making the decimal number an integer: f = 10 to power d
   Example:
   f = 10 power 2 = 100
   
4. Multiply and divide the decimal number x by the factor f: x * f / f = y / f
   Example:
   2.56 * 100 / 100 = 256 / 100
   
5. Find the greatest common divisor (gcd) of the fraction. Example:
   gcd(256,100) = 4
   
6. Reduce the fraction by dividing the numerator and denominator by the gcd value: Example:
   256 / 100 = (256/4) / (100/4) = 64/25
   

Example One percent is equal to one hundredth:
1% = 1/100
So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.
For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:
56% = 56/100 = 14/25

Use the words: decimal part, not decimal fractin
Any number whose decimal part is periodic (has a recurring pattern that repeats indefinitely) is equivalent to a rational number, IS a rational number
0.345 345 345 ... =345/999=115/333
In the following screen captures, discard the last digit if it does not belong to a period. It is the effect of rounding up of the calculator



Period is 345


Period is 1

Period is 09

Period is 79


In general, if you have a decimal part of the form 0.d_1 d_2 d_3....d_n d_1 d_2 d_3 ...d_n ... where d_1 is the first digit of the period, d_2 is the 2nd digit of the period, ..., d_n is the n-th digit (and the last one) of the period, then the fraction representation of
0.d_1d_2...d_n d_1d_2... d_n ...=(d_1d_2...d_n)/(99...9) where the number of 9's in the denominator is equal to the number of digits in the period.
Once the fraction is found, one should reduce it to its simplest form.

Press the [S=D] key to toggle between fractions and decimals. Converting a decimal result to a fraction is not always possible. There may be limit of 10 digits between numerator and denominator.

Say you have a repeating decimal number 0.714285 714285 714285 etc. You identify the period (the repeating part) and in this case it is 714285.
You count the number of decimal places in the period: here it is 6. Your equivalent fraction is
Fraction= period/(99...9) where the number of 9's in the denominator is equal to the number of decimal places in the period. For this case, that is 6.
Thus
0.714285 714285 714285 etc.= 714285 / 999999

Reduce the fraction and you will find 5/7

This technique works for a repeating decimal number where the period starts just after the decimal mark.

If the periodic part does not start right after the decimal mark there are modifications to be made.

find the least common denominator between the original fraction into the new fraction.
example, 1/2 to 2/4 to 4/8 to 8/16.

If your calculator is configured to be in MthIO, the fraction that is displayed is always reduced to its simplest form. (The denominator is the smallest possible.)
If you are adding fractions, the result is also a fraction in its reduced form.
If you want to convert a fraction to a decimal number, press the [S<=>D] key.

To set MthIO: Press [SHIFT][MODE] (SetUp) and select [1:MthIO]
To set LineIO: Press [SHIFT][MODE](SetUp) and select [2:LineIO]
In LineIO, all results are expressed in decimal format.

To force a fraction to be displayed as a decimal number put a decimal mark at the end of the numerator OR the denominator. Fraction/decimal result is always decimal.