Fraction to percent


You can easily convert fraction to percent if you know the methods for converting fraction to decimal and decimal to percent.


For instance, convert the fraction 4/5 to percent ...


... without a calculator


First convert 4/5 to decimal (i.e. divide 4 by 5)



Here are the steps involved -


Ask yourself how many times 5 divides into 4? The answer's zero remainder four. As shown, the zero from zero times is placed above the 4, while the remainder four is carried over to the 0 after the decimal point to make 40.


Now what's 5 divided into 40? Eight exactly, so write 8 above the 40.


4/5 is equal to 0.8


Next convert the decimal 0.8 to percent


Shift the decimal point 2 places to the right

0.8   ->   8.0   ->   80.0  =  80


Add a percent sign

80%


0.8 equals 80%


So 4/5 is equal to 80%


... with a calculator


To convert the fraction 4/5 to decimal on your calculator, enter 4, press the divide sign (÷), enter 5, press the equals sign (=).


The display should show

0.8


To convert this decimal to percent, press the multiply sign (x), enter 100, and finally press the equals sign (=) to give

80


So 4/5 = 0.8 = 80% - you've just confirmed on your calculator that 4/5 is equal to 80%!


How about another example of fraction to percent? Try converting 5/8 ...


... without a calculator


First divide 5 by 8



8 divides into 5 zero times remainder five. As shown in the diagram, the zero from zero times is placed above the 5 and the remainder five is carried over to the first 0 after the decimal point, making 50.


Now 8 divides into 50 six times remainder two. The six is placed above the 50 and the remainder two is carried over to the second 0 after the decimal point to make 20.


Then 8 divides into 20 two times remainder four. The two from two times is placed above the 20 and the remainder four is carried over to the third 0 after the decimal point, making 40.


And finally 8 divides into 40 exactly five times, so 5 is written above the 40.


i.e. the fraction 5/8 equals the decimal 0.625


Next shift the decimal point 2 places to the right

0.625   ->   6.25   ->   62.5


and add a percent sign

62.5%


i.e. the decimal 0.625 is equal to 62.5%


So 5/8 equals 62.5%


... with a calculator


Enter 5, press ÷, enter 8, press = to give

0.625


Now press x, enter 100, press =. Your calculator should display

62.5


You've confirmed 5/8 is equal to 62.5%!


Practice some more fraction to percent conversions


Pick some of your own fractions and practice converting them to percentages with and without your calculator.


Next click here to move on to learn how to convert percent back to fraction.


For more on fractions click:

Math fractions

Equivalent fractions

Simplifying fractions

Adding fractions

How to subtract fractions

Multiplying fractions

How to divide fractions

Improper fractions

Mixed fractions (mixed numbers)

Comparing fractions

Ordering fractions

Fraction to decimal

Fraction to decimal chart

Decimal to fraction

Percent to fraction


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