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RD Sharma Solutions: Fractions (Exercise 6.2)

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Exercise 6.2                                                                              page: 6.7 
1. Represent 2/5 on a number line. 
Solution: 
 
The fraction 2/5 is represented on a number line as given below: 
 
 
2. Represent 0/10, 1/10, 5/10 and 10/10 on a number line. 
Solution: 
 
The fraction 0/10, 1/10, 5/10 and 10/10 are represented on a number line as given below: 
 
 
3. Represent 2/7, 5/7 and 6/7 on a number line. 
Solution: 
 
The fraction 2/7, 5/7 and 6/7 are represented on a number line as given below: 
 
 
4. How many fractions lie between 0 and 1. 
Solution: 
 
Infinite number of fractions lie between 0 and 1 
This can be done by taking numerator less than denominator in a fraction. 
 
5. Represent 0/8 and 8/8 on a number line. 
Solution: 
 
The fraction 0/8 and 8/8 are represented on a number line as given below: 
 
 
 
 
 
 
 
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FAQs on RD Sharma Solutions: Fractions (Exercise 6.2)

1. What are fractions and how are they represented?
Ans. Fractions are numbers that represent a part of a whole. They are represented by two numbers, a numerator and a denominator, separated by a horizontal line. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.
2. How do we compare fractions?
Ans. To compare fractions, we need to find a common denominator. We can do this by finding the least common multiple (LCM) of the denominators. Once we have a common denominator, we compare the numerators. The fraction with the greater numerator is greater, and the fraction with the smaller numerator is smaller.
3. How can we convert a fraction into a decimal?
Ans. To convert a fraction into a decimal, we divide the numerator by the denominator. For example, if we have the fraction 3/4, we divide 3 by 4 to get 0.75. We can also use long division to convert fractions into decimals.
4. How can we simplify fractions?
Ans. To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator. Then, we divide both the numerator and the denominator by the GCD. This will give us an equivalent fraction that is simplified. For example, if we have the fraction 8/12, the GCD of 8 and 12 is 4. Dividing both 8 and 12 by 4, we get 2/3, which is the simplified form.
5. How can we add or subtract fractions?
Ans. To add or subtract fractions, we need to have a common denominator. If the denominators are already the same, we can simply add or subtract the numerators. If the denominators are different, we need to find a common denominator by finding the LCM. Once we have a common denominator, we add or subtract the numerators and keep the denominator the same.
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