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CAT Understanding the fractions in terms of percentage - Practice Questions & MCQ
Edited By admin | Updated on Oct 05, 2023 05:01 PM | #CAT
Quick Facts
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5 Questions around this concept.
Solve by difficulty
What percent of $\frac{3}{7}$ is $\frac{1}{105}$?
What percent of $\frac{1}{2}$ is:
What percent of $\frac{7}{8}$ is:
Concepts Covered - 1
Understanding the fractions in terms of percentage
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
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