Percent to fraction


To convert percent to fraction, simply combine the techniques used when converting percent to decimal and decimal to fraction.


Let's convert 20% ...


... without a calculator


Start by converting 20% to a decimal


Remove the percent sign (%)

20


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

2/10


which can be simplified by dividing numerator and denominator by factor 2 to give

1/5


i.e. 20% = 0.2 = 1/5


... with a calculator


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

0.2


Or perhaps your calculator has a percentage button?



If so, simply enter 20 then press the % button to give

0.2


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!


How about another example of percent to fraction?


For instance, convert 5%


... without a calculator


Convert 5% to a decimal


Remove the percentage sign (%)

5


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

5/100


which can be simplified by dividing numerator and denominator by factor 5 to give

1/20


i.e. 5% = 0.05 = 1/20


... with a calculator


Again you can use your calculator initially to convert percent to decimal


Enter 5, press ÷, enter 100, press = to give

0.05


Alternatively enter 5 on your calculator, then press the % button.


Now 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!


What next?


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:

Calculate percentage

Percent of change (percentage change)

Percent to decimal

Decimal to percent

Fraction to percent


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