Let's convert 20% ...
Start by converting 20% to a decimal
Remove the percent sign (%)
and shift the decimal point 2 places to the left
20 = 20.0 -> 2.0 -> 0.2
Next convert the decimal 0.2 to a fraction
The numerator comprises the digit to the right of the decimal point 2. This digit occupies the tenths (1/10s) position, so the denominator's 10.
Therefore 0.2 is equal to
which can be simplified by dividing numerator and denominator by factor 2 to give
i.e. 20% = 0.2 = 1/5
You can also use your calculator to perform the initial conversion of 20% to a decimal
Enter 20, followed by the divide sign (÷), then 100, and finally the equals sign (=).
Your calculator display should show
Or perhaps your calculator has a percentage button?
If so, simply enter 20 then press the % button to give
Note some calculators require a shift or 2nd function button to be pressed
to access %
Now convert decimal to fraction without your calculator - you already did this above and found 0.2 equals
2/10 = 1/5
You've confirmed 20% = 0.2 = 1/5 with some initial help from your calculator!
For instance, convert 5%
Convert 5% to a decimal
Remove the percentage sign (%)
then shift the decimal point 2 places to the left
5 = 5.0 -> 0.5 -> 0.05
Next convert the decimal 0.05 to a fraction
The numerator consists of the digits to the right of the decimal point 05 = 5. The last digit 5 occupies the hundredths (1/100s) position, making the denominator 100.
So 0.05 is equal to
which can be simplified by dividing numerator and denominator by factor 5 to give
i.e. 5% = 0.05 = 1/20
Again you can use your calculator initially to convert percent to decimal
Enter 5, press ÷, enter 100, press = to give
Alternatively enter 5 on your calculator, then press the % button.
convert decimal to fraction without your calculator. You've
already done this above and found 0.05 equals
5/100 = 1/20
You've confirmed 5% = 0.05 = 1/20!
Choose some percentages and try converting them to fractions with or without your calculator.
Want to learn how to convert fraction back to percent? Click here.
For more on percentages click:
Percent to fraction