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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