Fraction and percentage
In mathematics, the set of all numbers that
can be expressed in the form a/b, where a and b are integers and b is not zero.
In mathematics, a percentage is a number or
ratio expressed as a fraction of 100.
Fraction
A Fraction represents a part of whole or,
more, generally more parts. The fraction consists of an integer numerator, and
a non-integer denominator, displayed below that line also called divided by.
Fractions can be represented as ratios and division. Thus the fraction ¾ can
also be written as 3:4. And the division will be 3÷4.
For examples:
2/4 here 2 is the numerator and 4 is the
denominator.
⅕ 1 shows the numerator and 5 is the
denominator
⅝ 5 is the numerator and 8 is the
denominator.
Percentage
It is a number or ratio expressed as a
fraction of 100. It is often denoted using the sign “%”. It is a dimensionless
number.
The percentage is also used to express the
composition of a mixture by mass percentage and mole percent.
Now
how to convert the fraction into the percentage.
For example, 75%(read as seventy-five percent)
Can also be written as 75/100, 75:100 or 0.75.
Percentages are often used to express a
proportionate part of a total.
(Similarly, one can express a number as a
fraction of 1,000 using the term “per mille” or the symbol “%”)
For example
If 60% of the mangoes are rotten this means
that 60 of the mangoes out of 100 are rotten in the basket.
For example
If 50% of the total number students are absent
that means 50 out of 100 students are absent. If there are 600 students than
300 are absent.
Now
for converting a fraction into a percentage, we need to follow few of the steps
like:
1: we need to reduce a fraction into its
simpler form.
2: we need to convert it to its decimals
3: after converting it to decimals we need to
multiply it by 100.
for example
- the given fraction is 2/4
hence it can easily be converted into its
simple form dividing the numerator and denominator by 2.
It's the simplest form will be ½
Now converting it to its decimal form we need
to divide the denominator by numerator which will here result in 0.5 after
converting a fraction into its decimal value we need to multiply it by 100 to
get fraction converted into a percentage
0.5*100 =50%
2. now you need to convert ⅔ to its percentage we need to follow the
same steps
Hence here the 1st step will be avoided
because ⅔ won’t be converted into its simplest form
Now we will find out the decimal value for
⅔ by dividing the values and after the division we will get 0.6
Now we need to multiply it by 100
0.6*100= 60%
For example
Convert 3 ¼ to a percent
For conversion of this mixed fraction, we need
to first convert it into it a proper fraction and then into its simplest form
if possible and decimal 3.25 and then multiplying it by 100