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Page 1 Exercise 6.1 PAGE: 6.4 1. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 3 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/3 (ii) From the figure we know that Total number of parts = 15 Number of parts which are shaded = 11 So we get Fraction of the shaded portion = 11/15 (iii) From the figure we know that Total number of parts = 9 Page 2 Exercise 6.1 PAGE: 6.4 1. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 3 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/3 (ii) From the figure we know that Total number of parts = 15 Number of parts which are shaded = 11 So we get Fraction of the shaded portion = 11/15 (iii) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 8 So we get Fraction of the shaded portion = 8/9 (iv) From the figure we know that Total number of parts = 7 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/7 (v) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/9 (vi) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/4 = 1/2 (vii) From the figure we know that Total number of parts = 2 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/2 (viii) From the figure we know that Total number of parts = 5 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/5 (ix) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/4 2. Write the fraction representing the shaded parts: Page 3 Exercise 6.1 PAGE: 6.4 1. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 3 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/3 (ii) From the figure we know that Total number of parts = 15 Number of parts which are shaded = 11 So we get Fraction of the shaded portion = 11/15 (iii) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 8 So we get Fraction of the shaded portion = 8/9 (iv) From the figure we know that Total number of parts = 7 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/7 (v) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/9 (vi) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/4 = 1/2 (vii) From the figure we know that Total number of parts = 2 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/2 (viii) From the figure we know that Total number of parts = 5 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/5 (ix) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/4 2. Write the fraction representing the shaded parts: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/9 = 1/3 (ii) From the figure we know that Total number of parts = 8 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/8 = 1/2 (iii) From the figure we know that Total number of parts = 12 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/12 = 1/4 (iv) From the figure we know that Total number of parts = 10 Number of parts which are shaded = 5 So we get Fraction of the shaded portion = 5/10 = 1/2 3. Write the fraction representing the shaded portion: Page 4 Exercise 6.1 PAGE: 6.4 1. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 3 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/3 (ii) From the figure we know that Total number of parts = 15 Number of parts which are shaded = 11 So we get Fraction of the shaded portion = 11/15 (iii) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 8 So we get Fraction of the shaded portion = 8/9 (iv) From the figure we know that Total number of parts = 7 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/7 (v) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/9 (vi) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/4 = 1/2 (vii) From the figure we know that Total number of parts = 2 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/2 (viii) From the figure we know that Total number of parts = 5 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/5 (ix) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/4 2. Write the fraction representing the shaded parts: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/9 = 1/3 (ii) From the figure we know that Total number of parts = 8 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/8 = 1/2 (iii) From the figure we know that Total number of parts = 12 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/12 = 1/4 (iv) From the figure we know that Total number of parts = 10 Number of parts which are shaded = 5 So we get Fraction of the shaded portion = 5/10 = 1/2 3. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 2 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/2 (ii) From the figure we know that Total number of parts = 8 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/8 4. Colour the part according to the fraction given: Solution: Page 5 Exercise 6.1 PAGE: 6.4 1. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 3 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/3 (ii) From the figure we know that Total number of parts = 15 Number of parts which are shaded = 11 So we get Fraction of the shaded portion = 11/15 (iii) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 8 So we get Fraction of the shaded portion = 8/9 (iv) From the figure we know that Total number of parts = 7 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/7 (v) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/9 (vi) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 2 So we get Fraction of the shaded portion = 2/4 = 1/2 (vii) From the figure we know that Total number of parts = 2 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/2 (viii) From the figure we know that Total number of parts = 5 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/5 (ix) From the figure we know that Total number of parts = 4 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/4 2. Write the fraction representing the shaded parts: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 9 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/9 = 1/3 (ii) From the figure we know that Total number of parts = 8 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/8 = 1/2 (iii) From the figure we know that Total number of parts = 12 Number of parts which are shaded = 3 So we get Fraction of the shaded portion = 3/12 = 1/4 (iv) From the figure we know that Total number of parts = 10 Number of parts which are shaded = 5 So we get Fraction of the shaded portion = 5/10 = 1/2 3. Write the fraction representing the shaded portion: Solution: We know that Fraction of the shaded portion = Number of shaded parts/ Total number of parts (i) From the figure we know that Total number of parts = 2 Number of parts which are shaded = 1 So we get Fraction of the shaded portion = 1/2 (ii) From the figure we know that Total number of parts = 8 Number of parts which are shaded = 4 So we get Fraction of the shaded portion = 4/8 4. Colour the part according to the fraction given: Solution: 5. What fraction of an hour is 20 minutes? Solution: We know that Minutes in an hour = 60 So 20 minutes of an hour = 20/ 60 = 1/3 Therefore, 1/3 of an hour is 20 minutes. 6. Write the natural numbers from 2 to 12. What fraction of them are prime numbers? Solution: We know that natural numbers from 2 to 12 are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 The prime numbers from 2 to 12 are 2, 3, 5, 7 and 11 So 5 numbers are prime among the 11 numbers Therefore, 5/11 of them are prime numbers. 7. Write the natural numbers from 102 to 113. What fraction of them are prime numbers? Solution: We know that the natural numbers from 102 to 113 are 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112 and 113 The prime numbers from 102 to 113 are 103, 107, 109 and 113 So 4 numbers are prime among the 12 numbers We get the fraction of prime numbers = 4/ 12 = 1/3 Therefore, 1/3 fraction of them are prime numbers. 8. Mukesh has a box of 24 pencils. He gives half of them to Sunita. How many does Sunita get? How manyRead More
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FAQs on Fractions (Exercise 6.1) RD Sharma Solutions - Mathematics (Maths) Class 6
| 1. What are fractions? |  |
Ans. Fractions are numbers that represent a part of a whole. They consist of a numerator and a denominator, where the numerator represents the part and the denominator represents the whole.
| 2. How do you add fractions with the same denominator? | |
Ans. When adding fractions with the same denominator, we simply add the numerators together and keep the denominator the same. For example, if we have 1/4 + 3/4, the sum would be 4/4, which can be simplified to 1.
| 3. How do you subtract fractions with different denominators? | |
Ans. To subtract fractions with different denominators, we need to find a common denominator. We can do this by finding the least common multiple (LCM) of the two denominators. Once we have a common denominator, we subtract the numerators and keep the denominator the same. For example, if we have 1/3 - 1/6, the LCM of 3 and 6 is 6. So the subtraction would be (2/6) - (1/6) = 1/6.
| 4. How do you multiply fractions? | |
Ans. To multiply fractions, we simply multiply the numerators together and the denominators together. For example, if we have 2/3 * 4/5, the product would be (2*4)/(3*5) = 8/15.
| 5. How do you divide fractions? | |
Ans. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. For example, if we have 2/3 ÷ 4/5, we would multiply by the reciprocal, which is 5/4. So the division would be (2/3) * (5/4) = 10/12, which can be simplified to 5/6.
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