CAT Understanding the fractions in terms of percentage - Practice Questions & MCQ

Understanding Fractions:

• A fraction represents a part of a whole.
• It consists of a numerator and a denominator, separated by a slash (/).
• The numerator represents the number of parts we have, and the denominator represents the total number of equal parts.

Example: In the fraction 3/5, 3 is the numerator and 5 is the denominator. It means we have 3 out of 5 equal parts.

Understanding Decimals:

• Decimals are another way to represent fractional numbers.
• They are based on the base-10 system and consist of a whole number part and a decimal part.
• The decimal point separates the whole number part from the decimal part.

Example: In the decimal number 0.75, 0 is the whole number part and 75 is the decimal part. It can be read as "point seven five" or "seventy-five hundredths."

Understanding Percents:

• Percentages are fractions or decimals expressed out of 100.
• The symbol "%" is used to represent percentages.
• Percentages are useful for comparing different proportions or quantities.

Example: 50% is equal to 1/2 or 0.5.

Converting Fractions to Percentages:

• To convert a fraction to a percentage, multiply the fraction by 100.

Example: Convert 3/4 to a percentage.

Converting Decimals to Percentages:

• To convert a decimal to a percentage, multiply the decimal by 100.

Example: Convert 0.6 to a percentage.

Relation between Fraction and Percentage
Sr. No.	Fraction	Percentage
1	½	50%
2	1/3	33.33%
3	¼	25%
4	1/5	20%
5	1/6	16.66% = 16%
6	1/7	14.28 % = 14 %
7	1/8	12.5 % = 12%
8	1/9	11.11% = 11%
9	1/10	10% =
10	1/11	9.09% = 9%
11	1/12	8.33 % = 8%
12	1/13	7.69% = 7%
13	1/14	7.14 % = 7%
14	1/15	6.67 % = 6 %
15	1/16	6.25 % = 6%
16	1/17	5.88 % = 5%
17	1/18	5.55% = 5 %
18	1/19	5.26 % = 5%
19	1/20	5%

Converting Percentages to Fractions:

• To convert a percentage to a fraction, write the percentage as a fraction with a denominator of 100 and simplify, if possible.

Example: Convert 25% to a fraction.

Converting Percentages to Decimals:

• To convert a percentage to a decimal, divide the percentage by 100.

Example: Convert 80% to a decimal.

Tips and Tricks:

• To find a certain percentage of a number, multiply the number by that percentage.

Example: What is 25% of 80?

• To find the percentage change between two numbers, use the formula:

Percentage change = [(New Value - Old Value) / Old Value] * 100

Example: If the price of a product increased from Rs. 100 to Rs. 120, the percentage change is:

Percentage change