Class 6 Exam > Class 6 Notes > What is Ratios ? - Ratio & Proportion, Chapter Notes, Class 8, Maths
What is Ratios ? - Ratio & Proportion, Chapter Notes, Class 8, Maths - Class 6 PDF Download
Ratios tell how one number is related to another number.
A ratio may be written as A:B or A/B or by the phrase "A to B".
A ratio of 1:5 says that the second number is five times as large as the first.
The following steps will allow determination of a number when one number and the ratio between the numbers is given.
Example: Determine the value of B if A=6 and the ratio of A:B = 2:5
- Determine how many times the number A is divisible by the corresponding portion of the ratio. (6/2=3)
- Multiply this number by the portion of the ratio representing B (3*5=15)
- Therefore if the ratio of A:B is 2:5 and A=6 then B=15
FAQs on What is Ratios ? - Ratio & Proportion, Chapter Notes, Class 8, Maths - Class 6
| 1. What is a ratio? |  |
Ans. A ratio is a comparison of two or more quantities that have the same unit of measurement. It is expressed as a fraction or with a colon between the numbers. For example, if there are 4 red balls and 2 blue balls, the ratio of red balls to blue balls is 4:2 or 2:1.
| 2. How is a ratio different from a proportion? | |
Ans. While both ratios and proportions involve comparisons, there is a slight difference between the two. A ratio compares two quantities, whereas a proportion compares two ratios. In other words, a proportion is an equation that states that two ratios are equal.
| 3. How can ratios be used in real-life situations? | |
Ans. Ratios are widely used in various real-life situations. For example, they can be used in cooking recipes to determine the correct proportions of ingredients. Ratios are also used in financial analysis to compare different financial variables. In construction, ratios are used to determine the scale of drawings or blueprints.
| 4. Can a ratio be simplified? | |
Ans. Yes, a ratio can be simplified by dividing both terms of the ratio by their greatest common divisor. Simplifying a ratio makes it easier to work with and compare to other ratios. For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.
| 5. How can ratios be used to solve problems? | |
Ans. Ratios can be used to solve a variety of problems. One common approach is to set up a proportion using two equivalent ratios and solve for the unknown quantity. For example, if a recipe calls for 3 cups of flour for every 5 cups of sugar, and you have 10 cups of sugar, you can use a proportion to find out how much flour is needed.
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