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Let's Learn: Dividing a number using Ratios | Mathematics Class 8- New NCERT (Ganita Prakash) PDF Download
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FAQs on Let's Learn: Dividing a number using Ratios - Mathematics Class 8- New NCERT (Ganita Prakash)
| 1. What is the basic concept of dividing a number using ratios? |  |
Ans. The basic concept of dividing a number using ratios involves splitting a total amount into parts that are proportional to the given ratio. For example, if you have a total of 60 and want to divide it in the ratio of 2:3, you first add the parts of the ratio (2 + 3 = 5). Then, you divide the total by this sum (60 ÷ 5 = 12). Finally, you multiply each part of the ratio by this number: 2 × 12 = 24 and 3 × 12 = 36. Thus, 60 is divided into 24 and 36.
| 2. How do you simplify ratios before dividing a number? | |
Ans. To simplify ratios before dividing a number, you need to ensure that the numbers in the ratio are in their simplest form. This can be done by finding the greatest common divisor (GCD) of the numbers in the ratio and dividing each number by that GCD. For example, in the ratio 4:8, the GCD is 4. Dividing both terms by 4 simplifies the ratio to 1:2, making it easier to work with when dividing a total amount.
| 3. Can you give an example of dividing a number using a ratio in a real-life situation? | |
Ans. Certainly! Imagine you are organizing a party and you have a budget of 120 dollars to spend on food and decorations in the ratio of 3:2. To divide the budget accordingly, first, add the parts of the ratio (3 + 2 = 5). Next, divide the total budget by this sum (120 ÷ 5 = 24). Multiply each part of the ratio by this result: for food, you would have 3 × 24 = 72 dollars, and for decorations, 2 × 24 = 48 dollars. Thus, you would spend 72 dollars on food and 48 dollars on decorations.
| 4. What steps should be followed to divide a number in a given ratio? | |
Ans. To divide a number in a given ratio, follow these steps:
1. Identify the total amount you want to divide and the ratio you will use.
2. Add the parts of the ratio to find the total number of parts.
3. Divide the total amount by the total number of parts to find the value of one part.
4. Multiply the value of one part by each part of the ratio to get the respective shares.
| 5. What are some common mistakes to avoid when dividing a number using ratios? | |
Ans. Some common mistakes to avoid include:
1. Forgetting to add the parts of the ratio correctly, which can lead to incorrect division.
2. Not simplifying the ratio when possible, which can complicate calculations.
3. Misplacing decimal points when calculating shares.
4. Failing to check that the sum of the divided parts equals the original total amount, which is crucial for verification.
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Sep 10, 2025
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