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Exercise 6.3                                                                                 page: 6.8 
1. Write each of the following divisions as fractions: 
(i) 6 ÷ 3 
(ii) 25 ÷ 5 
(iii) 125 ÷ 50 
(iv) 55 ÷ 11 
Solution: 
 
(i) The division 6 ÷ 3 can be written as 6/3. 
 
(ii) The division 25 ÷ 5 can be written as 25/5. 
 
(iii) The division 125 ÷ 50 can be written as 125/50. 
 
(iv) The division 55 ÷ 11 can be written as 55/11. 
 
2. Write each of the following fractions as divisions: 
(i) 9/7 
(ii) 3/11 
(iii) 90/63 
(iv) 1/5 
Solution: 
 
(i) The fraction 9/7 can be written as 9 ÷ 7. 
 
(ii) The fraction 3/11 can be written as 3 ÷ 11. 
 
(iii) The fraction 90/63 can be written as 90 ÷ 63. 
 
(iv) The fraction 1/5 can be written as 1 ÷ 5. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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FAQs on Fractions (Exercise 6.3) RD Sharma Solutions - Mathematics (Maths) Class 6

1. What are fractions?
Ans. Fractions are numbers that represent a part of a whole. They are expressed in the form of a numerator and a denominator, where the numerator represents the number of parts we have and 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 make sure they have the same denominator. Once the fractions have the same denominator, we compare their numerators. The fraction with the greater numerator is larger, and the fraction with the smaller numerator is smaller.
3. How can we add or subtract fractions?
Ans. To add or subtract fractions, we need to have the same denominator. If the fractions have different denominators, we find the least common multiple (LCM) of the denominators and convert each fraction so that they have the same denominator. Once the fractions have the same denominator, we add or subtract the numerators.
4. Can fractions be simplified?
Ans. Yes, fractions can be simplified. We can simplify a fraction by dividing the numerator and denominator by their greatest common divisor (GCD). The simplified fraction will have the same value as the original fraction but will have smaller numerator and denominator values.
5. How can we multiply or divide fractions?
Ans. To multiply fractions, we multiply the numerators together and the denominators together. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by interchanging the numerator and denominator.
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