This document discusses different methods for converting between percentages, fractions, and decimals. It provides the following definitions: - A percentage is a number expressed as a fraction of 100, usually denoted with % sign. - To convert a percentage to a fraction, write the percentage over 100 and simplify if possible. - To convert a fraction to a percentage, multiply the numerator and denominator by a number so the denominator is 100. - To convert a percentage to a decimal, divide the percentage by 100. - To convert a decimal to a percentage, multiply the decimal by 100. - To convert a whole number to a percentage, multiply the number by 100 and add the % sign.

1. Percentages
NIKITA, KASHISH, KHUSHI

2. Percentage %
In mathematics a percentage is
a number or ratio expressed as a
fraction of 100. It is often
denoted using the percent
sign,"%" or the abbreviation pct.

3. Conversion of percentage
into fraction:-
To convert a Percent to a Fraction follow these steps:
•Step 1: Write down the percent divided by 100.
•Step 2: If the percent is not a whole number, then
multiply both top and bottom by 10 for every number
after the decimal point. [For example, if there is one
number after the decimal, then use 10, if there are two
then use 100, etc.]
•Step 3: simplify [or reduce the fraction.

4. Example:-
Example: Express 11% as a fraction
Step 1: Write down:
11
-----
100
Step 2: The percent is a whole number, go straight to step
3.
Step 3: The fraction cannot be simplified further.
Answer = 11/100

5. Example:-
:
Step 1: Write down
75
------
100
Step 2: The percent is a whole number, go straight to step 3.
Step 3: Simplify the fraction:
75 = 15 = 3
----- ----- -----
100 20 4
Answer = 3/4

6. Conversion of fraction to
percentage:-
Step 1: Find a number you can multiply the bottom of the
fraction by to get 100.
Step 2: Multiply both top and bottom of the fraction by that
number.
Step 3. Then write down just the top number with the "%" sign.
Follow the steps:

7. Example:-
For example, in order to get a decimal fraction,
3/4 is expanded to 75/100 by multiplying the
numerator by 25 and denominator by 25:
3 = 3×25 = 75 × 100% = 75%
--- --------
4 = 4×25 100
Other method is to do long division of 3 divided
by 4.

8. Conversion of percentage
into decimal:-
In order to convert percent to decimal number,
the percentage should be divided by 100.

9. Example:-
1% = 1/100 0.01
5% = 5/100 = 0.05
10% = 10/100 = 0.1
35% = 35/100 = 0.35
50% = 50/100 = 0.5
100% = 100/100 = 1
230% = 230/100 = 2.3

10. Conversion of decimal to
percentage :-
1 = 100%
The value V% in percent (%) is equal to the decimal
value Vd times 100%:
V %= × 100%

11. Examples
0.01 = 0.01 × 100% = 1%
0.05 = 0.05 × 100% = 5%
0.3 = 0.3 × 100% = 30%
0.35 = 0.35 × 100% = 35%
3.5 = 3.5 × 100% = 350%

12. Conversion of natural and whole
numbers into percentage :-
1.Percent is an abbreviation of per centum, which means
per hundred. Three apples out of 100 apples equal 3% of
the apples.
2.A whole number is any positive number that does not
include a decimal or fraction. Examples of whole numbers
are 3, 5, 8, 23 and 42. Fractions and decimals, for example
6 ½ or 7.25, are not whole numbers. Negative numbers are
integers, but not whole numbers.
3.To convert a number into percent multiple it by 100 and
then add the percent sign.

13. Example:-
1)23 x 100 = 2300%
2) 78 x 100 = 7800%
3) 158 x 100 = 15800%

14. Conversion of percentage
into numbers:-
Step 1: Write down the percent divided by 100.
Step 2: If the percent is not a whole number, then
multiply both top and bottom by 10 for every
number after the decimal point. (For example, if
there is one number after the decimal, then use
10, if there are two then use 100, etc.)
Step 3: Simplify (or reduce) the fraction

15. Example:-
For example if a student scores 50 out of 100 in
mathematics the percentage of his marks can be
calculated by dividing 50 by 100 which comes to
be 0.5 and then multiplying it by 100 will gives the
percentage of his marks in math which is 50%.

17. The winners are